JEE Main 2022 Previous Year Question Paper with Solutions

Arrange the following carbocations in decreasing order of stability. A [24-Jun-2022-Shift-2]

Product 'A' of following sequence of reactions is [27-Jun-2022-Shift-2]

When 5 moles of He gas expand isothermally and reversibly at from 10 litre to 20 litre, the magnitude of the maximum work obtained is____ [nearest integer] (Given : and ) [27-Jun-2022-Shift-2]

Number of electron deficient molecules among the following and is [25-Jun-2022-Shift-1]

The structure of in the given reaction is : [27-Jul-2022-Shift-2]

The products formed in the following reaction, and are [26-Jul-2022-Shift-1]

Which of the following has least tendency to liberate from mineral acids? [28-Jul-2022-Shift-1]

Consider the following metal complexes: The spin-only magnetic moment value of the complexthat absorbes light with shortest wavelength is B. M. (Nearest integer) [25-Jul-2022-Shift-1]

Considering the above reactions, the compound ' and compound ' ' respectively are : [29-Jul-2022-Shift-1]

Consider the species and . Choose the correct option with respect to the these species. [29-Jun-2022-Shift-2]

The neutralization occurs when of acid 'A' is allowed to react with of base . The basicity of the acid ' ' is[ is a metal] [25-Jun-2022-Shift-2]

of is being titrated against . When of has been added, the of the solution will be ____ . (Nearest integer)(Given : [26-Jun-2022-Shift-1]

Among and ions, one if used as a reagent cannot liberate from dilute mineral acid solution, its spin-only magnetic moment in gaseous state is B.M. (Nearest integer) [25-Jul-2022-Shift-1]

The pressure of a moist gas at is . The volume of the container is doubled at the same temperature. The new pressure of the moist gas is (Nearest integer)(Given : The vapour pressure of water at is )

Ionic radii of cation and anion are 102 and respectively. These ions are allowed to crystallize into an ionic solid. This crystal has cubic close packing for is present in all octahedral voids. The ed

The major product of the given reaction is(where, Me is ) [28-Jun-2022-Shift-2]

Sugar moiety in DNA and RNA molecules respectively are [29-Jun-2022-Shift-1]

At and pressure, the enthalpy of combustion of benzene (I) and acetylene ( are and , respectively. The change in enthalpy for the reaction , is [25-Jun-2022-Shift-2]

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas? [27-Jun-2022-Shift-2]

Which one of the following is an example of disproportionation reaction? [26-Jun-2022-Shift-2]

The correct order of electron gain enthalpy ( ve value) is : [30-Jun-2022-Shift-1]

In the given reactionThe number of chiral carbon/s in product is___ [25-Jul-2022-Shift-1]

Most stable product of the following reaction is: [25-Jul-2022-Shift-1]

For a reaction, given below is the graph of vs . The activation energy for the reaction is equal to____ (nearest integer)(Given : ) [28-Jul-2022-Shift-2]

of acetic acid is dissolved in water to make of solution. The depression in freezing point observed for this strength of acid is . The percentage of dissociation of the acid is_____ (Nearest integer)[

The correct decreasing order of energy for the orbitals having, following set of quantum numbers : (A) (B) (C) (D) is : [27-Jul-2022-Shift-2]

A compound ' ' is a weak acid and it exhibits colour change at close to the equivalence point during neutralization of with . Compound ' ' exists in ionized form in basic medium. The compound ' ' is [

When coal of purity is allowed to burn in presence of insufficient oxygen, of carbon is converted into ' ' and the remaining is converted into ' '. The heat generated when of coal is burnt is _______.

The solubility product of a sparingly soluble salt is . If specific conductance of the solution is 1 , the limiting molar conductivity of the solution is . The value of is____ [28-Jun-2022-Shift-1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : At , the density of a solution of [atomic masses of are respectively], is ' '

What will be the major product of following sequence of reactions? [27-Jun-2022-Shift-2]

A sample containing is treated with liberating The gas is passed into a solution of and of is required to titrate the liberated iodine. The percentage of in the sample is ____ (Nearest integer)[Atomic

L-isomer of a compound 'A' gives a positive test with . Treatment of 'A' with acetic anhydride yields triacetate derivative. Compound ' ' produces an optically active compound and an optically inactiv

The standard free energy change for dissociation of into at and 1 atm pressure is . The value of is_______ (Nearest Integer)[Given : [25-Jun-2022-Shift-1]

The minimum uncertainty in the speed of an electron in an one dimensional region of length (Where Bohr radius ) is ________ (Given : Mass of electron , Planck's constant ) [29-Jul-2022-Shift-1]

Which of the following ketone will NOT give enamine on treatment with secondary amines? [where t-Bu is [25-Jun-2022-Shift-2]

moles of argon and moles of are introduced into an evacuated flask of 100 litre capacity at . The system is allowed to equilibrate. At equilibrium, the total pressure of mixture was found to be . The

The difference between spin only magnetic moment values of and is ________. [26-Jul-2022-Shift-1]

Which of the following pair is not isoelectronic species?(At. no. Sm, 62; Er, 68; Yb, 70; Lu, 71; Eu, 63; Tb, 65; Tm, 69) [28-Jul-2022-Shift-2]

The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is [26-Jun-2022-Shift-2]

When a certain amount of solid is dissolved in of water at to make a dilute solution, the vapour pressure of the solution is reduced to one-half of that of pure water. The vapour pressure of pure wate

The separation of two coloured substances was done by paper chromatography. The distances travelled by solvent front, substance A and substance from the base line are and , respectively. The ratio of

In neutral or faintly alkaline medium, being a powerful oxidant can oxidize, thiosulphate almost quantitatively, to sulphate. In this reaction overall change in oxidation state of manganese will be :

The oxide which contains an odd electron at the nitrogen atom is [26-Jun-2022-Shift-2]

In alanylglycylleucylalanylvaline, the number of peptide linkages is ____ [24-Jun-2022-Shift-2]

For the reaction given below: If two equivalents of precipitate out, then the value of will be_____ [29-Jun-2022-Shift-2]

Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it forms in acidic solution is____ [24-Jun-2022-Shift-2]

Given below are two statements:Statement I : The presence of weaker -bonds make alkenes less stable than alkanes.Statement II : The strength of the double bond is greater than that of carbon-carbon si

The above reaction has been studied at . The related data are given in the table below Reaction serial number Initial Pressure of Initial Pressureof Initial rate 1 65.6 40.0 0.135 2 65.6 20.1 0.033 3

The minimum energy that must be possessed by photons in order to produce the photoelectric effect with platinum metal is :[Given: The threshold frequency of platinum is and .] [25-Jun-2022-Shift-2]

Which one of the following is a reducing sugar? [26-Jul-2022-Shift-1]

The first ionization enthalpy of and Si, respectively, are : 496, 737 and . The first ionization enthalpy of is : [29-Jul-2022-Shift-1]

of an ideal gas is allowed to expand isothermally into vacuum until the total volume is . The amount of heat absorbed in this expansion is _____ . [28-Jun-2022-Shift-1]

Transition metal complex with highest value of crystal field splitting will be [24-Jun-2022-Shift-2]

Given below are two statements: One is labelled as Assertion AA and the other is labelled as Reason Assertion A: The reduction of a metal oxide is easier if the metal formed is in liquid state than so

The incorrect statement about the imperfections in solids is : [28-Jun-2022-Shift-1]

In a solid atoms are in ccp arrangement and atoms occupy all the octahedral sites. If two atoms from the opposite faces are removed, then the resultant stoichiometry of the compound is . The value of

A flask is filled with equal moles of and . The half lives of and are 100 s and 50 s respectively and are independent of the initial concentration. The time required for the concentration of A to be f

Which of the following pair of molecules contain odd electron molecule and an expanded octet molecule? [29-Jul-2022-Shift-1]

Metal crystallizes into a fcc lattice with the edge length of . The atomic mass of the metal is mol. (Nearest integer)( Use : , density of metal, ) [28-Jul-2022-Shift-2]

The correct IUPAC name of the following compound is : [28-Jun-2022-Shift-2]

Sum of oxidation state (magnitude) and coordination number of cobalt in is ________. [29-Jul-2022-Shift-2]

Amongst and , the number of molecules with non-zero net dipole moment is____ [25-Jun-2022-Shift-2]

The major product in the reaction [25-Jun-2022-Shift-1]

The number of chiral alcohol(s) with molecular formula is_____ [29-Jun-2022-Shift-2]

At , the equilibrium constant is for the reaction : The equilibrium constant for the reaction is . The value of is ________. (Nearest Integer) [26-Jul-2022-Shift-1]

In the following brown complex, the oxidation state of iron is _____ [30-Jun-2022-Shift-1]

Consider the above reaction, the limiting reagent of the reaction and number of moles of formed respectively are : [29-Jul-2022-Shift-1]

Consider the given chemical reaction Identify the product P. [30-Jun-2022-Shift-1]

Which statement is NOT correct for p-toluenesulphonyl chloride? [26-Jun-2022-Shift-2]

Given below are two statements :Statement I: On heating with , glycerol is dehydrated and acrolein is formed.Statement II : Acrolein has fruity odour and can be used to test glycerol's presence.Choose

Amongst the following, the number of oxide(s) which are paramagnetic in nature is [27-Jul-2022-Shift-1]

The correct order of energy of absorption for the following metal complexes is [25-Jul-2022-Shift-2]

Identify the incorrect statement from the following. [28-Jul-2022-Shift-1]

Optical activity of an enantiomeric mixture is and the specific rotation of isomer is The optical purity is ________ [27-Jul-2022-Shift-1]

Which of the following conditions or reaction sequence will NOT give acetophenone as the major product? [25-Jun-2022-Shift-2]

For combustion of one mole of magnesium in an open container at and 1 bar pressure, mol , the magnitude of change in internal energy for the reaction is _____ kJ. (Nearest integer)(Given : ) [28-Jun-2

Given below are two statements one is labelled as Assertion A and the other is labelled as Reason R :Assertion A : The amphoteric nature of water is explained by using Lewis acid/base concept.Reason R

The osmotic pressure of blood is bar at . To inject glucose to a patient intravenously, it has to be isotonic with blood. The concentration of glucose solution in is(Molar mass of glucose ) _____(Near

Which of the following -metal ion will give the lowest enthalpy of hydration when dissolved in water? [29-Jul-2022-Shift-2]

Given below are two statements. Statement I: Iron (III) catalyst, acidified and neutral have the ability to oxidise to independently. Statement II: Manganate ion is paramagnetic in nature and involves

The correct order of bond orders of and is, respectively [24-Jun-2022-Shift-2]

The molar conductivity of a conductivity cell filled with 10 moles of solution is and that of 20 moles another identical cell heaving solution is . The conductivities exhibited by these two cells are

The structure of protein that is unaffected by heating is [29-Jun-2022-Shift-2]

Which oxoacid of phosphorous has the highest number of oxygen atoms present in its chemical formula? [27-Jul-2022-Shift-1]

The vapour pressures of two volatile liquids and at are 50 Torr and 100 Torr, respectively. If the liquid mixture contains mole fraction of , then the mole fraction of liquid in the vapour phase is .

A hydrocarbon ' ' is found to have molar mass of of compound ' ' on hydrogenation consumed of gas (measured at STP). Ozonolysis of compound 'X' yields only formaldehyde and dialdehyde. The total numbe

Match List I with List II List - I (Complex) List - II (Hybridization) (A) (I) (B) (II) (C) (III) (D) (IV) Choose the correct answer from the options given below: [28-Jul-2022-Shift-2]

The number of radial and angular nodes in orbital are, respectively [26-Jun-2022-Shift-2]

A dilute solution of sulphuric acid is electrolysed using a current of for 2 hours to produce hydrogen and oxygen gas. The total volume of gases produced a STP is_____ . (Nearest integer)[Given : Fara

Given below are two statements.Statement I : Maltose has two -D-glucose units linked at and and is a reducing sugar.Statement II : Maltose has two monosaccharides : -D-glucose and -D-glucose linked at

The number of radial nodes and total number of nodes in orbital respectively are : [30-Jun-2022-Shift-1]

The metal complex that is diamagnetic is (Atomic number: ) [26-Jul-2022-Shift-2]

The reaction of zinc with excess of aqueous alkali, evolves hydrogen gas and gives : [29-Jul-2022-Shift-1]

Which of the following reagents / reactions will convert 'A' to ' ' ? [24-Jun-2022-Shift-2]

Number of grams of bromine that will completely react with of pent-1-ene is (Atomic mass of ) [Nearest Integer] [25-Jun-2022-Shift-1]

Consider, and . Amongst the above molecule(s)/ion(s), the number of molecule(s)/ion(s) having hybridisation is ________. [29-Jul-2022-Shift-2]

The cell potential for is at . The reaction quotient for the above reaction is . The number of electrons involved in the given electrochemical cell reaction is( Given : and ) [25-Jul-2022-Shift-1]

For a first order reaction , the rate constant, . The time required for completion of reaction is times the half life of reaction. The value of is____𝜕 (Nearest integer)(Given : [28-Jun-2022-Shift-1]

Consider an imaginary ion . The nucleus contains ' ' more neutrons than the number of electrons in the ion. The value of ' ' is ________ . [nearest integer] [26-Jul-2022-Shift-2]

A mixture of hydrogen and oxygen contains hydrogen by mass when the pressure is bar. The partial pressure of hydrogen is bar. (Nearest Integer) [26-Jul-2022-Shift-1]

Reaction of with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of electrons present in -orbitals of the product is__ [26-Jun-2022-Shift-2]

In following pairs, the one in which both transition metal ions are colourless is : [29-Jul-2022-Shift-1]

Consider the following reaction: alkali (Major Product)If is an oxoacid of phosphorus with no bond, then is : [26-Jun-2022-Shift-1]

The conductivity of a solution of complex with formula corresponds to electrolyte, then the primary valency of central metal ion is _______. [27-Jul-2022-Shift-1]

An organic compound 'A' on reaction with followed by heating gives compound . Which on further strong heating gives compound . Compound on sequential reaction withethanolic , alkyl chloride and hydrol

Heating white phosphorus with conc. solution gives mainly: [27-Jun-2022-Shift-1]

The correct structure of [25-Jul-2022-Shift-2]

of solution is used for the titration of of solution in the acidic medium. The molarity of solution is _______ . (Nearest Integer) [27-Jul-2022-Shift-1]

List I List II (A) (I) (B) (II) (C) (III) (D) (IV) Choose the correct answer from the options given below : [25-Jul-2022-Shift-1]

In which of the following pairs, electron gain enthalpies of constituent elements are nearly the same or identical? (A) and (B) Na and K (C) Ar and (D) I and At Choose the correct answer from the opti

Identify the correct statement for from those given below :(A) In , all B-H bonds are equivalent.(B) In , there are four 3-centre-2-electron bonds.(C) is a Lewis acid.(D) can be synthesized from both

Consider the above reaction and identify the intermediate ' ' [26-Jun-2022-Shift-1]

The osmotic pressure exerted by a solution prepared by dissolving of protein of molar mass in of water at is ______ Pa. [integer value] (use ) [26-Jun-2022-Shift-2]

The electronic configuration of (atomic number 78 ) is: [29-Jun-2022-Shift-1]

For a reaction the half lives are and when the concentration of reactant is and respectively. The order of the reaction is _______. (Nearest Integer) [26-Jul-2022-Shift-1]

List I List II (A) Sulphate (I Pesticide (B) Fluoride (II) Bending of bones (C) Nicotine (III) Laxative effect (D) Sodium arsinite (IV) Herbicide Choose the correct answer from the options given below

When of nitric acid is heated in a beaker, its volume is reduced to half and of nitric acid is evaporated. The molarity of the remaining nitric acid solution is . (Nearest integer) (Molar mass of nitr

of hypo solution is used for the titration of of copper sulphate solution, in the presence of excess of using starch as an indicator. The molarity of is found to be _______ [nearest integer] Given [26

An element crystallises in a body centred cubic unit cell with a cell edge of . The density of the element is . The number of atoms present in of the element is _________ (Nearest integer) [28-Jul-202

Given below are two statements. Statement 1: The compound is optically active. Statement II : is mirror image of above compound . In the light of the above statement, choose the most appropriate answe

List-1 List -II (A) I (B) II (C) III (D) IV Choose the most appropriate answer from the options given below : [24-Jun-2022-Shift-1]

When of is mixed with of solution in a flask, the rise in temperature of the flask is _______ (Enthalpy of neutralisation and Specific heat of water ) (Neglect heat capacity of flask) [29-Jul-2022-Shi

Consider the following reaction sequence:The product ' ' is : [29-Jul-2022-Shift-1]

A compound ' ' is acidic and it is soluble in solution, but insoluble in solution. Compound ' ' also gives violet colour with neutral solution. The compound ' ' is : [29-Jul-2022-Shift-1]

For the below given cyclic hemiacetal , the correct pyranose structure is : [28-Jul-2022-Shift-1]

An acidified manganate solution undergoes disproportionation reaction. The spin-only magnetic moment value of the product having manganese in higher oxidation state is _______B.M. (Nearest integer) [2

and in the above atmospheric reaction step are : [26-Jul-2022-Shift-1]

The major product of the following reaction contains _____bromine atom(s). [28-Jun-2022-Shift-2]

In the given reaction 'A' can be [25-Jun-2022-Shift-2]

Among the following species the number of species showing diamagnesim is [25-Jul-2022-Shift-1]

Hemoglobin contains of iron by mass. The number of Fe atoms in of hemoglobin is (Given: Atomic mass of Fe is .) [26-Jul-2022-Shift-2]

Compound A contains Hydrogen, Carbon and Nitrogen. The molecular formula of the compound is,Given : Atomic masses of and are 12,1 and 14 amu respectively.The molar mass of the compound is . [28-Jun-20

should be an inner orbital complex. Ignoring the pairing energy, the value of crystal field stabilization energy for this complex is _______ . (Nearest integer) [29-Jul-2022-Shift-1]

A sample of polyhydric alcoholic compound 'X' of molar mass gave of gas at STP. The number of alcoholic hydrogens present in compound ' ' is ________. [29-Jul-2022-Shift-2]

Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide followed by acidic hydrolysis? [26-Jul-2022-Shift-1]

Match List - I with List - II, match the gas evolved during each reaction. List - I (A) (B) (C) (D) List - II (I) (II) (III) (IV) Choose the correct answer from the options given below: [28-Jul-2022-S

According to MO theory, number of species/ions from the following having identical bond order is ________. [27-Jul-2022-Shift-1]

A percent solution of potassium chloride was found to freeze at . The percentage dissociation of potassium chloride is____ (Nearest integer)(Molal depression constant for water is and molar mass of )

Which of the following carbocations is most stable? [29-Jun-2022-Shift-2]

The resistance of a conductivity cell containing solution at is . If the conductivity of solution at is , then the cell constant of the conductivity cell is _____ [24-Jun-2022-Shift-2]

Boiling point of a aqueous solution of a non-volatile solute is equal to the boiling point of aqueous solution of a non-volatile solute . The relation between molecular weights of and is [27-Jul-2022-

The metal ion (in gaseous state) with lowest spin-only magnetic moment value is [25-Jun-2022-Shift-2]

of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of evolved (at STP) was found to be . The percentage of nitrogen in the compound is ______[nearest intege

The cell potential for the following cell is at . The of the solution is _____(Nearest integer)(Given : and ) [24-Jun-2022-Shift-1]

Which will have the highest enol content? [26-Jun-2022-Shift-1]

Hydrolysis of which compound will give carbolic acid? [26-Jul-2022-Shift-2]

of an organic compound that contains only carbon and hydrogen gives of and of water on complete combustion. The percentage of carbon and hydrogen, respectively are [24-Jun-2022-Shift-2]

In the following reaction : The compounds A and B respectively are : [25-Jun-2022-Shift-1]

Which technique among the following, is most appropriate in separation of a mixture of of nitrophenol and picric acid? [26-Jul-2022-Shift-1]

At , ozone is fifty percent dissociated. The standard free energy change at this temperature and 1 atm pressure is . (Nearest integer) [Given : and ] [24-Jun-2022-Shift-1]

Hex-4-ene-2-ol on treatment with PCC gives 'A'. 'A' on reaction with sodium hypoiodite gives ' ', which on further heating with soda lime gives ' '. The compound ' ' is : [24-Jun-2022-Shift-2]

Which of the following is not an example of benzenoid compound? [26-Jul-2022-Shift-2]

Chlorophyll extracted from the crushed green leaves was dissolved in water to make solution of of concentration . The number of atoms of in this solution is atoms. The value of is _________. (Nearest

A sample of of an unknown monohydric alcohol, R-OH was added to methylmagnesium iodide. A gas is evolved and is collected and its volume measured to be . The molecular weight of the unknown alcohol is

For the reaction The enthalpy change for the above reaction is _______ [nearest integer] Given: [26-Jul-2022-Shift-2]

For a cell, the cell potential is found to be at . The magnitude of standard electrode potential for is _______ [Given : and [29-Jul-2022-Shift-2]

For complete combustion of methanol the amount of heat produced as measured by bomb calorimeter is at . The enthalpy of combustion for the reaction is , where is____ (Nearest integer)(Given : ) [26-Ju

The of different types of half cells are as follows: A B C D (Where is the electromotive force)Which of the above half cells would be preferred to be used as reference electrode? [26-Jun-2022-Shift-1]

Glycosidic linkage between C1 of -glucose and C2 of -fructose is found in [25-Jul-2022-Shift-2]

A gas (Molar mass ) was burnt in excess in a constant volume calorimeter and during combustion the temperature of calorimeter increased from to . If the heat capacity of calorimeter is and enthalpy of

Amongst the following, the number of molecule/(s) having net resultant dipole moment is______ [30-Jun-2022-Shift-1]

Given below are two statements: one is labelled as Assertion and the other is labelled as Reason Assertion A: Phenolphthalein is a dependent indicator, remains colourless in acidic solution and gives

When the excited electron of a atom from drops to the ground state, the maximum number of emission lines observed are______ [25-Jul-2022-Shift-2]

The molar heat capacity for an ideal gas at constant pressure is . The change in internal energy is upon heating it from to . The number of moles of the gas at constant volume is _______. [ [Nearest i

With respect to the following reaction, consider the given statements : (A) o-Nitroaniline and p-nitroaniline are the predominant products.(B) p-Nitroaniline and m-nitroaniline are the predominant pro

The most common oxidation state of Lanthanoid elements is . Which of the following is likely to deviate easily from oxidation state? [26-Jun-2022-Shift-2]

In the titration of and oxalic acid in acidic medium, the change in oxidation number of carbon at the end point is ________. [27-Jul-2022-Shift-1]

Which of the following statements are correct?(A) The electronic configuration of is .(B) The magnetic quantum number may have a negative value.(C) In the ground state of an atom, the orbitals are fil

The major product (P) in the reaction [28-Jun-2022-Shift-1]

White precipitate of dissolves in aqueous ammonia solution due to formation of : [25-Jun-2022-Shift-1]

Given below are two statements. Statement I: The chlorides of and have -bridged structure. Both are soluble in organic solvents and act as Lewis bases. Statement II: Hydroxides of Be and dissolve in e

In the above reaction product is: [27-Jul-2022-Shift-1]

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : Fluorine forms one oxoacid.Reason R : Fluorine has smallest size amongst all halogen

The moles of methane required to produce of water after complete combustion is ____ mol. [nearest integer] [26-Jun-2022-Shift-2]

The hybridization of exhibited in is . The value of is____ [28-Jun-2022-Shift-1]

A compound on reaction with and produces the same major product but different by product ' ' and ' '. Oxidation of ' ' gives a substance produced by ants. ' ' and 'Y' respectively are [25-Jul-2022-Shi

The reagent neutral ferric chloride is used to detect the presence of [30-Jun-2022-Shift-1]

The total number of monobromo derivatives formed by he alkanes with molecular formula is (excluding stereo isomers) [25-Jul-2022-Shift-2]

The major product in the given reaction is [28-Jul-2022-Shift-2]

The formula of the purple colour formed in Laissaigne's test for sulphur using sodium nitroprusside is [28-Jun-2022-Shift-1]

value of solution is___ [27-Jun-2022-Shift-2]

The Gibbs free energy change for the above reaction at is . The value of is ______ [nearest integer][Given : ] [26-Jun-2022-Shift-2]

and are the respective ionization constants for the following reactions (a), (b) and (c). (a) (b) (c) The relationship between and is given as [25-Jul-2022-Shift-2]

of an ideal gas is kept in a cylinder of volume at under bar pressure. The molar mass of the gas is _____ . (Nearest integer)(Given : ) [28-Jun-2022-Shift-2]

At , the solubility of in water is . The solubility product of is _______ . (Give molar mass : ) [27-Jul-2022-Shift-1]

The number of hybridised carbons in an acyclic neutral compound with molecular formula is [25-Jul-2022-Shift-1]

For the decomposition of azomethane. , a first order reaction, the variation in partial pressure with time at is given as. The half life of the reaction is_____ . [Nearest integer] [25-Jul-2022-Shift-

Which of the following is an example of conjugated diketone? [24-Jun-2022-Shift-1]

The number of interhalogens from the following having square pyramidal structure is : [28-Jul-2022-Shift-1]

The interhalogen compound formed from the reaction of bromine with excess of fluorine is a: [25-Jul-2022-Shift-1]

Low oxidation state of metals in their complexes are common when ligands: [27-Jul-2022-Shift-2]

A solution of on treatment with methanol produces of a gas at STP. The weight of gas produced is _______ mg. [nearest integer] [26-Jul-2022-Shift-2]

Which of the following will have maximum stabilization due to crystal field? [27-Jun-2022-Shift-1]

Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason Assertion A : Permanganate titrations are not performed in presence of hydrochloric acid.Reason R :

For the given first order reaction the half life of the reaction is . The ratio of the initial concentration of reactant to the concentration of reactant at time will be equal to ________. (Nearest in

Consider the above reaction and predict the major product. [26-Jul-2022-Shift-2]

An organic compound ' A ' contains nitrogen and chlorine. It dissolves readily in water to give a solution that turns litmus red. Titration of compound with standard base indicates that the molecular

The most stable trihalide of nitrogen is: [24-Jun-2022-Shift-1]

Given below are two statements :Statement I : The esterification of carboxylic acid with an alcohol is a nucleophilic acyl substitution.Statement II : Electron withdrawing groups in the carboxylic aci

Compound I is heated with Conc. HI to give a hydroxy compound A which is further heated with Zn dust to give compound B. Identify A and B. [28-Jul-2022-Shift-2]

In Carius method of estimation of halogen, of an organic compound gave of . Find out the percentage of bromine in the compound. (Molar masses : ) [27-Jul-2022-Shift-1]

Total number of possible stereoisomers of dimethyl cyclopentane is____ [27-Jun-2022-Shift-1]

Stability of -Helix structure of proteins depends upon [28-Jun-2022-Shift-1]

Amongst the following, the major product of the given chemical reaction is [25-Jun-2022-Shift-2]

In the given reaction sequence, the major product is : [24-Jun-2022-Shift-1]

In the presence of sunlight, benzene reacts with to give product, . The number of hydrogens in is _________. [26-Jul-2022-Shift-1]

In base vs. acid titration, at the end point methyl orange is present as [25-Jul-2022-Shift-2]

Among the following marked proton of which compound shows lowest value? [28-Jul-2022-Shift-1]

The oxoacid of phosphorus that is easily obtained from a reaction of alkali and white phosphorus and has two P-H bonds, is : [29-Jun-2022-Shift-1]

The intermediate X, in the reaction : [25-Jun-2022-Shift-1]

Which of the following oxoacids of sulphur contains "S" in two different oxidation states? [28-Jun-2022-Shift-2]

For a reaction at equilibrium , the relation between dissociation constant (K), degree of dissociation and equilibrium pressure is given by: [24-Jun-2022-Shift-1]

A sample of of an organic compound when analyzed by Duma's method yields of nitrogen gas collected over solution at and . The percentage of nitrogen in the given organic compound is ____(Nearest integ

In the above reaction 'A' is [28-Jun-2022-Shift-2]

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R. Assertion : Boric acid is a weak acid. Reason : Boric acid is not able to release ion on its own.

Atoms of element form hcp lattice and those of element occupy of its tetrahedral voids. The percentage of element in the lattice is____ (Nearest integer) [24-Jun-2022-Shift-1]

The sugar produced after complete hydrolysis of DNA is [30-Jun-2022-Shift-1]

The correct sequential order of the reagents for the given reaction is [26-Jul-2022-Shift-2]

The rate constants for decomposition of acetaldehyde have been measured over the temperature range . The data has been analysed by plotting graph. The value of activation energy for the reaction is .

An element has a body centred cubic (bcc) structure with a cell edge of . The density of the element is . The number of atoms present in of the element is____Given : Avogadro constant, . [30-Jun-2022-

In the above reaction, of toluene is converted into benzaldehyde with yield. The amount of benzaldehyde produced is ________ . (Nearest integer) [27-Jul-2022-Shift-2]

Amongst and , the spin-only magnetic moment value of the innerorbital complex that absorbs light at shortest wavelength is_____ B.M. [nearest integer] [25-Jun-2022-Shift-2]

The total number of bonds in is ________. [27-Jul-2022-Shift-1]

The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to : [26-Jul-2022-Shift-1]

If the wavelength for an electron emitted from -atom is , then energy absorbed by the electron in its ground state compared to minimum energy required for its escape from the atom, is times. (Nearest

Solute A associates in water. When of solute is dissolved in of water, it depresses the freezing point by . The percentage association of solute A in water, is :[Given : Molar mass of . Molal depressi

In series, the metal having the highest standard electrode potential is [27-Jun-2022-Shift-2]

Among the following, which is the strongest oxidizing agent? [25-Jun-2022-Shift-1]

What is the major product of the following reaction? [25-Jul-2022-Shift-2]

Which statement is not true with respect to nitrate ion test? [26-Jun-2022-Shift-1]

'x' of molecular oxygen is mixed with of neon . The total pressure of the nonreactive mixture of and in the cylinder is 25 bar. The partial pressure of is 20 bar at the same temperature and volume. Th

While performing a thermodynamics experiment, a student made the following observations. The enthalpy of ionization of as calculated by the student is _____ . (nearest integer) [25-Jul-2022-Shift-2]

for butyric acid is . The of solution of butyric acid is _______ . (Nearest integer) [Given [28-Jul-2022-Shift-1]

A sample of an organic compound was digested with conc. and then distilled with . The ammonia gas evolved was passed through of . The used acid required of for complete neutralization. The mass percen

List - I (Si-Compounds) List - II (Si-Polymeric/Other Products (A) (I) Chain Silicone (B) (II) Dimeric Silicone (C) (III) Silane (D) (IV) 2D - Silicone Choose the correct answer from the options given

In the structure of , the lone pair of electrons on is in. [28-Jun-2022-Shift-2]

Correct formula of the compound which gives a white precipitate with solution, but not with solution, is [30-Jun-2022-Shift-1]

How many of the given compounds will give a positive Biuret test ?Glycine, Glycylalanine, Tripeptide, Biuret [25-Jun-2022-Shift-2]

Consider the above reaction. The number of electrons present in the product ' ' is_____ [24-Jun-2022-Shift-2]

The number of stereoisomers formed in a reaction of with is ________. [where is ] [29-Jul-2022-Shift-2]

The pair, in which ions are isoelectronic with is : [25-Jun-2022-Shift-1]

cation gives a prussian blue precipitate on addition of potassium ferrocyanide solution due to the formation of : [27-Jul-2022-Shift-2]

A polysaccharide ' ' on boiling with dil at under 2-3 atm pressure yields ' '. ' ' on treatment with bromine water gives gluconic acid. 'X' contains -glycosidic linkages only. Compound ' ' is : [24-Ju

Which one of the following reactions does not represent correct combination of substrate and product under the given conditions? [25-Jul-2022-Shift-1]

mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work done for the expansion of gas from state 1 to state 2 at is ______J. (Nearest integer)

Given below are two statements :Statement I : The pentavalent oxide of group- 15 element, , is less acidic than trivalent oxide, , of the same element.Statement II : The acidic character of trivalent

The major product of the following reaction is [26-Jul-2022-Shift-1]

Choose the correct option for the following reactions. [28-Jul-2022-Shift-1]

The major product of the following given reaction has_____ hybridized carbon atoms. [24-Jun-2022-Shift-1]

Two isomers and with Molar mass and elemental composition and gave benzoic acid and p-bromobenzoic acid, respectively on oxidation with . Isomer 'A' is optically active and gives a pale yellow precipi

Given below are two statements: one is labelled as Assertion and, the other is labelled as Reason R. Assertion A: [6] Annulene, [8] Annulene and cis-[10] Annulene, are respectively aromatic, not-aroma

Consider the following reactions: The number of ionisable protons present in the product is [25-Jun-2022-Shift-2]

In the cobalt-carbonyl complex : , number of bonds is "X" and terminal ligands is "Y". [24-Jun-2022-Shift-1]

Match List - I with List - II. List - I List - II (A) (l) Primary battery (B) (II) Discharging of secondary battery (C) (III) Fuel cell (D) (IV) Charging of secondary batteryChoose the correct answer

The incorrect statement is [27-Jul-2022-Shift-1]

The stable carbocation formed in the above reaction is [29-Jun-2022-Shift-2]

In the following structures, which on is having staggered conformation with maximum dihedral angle? [25-Jun-2022-Shift-1]

Consider the above reaction, the compound is : [29-Jul-2022-Shift-1]

Dinitrogen is a robust compound, but reacts at high altitudes to form oxides. The oxide of nitrogen that can damage plant leaves and retard photosynthesis is [29-Jul-2022-Shift-2]

At and pressure, the enthalpies of combustion are as given below: Substance C (graphite) -286.0-394.0-1560.0 The enthalpy of formation of ethane is [24-Jun-2022-Shift-2]

A fish swimming in water body when taken out from the water body is covered with a film of water of weight . When it is subjected to cooking at , then the internal energy for vaporization in is _____[

If absorbs a light of wavelength for transition, then the value of octahedral crystal field splitting energy for will be ____ [Nearest Integer](Given : and ) [25-Jun-2022-Shift-1]

Major product of the following reaction is : [25-Jul-2022-Shift-2]

Two elements and which form moles of and type compounds. If both and weigh equally, then the atomic weight of is_____ times of atomic weight of . [27-Jun-2022-Shift-1]

In bromination of Propyne, with Bromine, 1, 1, 2, 2-tetrabromopropane is obtained in 27\% yield. The amount of 1, 1, 2, 2-tetrabromopropane obtained from of Bromine in this reaction is _______ x . (Ne

It has been found that for a chemical reaction with rise in temperature by the rate constant gets doubled. Assuming a reaction to be occurring at , the value of activation energy is found to be _____

Which of the following elements is considered as a metalloid? [26-Jun-2022-Shift-2]

If formation of compound follows the first order of kinetics and after 70 minutes the concentration of was found to be half of its initial concentration. Then the rate constant of the reaction is . Th

Given below are two statements : Statement I : For KI, molar conductivity increases steeply with dilution Statement II : For carbonic acid, molar conductivity increases slowly with dilution In the lig

On complete combustion of an organic compound gave of carbon dioxide and of water. The percentage of carbon in the given organic compound is ____(Nearest integer) [26-Jun-2022-Shift-1]

A rigid nitrogen tank stored inside a laboratory has a pressure of at when the temperature is . At 03:00 pm, when the temperature is , the pressure in the tank will be ____atm. [nearest integer] [25-J

Which of the following structure are aromatic in nature? [28-Jun-2022-Shift-1]

While estimating the nitrogen present in an organic compound by Kjeldahl's method, the ammonia evolved from of the compound neutralized of . The percentage of nitrogen present in organic compound is [

Given below are two statements :Statement I : In Hofmann degradation reaction, the migration of only an alkyl group takes place from carbonyl carbon of the amide to the nitrogen atom.Statement II : Th

of undergoes decomposition to and at for this decomposition reaction at one atmosphere pressure is ____ . [nearest integer](Use [26-Jun-2022-Shift-2]

vs plot for the formation of , involving reaction , will look like : [30-Jun-2022-Shift-1]

Which one of the following elemental forms is not present in the enamel of the teeth? [24-Jun-2022-Shift-1]

If gas is bubbled through water at , the number of millimoles of gas that dissolve in 1 litre of water is ________. (Nearest Integer) (Given : Henry's Law constant for at is and partial pressure of )

The ' ' orbitals are half and completely filled, respectively in lanthanide ions[Given : Atomic no. Eu, 63; [27-Jun-2022-Shift-2]

Given below are two statements.- Statement I : In bonds are present.- Statement II : In , ligands coordinating with ion are O-and S-based ligands.In the light of the above statements, choose the corre

The number of terminal oxygen atoms present in the product B obtained from the following reaction is_____ [29-Jun-2022-Shift-1]

A white precipitate was formed when was added to water extract of an inorganic salt. Further, a gas ' ' with characteristic odour was released when the formed white precipitate was dissolved in dilute

The limiting molar conductivities of and are and , respectively (all at ). The limiting molar conductivity of at this temperature is ____ [27-Jun-2022-Shift-1]

The first ionization enthalpies of and follow the order [25-Jul-2022-Shift-2]

Identify the incorrect statement for from the following. [27-Jun-2022-Shift-2]

List - I Enzyne List - IIConversion of A. Invertase I. Starch into maltose B. Zymase II. Maltose into glucose C. Diastase III. Glucose into ethanol D. Maltase IV. Cane sugar into glucose Choose the mo

Consider the above reaction sequence. Identify the component A and component B : [30-Jun-2022-Shift-1]

Halogenation of which one of the following will yield m-substituted product with respect to methyl group as a major product? [26-Jun-2022-Shift-2]

The formulas of and for the following reaction sequence are [28-Jul-2022-Shift-2]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Experimental reaction of with aniline and anhydrous does not give and methyla

Observe structures of the following compounds The total number of structures/compounds which possess asymmetric carbon atoms is ______________. [29-Jun-2022-Shift-1]

The spin only magnetic moment of the complex present in Fehling's reagent is _________ B.M. (Nearest integer). [27-Jul-2022-Shift-2]

If the uncertainty in velocity and position of a minute particle in space are, and respectively. The mass of the particle in is____ (Nearest integer)(Given : ) [27-Jun-2022-Shift-1]

A solution of is electrolyzed for ' ' min with a current of to deposit of Fe. The value of is [nearest integer]Given : Atomic mass of [25-Jun-2022-Shift-2]

Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an electron?(A) NO(B) (C) (D) (E) Choose the most appropriate answer from the option

0.01 solution was added to of s salt solution through a burette. The initial reading of burette is zero. The volume of solution left in the burette after the end point is _____ . (nearest integer) [28

Which among the following pairs of the structures will give different products on ozonolysis? (Consider the double bonds in the structures are rigid and not delocalized.) [29-Jul-2022-Shift-1]

Sulphur dioxide is one of the components of polluted air. is also a major contributor to acid rain. The correct and complete reaction to represent acid rain caused by is [29-Jun-2022-Shift-2]

Consider the following statements :(A) The principal quantum number ' ' is a positive integer with values of ' ' (B) The azimuthal quantum number 'I' for a given 'n' (principal quantum number) can hav

The IUPAC nomenclature of an element with electronic configuration is : [25-Jul-2022-Shift-1]

Consider the ions/molecule For increasing bond order the correct option is : [26-Jun-2022-Shift-1]

For the reaction taking place in the cell : The value of is ____ . (in nearestinteger) [27-Jun-2022-Shift-2]

The plot of -metric titration of weak base vs strong acid looks like : [27-Jul-2022-Shift-2]

The final product ' ' in the following series of reactions [26-Jun-2022-Shift-2]

Choose the correct answer from the options given below: List-1 List-II (A) I. in (B) II. (C) III. (D) IV. [27-Jun-2022-Shift-2]

Among the following, basic oxide is : [28-Jun-2022-Shift-2]

When sugar ' ' is boiled with dilute in alcoholic solution, two isomers ' ' and ' ' are formed. ' ' on oxidation with yields saccharic acid where as ' ' is laevorotatory. The compound ' ' is : [28-Jun

For kinetic study of the reaction of iodide ion with at room temperature : (A) Always use freshly prepared starch solution. (B) Always keep the concentration of sodium thiosulphate solution less than

Consider the following pairs of electrons(A) (b) (B) (a) (b) (C) (b) The pairs of electrons present in degenerate orbitals is/are : [24-Jun-2022-Shift-1]

Consider the reaction The amount of required to produce of is (Given: Atomic masses of and are and 39 , respectively.) [29-Jul-2022-Shift-2]

Given below are two statements:Statement I : Phenols are weakly acidic.Statement II : Therefore they are freely soluble in solution and are weaker acids than alcohols and water.Choose the most appropr

Animal starch is the other name of [26-Jul-2022-Shift-2]

The IUPAC name of ethylidene chloride is : [25-Jun-2022-Shift-1]

Dinitrogen and dioxygen, the main constituents of air do not react with each other in atmosphere to form oxides of nitrogen because [28-Jul-2022-Shift-2]

[24-Jun-2022-Shift-1]

Choose the reaction which is not possible: [30-Jun-2022-Shift-1]

Consider the above reaction sequence and identify the product B. [26-Jun-2022-Shift-1]

Which among the following will be the major product of the given reaction? [30-Jun-2022-Shift-1]

The correct decreasing order of priority of functional groups in naming an organic Question: compound as per IUFAC system of nomenclature is [26-Jul-2022-Shift-2]

When borax is heated with on a platinum loop, blue coloured bead formed is largely due to [29-Jul-2022-Shift-2]

Number of lone pair(s) of electrons on central atom and the shape molecule respectively, are [29-Jun-2022-Shift-2]

Metal deficiency defect is shown by . In the crystal, some cations are missing and loss of positive charge is compensated by the presence of ions. The percentage of ions in the crystals is ___(Nearest

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is at and 100 . The molar mass of geraniol is ______ . (Nearest Integer) Given : ] [29-Jun-2022-Shift-1]

In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations may be present? [24-Jun-2022-Shift-2]

of an organic compound containing chlorine gave of silver chloride in Carius estimation. The percentage of chlorine present in the compound is_____ [in nearest integer](Given : Molar mass of is and th

The reaction of with bromine and gives as the end product. Which one of the following is the intermediate product formed in this reation? [25-Jun-2022-Shift-1]

The wavelength of an electron and a neutron will become equal when the velocity of the electron is times the velocity of neutron. The value of is ________.(Nearest Integer) (Mass of electron is and ma

For a real gas at temperature and high pressure ( ) the value of compressibility factor is 2 , so the value of Vander Waal's constant 'b' should be ________ (Nearest integer) (Given bar ) [27-Jul-2022

The geometry around boron in the product ' ' formed from the following reaction is [25-Jul-2022-Shift-1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) Assertion (A) : Boron is unable to form . Reason : Size of is very small. In the light of the

of a non-volatile non-electrolyte solute is dissolved in of two different solvents and whose ebullioscopic constants are in the ratio of . The elevation in boiling points of and are in the ratio . The

The activation energy of one of the reactions in a biochemical process is . When the temperature falls from 310 to , the change in rate constant observed is . The value of is______[Given [29-Jun-2022-

Given below are two statements. Statement I: Stannane is an example of a molecular hydride. Statement II : Stannane is a planar molecule. In the light of the above statement, choose the most appropria

The half life for the decomposition of gaseous compound is when the gaseous pressure was 500 Torr initially. When the pressure was 250 Torr, the half life was found to be . The order ofthe reaction is

A protein ' ' contains of glycine (molecular weight 75 ). The minimum molar mass of the protein ' ' is ____ [nearest integer] [25-Jun-2022-Shift-2]

Which of the following sets of quantum numbers is not allowed? [25-Jul-2022-Shift-1]

A commercially sold conc. is by mass. If the density of this commercial acid is , the molarity of this solution is:(Atomic mass : ) [26-Jun-2022-Shift-1]

The distance between and ions in solid of density is ____ . (Nearest Integer)(Given : ) [25-Jun-2022-Shift-1]

Which of the following relation is not correct? [28-Jul-2022-Shift-1]

In a linear tetrapeptide (Constituted with different amino acids), (number of amino acids) - (number of peptide bonds) is ______. [29-Jul-2022-Shift-1]

For the given reactions the electrode potentials are and . The magnitude of standard electrode potential for i.e. is _____ . (Nearest integer) [28-Jun-2022-Shift-2]

[25-Jun-2022-Shift-1]

Choose the most appropriate answer from the options given below : List-I(Metal) List-II(Application) (A) Cs (I) High temperature thermometer (B) Ga (II) Water repellent sprays (C) B (III) Photoelectri

Which one of the following compounds is inactive towards reaction? [28-Jun-2022-Shift-1]

In the given conversion the compound A is : [29-Jun-2022-Shift-1]

The major product of the following reaction is : [27-Jun-2022-Shift-1]

Match List I with List II. List I List II (A) Benzenesulphonyl chloride (I)Test for primary amines (B) Hoffmann bromamide reaction (II) Anti Saytzeff (C) Carbylamine reaction (III) Hinsberg reagent (D

The correct order of increasing ionic radii is [27-Jun-2022-Shift-2]

Which of the following reactions will yield benzaldehyde as a product? (A)(B)(C)(D) [27-Jun-2022-Shift-1]

If a rocket runs on a fuel and liquid oxygen, the weight of oxygen required and released for every litre of fuel respectively are :(Given : density of the fuel is ) [24-Jun-2022-Shift-1]

Identify the correct statement for the below given transformation. [28-Jul-2022-Shift-1]

The disproportionation of in acidic medium resulted in the formation of two manganese compounds and . If the oxidation state of in is smaller than that of , then the spin-only magnetic moment value of

In a cell, the following reactions take place The standard electrode potential for the spontaneous reaction in the cell is . The value of is ___(Nearest Integer) [25-Jun-2022-Shift-1]

Match List - I with List - II. List I List II (A) (I)Dipole moment (B) (II)Bonding molecular orbital (C) (III)Anti-bonding molecular orbital (D) (IV)Bond orderChoose the correct answer from the option

If the radius of the Bohr's orbit of hydrogen atom is and the radius of Bohr's orbit is . Then : [26-Jun-2022-Shift-1]

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Activated charcoal adsorbs more efficiently than . Reason R: Gases with lower critic

Given below are two statements: One is labelled as Assertion and the other is labelled as Reason Assertion A : Zero orbital overlap is an out of phase overlap. Reason R: It results due to different or

At of are mixed with of . The reaction occurring as above comes to equilibrium under a total pressure of . Analysis of the system shows that of oxygen are present at equilibrium. The equilibrium const

In which of the following half cells, electrochemical reaction is dependent? [30-Jun-2022-Shift-1]

List I (molecule) List II (hybridization ; shape) (A) (I) ; linear (B) (II) ; pyramidal (C) (III) ; distorted octahedral (D) (IV) ; square pyramidal Choose the correct answer from the options given be

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason Assertion A : Thin layer chromatography is an adsorption chromatography.Reason R: A thin layer of sil

dissociates as . 5 moles of are placed in a 200 litre vessel which contains 2 moles of and is maintained at 600 . The equilibrium prẽššưre is . The equilibrium constant for the dissociation of is ____

Given below are two statements. Statement , and are weakly attracted by magnetic field and are magnetized in the same direction as magnetic field. Statement II: and are weakly magnetized in opposite d

Concentrated reacts with lodine to give [28-Jul-2022-Shift-2]

Using the rules for significant figures, the correct answer for the expression will be [29-Jun-2022-Shift-2]

The correct order of melting points of hydrides of group 16 elements is : [26-Jun-2022-Shift-1]

of is mixed with of . The of the mixture is nearest to:(Given: ) [25-Jul-2022-Shift-1]

For a solution of the gases and in water at , the values of Henry's law constant are and bar respectively. In the given graph, the lines marked as ' ' and 's' correspond respectively to : [30-Jun-2022

The equilibrium constant for the reversible reaction is . For , the constant is . and are related as : [30-Jun-2022-Shift-1]

of is mixed with of . The of the mixture is _______. Given: [29-Jul-2022-Shift-2]

The number of atoms in of is . The value of is (Nearest Integer) [25-Jun-2022-Shift-1]

Given below are the oxides: and Number of amphoteric oxides is : [24-Jun-2022-Shift-1]

The number of carbon atoms present in the product is_____ [29-Jun-2022-Shift-1]

The total number of acidic oxides from the following list is [25-Jul-2022-Shift-2]

Among the following structures, which will show the most stable enamine formation? [26-Jun-2022-Shift-1]

The spin-only magnetic moment value of the most basic oxide of vanadium among and is_____ B.M. (Nearest integer) [26-Jun-2022-Shift-1]

A radioactive element has a half life of 200 days. The percentage of original activity remaining after 83 days is_______ (Nearest integer)(Given : antilog , antilog ) [28-Jun-2022-Shift-2]

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Energy of orbital of hydrogen atom is greater than that of orbital of lithium. Reason

Number of electrophilic centres in the given compound is [24-Jun-2022-Shift-1]

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A: Amylose is insoluble in water. Reason R: Amylose is a long linear molecule with more

A mixture of hydrogen and helium is contained in a vessel of capacity at 6 bar and . The mass of helium in the mixture is _______ g. (nearest integer) Given: (Atomic masses of and are and , respective

Total number of relatively more stable isomer(s) possible for octahedral complex will be _______. [28-Jul-2022-Shift-1]

Identify the major product formed in the following sequence of reactions: [28-Jun-2022-Shift-1]

Outermost electronic configurations of four elements are given below : (A) (B) (C) (D) The correct order of first ionization enthalpy for them is : [27-Jul-2022-Shift-2]

Two isomers ' ' and ' ' with molecular formula give different products on oxidation with in acidic medium. Isomer ' on reaction with results in effervescence of a gas and gives ketone. The compound '

Major product B' of the following reaction sequence is : [27-Jul-2022-Shift-2]

The elevation in boiling point for 1 molal solution of non-volatile solute is . The depression in freezing point for 2 molal solution of in the same solvent is . The ratio of and i.e., is . The value

Arrange the following coordination compounds in the increasing order of magnetic moments. (Atomic numbers : )A. B. C. (high spin)D. Choose the correct answer from the options given below : [27-Jun-202

Given below are the quantum numbers for 4 electrons. A. B. C. D. The correct order of increasing energy is [29-Jul-2022-Shift-2]

Number of lone pairs of electrons in the central atom of and , respectively, are : [29-Jul-2022-Shift-1]

of nitrous oxide gas is cooled at a constant pressure of from to causing the compression of the gas from to . The change in internal energy of the process, is ' . The value of ' ' is ______[nearest in

A primary aliphatic amine on reaction with nitrous acid in cold and there after raising temperature of reaction mixture to room temperature , gives a/an [28-Jun-2022-Shift-1]

In the estimation of bromine, of an organic compound gave of silver bromide. The percentage of bromine in the given compound is ____ (nearest integer)(Relative atomic masses of and are and , respectiv

A sugar ' ' dehydrates very slowly under acidic condition to give furfural which on further reaction with resorcinol gives the coloured product after sometime. Sugar ' ' is [27-Jul-2022-Shift-1]

Catalyst A reduces the activation energy for a reaction by at . The ratio of rate constants, is . The value of is_____ [nearest integer][Assume that the pre-exponential factor is same in both the case

Arrange the following in increasing order of reactivity towards nitration A. p-xylene B. bromobenzene C. mesitylene D. nitrobenzene E. benzene Choose the correct answer from the options given below [2

During halogen test, sodium fusion extract is boiled with concentrated to [25-Jun-2022-Shift-2]

Find out the major product for the above reaction. [28-Jul-2022-Shift-2]

Octahedral complexes of copper(II) undergo structural distortion (Jahn-Teller). Which one of the given copper (II) complexes will show the maximum structural distortion? (en - ethylenediamine; [29-Jul

Amongst and , the number of species with two lone pairs of electrons is_____ [26-Jun-2022-Shift-2]

Given below are two statements :Statement I : In 'Lassaigne's Test', when both nitrogen and sulphur are present in an organic compound, sodium thiocyanate is formed.Statement II : If both nitrogen and

Two statements are given below:Statement I : The melting point of monocarboxylic acid with even number of carbon atoms is higher than that of with odd number of carbon atoms acid immediately below and

Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be [24-Jun-2022-Shift-2]

In neutral or alkaline solution, oxidises thiosulphate to : [27-Jul-2022-Shift-2]

Consider the above reaction sequence, the Product ' ' is : [29-Jul-2022-Shift-1]

The complete combustion of of an organic compound containing ' ', ' ' and ' ' gives of and of . The percentage of oxygen composition in the organic compound is_______ (nearest integer) [28-Jun-2022-Sh

Nitrogen gas is obtained by thermal decomposition of [28-Jun-2022-Shift-1]

If the work function of a metal is , the maximum wavelength of the photon required to remove a photoelectron from the metal is___ nm. (Nearest integer)[Given : , and ] [28-Jun-2022-Shift-1]

Which one of the following techniques is not used to spot components of a mixture separated on thin layer chromatographic plate? [28-Jun-2022-Shift-1]

Isobutyraldehyde on reaction with formaldehyde and gives compound ' '. Compound ' ' reacts with and yields compound ' ', which on hydrolysis gives a stable compound ' '. The compound ' ' is [28-Jun-20

The conversion of propan-1-ol to -butylamine involves the sequential addition of reagents. The correct sequential order of reagents is [24-Jun-2022-Shift-2]

A sealed flask with a capacity of contains of propane gas. The flask is so weak that it will burst if the pressure becomes . The minimum temperature at which the flask will burst is__________ . [Neare

Which of the following is the correct plot for the probability density ( ) as a function of distance ' ' of the electron from the nucleus for orbital? [29-Jun-2022-Shift-2]

Acidified potassium permanganate solution oxidises oxalic acid. The spin-only magnetic moment of the manganese product formed from the above reaction is ______B.M. (Nearest integer) [27-Jun-2022-Shift

In the following reactionThe yield for reaction I is and that of reaction II is . The overall yield of the complete reaction is _______%. [nearest integer] [27-Jul-2022-Shift-1]

Borazine, also known as inorganic benzene, can be prepared by the reaction of 3-equivalents of "X" with 6-equivalents of "Y". "X" and "Y", respectively are : [26-Jul-2022-Shift-1]

An evacuated glass vessel weighs when empty, when filled with a liquid of density and when filled with an ideal gas at atm at . The molar mass of the gas in is :(Given : ) [26-Jun-2022-Shift-1]

56.0 of nitrogen gas is mixed with excess hydrogen gas and it is found that of ammonia gas is produced. The volume of unused nitrogen gas is found to be______ L. [25-Jul-2022-Shift-2]

In liquation process used for tin , the metal [29-Jul-2022-Shift-2]

(a) ,(b) ,(c) and(d) .Number of complex(es) which will exist in cis-trans form is/are_______ [28-Jun-2022-Shift-2]

Which among the following is the strongest Bronsted base? [29-Jul-2022-Shift-1]

The cell potential for the given cell at is . The of the acidic solution is found to be 3 , whereas the concentration of is . The value of is_____(Given : and ) [29-Jun-2022-Shift-2]

Given below are two statements :Statement I : is square planar and diamagnetic complex, with dsp hybridization for but is tetrahedral, paramagnetic and with -hybridication for .Statement II : and both

The major product in the following reaction [26-Jun-2022-Shift-2]

In Friedel-Crafts alkylation of aniline, one gets [29-Jun-2022-Shift-2]

White phosphorus reacts with thionyl chloride to give [28-Jul-2022-Shift-2]

For a given chemical reaction Concentration of changes from to in 10 seconds. Rate of appearance of is times the rate of disappearance of which is twice the rate of disappearance . The rate of appeara

on reaction with excess of water results into acidic mixture 16 moles of is required for the complete neutralisation of the resultant acidic mixture. The number of moles of used is: [25-Jul-2022-Shift

The gas produced by treating an aqueous solution of ammonium chloride with sodium nitrite is [27-Jun-2022-Shift-2]

The quantity of electricity in Faraday needed to reduce of to is ______ [28-Jun-2022-Shift-1]

Elevation in boiling point for molal solution of glucose in water is . The depression in freezing point for molal solution of glucose in water is . The ratio of molal elevation constant to molal depre

[29-Jun-2022-Shift-1] Consider the above reactions, the product A and product B respectively are

For the reaction , the values of frequency factor and activation energy are and respectively. If the reaction is of first order, the temperature at which the rate constant is is ____ (Given : In ) [30

During the qualitative analysis of salt with cation , addition of a reagent to alkaline solution of the salt gives a bright red precipitate. The reagent and the cation present respectively are : [24-J

The spin-only magnetic moment value of the compound with strongest oxidizing ability among and is _______ B.M. [nearest integer] [26-Jul-2022-Shift-2]

solution of -glucose in water contains of carbon by weight. The molality of the solution is nearest to (Given: Atomic Weights are, ) [27-Jul-2022-Shift-1]

The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is . The value of is___ (Nearest Integer).(Given : Energy of the electron in the first shel

Consider the following set of quantum numbers. n 1 A. 3 3 3 B. 3 2 2 C. 2 1 +1 D. 2 2 +2 The number of correct sets of quantum numbers is __________. [27-Jun-2022-Shift-2]

The energy of one mole of photons of radiation of wavelength is(Given : h ) [24-Jun-2022-Shift-2]

Blister copper is produced by reaction of copper oxide with copper sulphide. When of and of are used for reaction, the massof copper produced is _____g .(nearest integer)(Atomic mass of ) [30-Jun-2022

The solubility of will be maximum in which of the following? [29-Jun-2022-Shift-1]

In the given reaction, the number of hybridised carbon(s) in compound ' ' is __ [29-Jun-2022-Shift-2]

Which of the following is most stable? [27-Jun-2022-Shift-2]

coal is burnt in a bomb calorimeter in excess of oxygen at and pressure. The temperature of the calorimeter rises from to . The enthalpy change during the combustion of coal is . The value of is _____

Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it? [25-Jun-2022-Shift-1]

Oxidation of toluene to benzaldehyde can be easily carried out with which of the following reagents? [26-Jun-2022-Shift-2]

of solute A was dissolved in of ethanol and freezing point of the solution was found to be . The molar mass of solute is ______. [Given : Freezing point of ethanol is . Density of ethanol is . Freezin

of is reacted with of solution, the molarity of the resulting product in the solution is _______ millimolar. (Nearest integer) [28-Jul-2022-Shift-2]

The difference in oxidation state of chromium in chromate and dichromate salts is ____ [24-Jun-2022-Shift-1]

The number of paramagnetic species among the following is _______. [28-Jul-2022-Shift-1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : The ionic radii of and are same.Reason (R): Both and are isoelectronic species

A solution containing of a solute dissolved in of water boils at . The molar mass of the solute is _____ . [nearest integer] (Given : and boiling point of water ) [27-Jun-2022-Shift-2]

Compound 'A' undergoes following sequence of reactions to give compound ' '. The correct structure and chirality of compound ' ' is [where Et is ] [29-Jul-2022-Shift-2]

The number of molecule(s) or ion(s) from the following having non-planar structure is _________. [27-Jul-2022-Shift-2]

Aqueous solution of which of the following boron compounds will be strongly basic in nature? [29-Jun-2022-Shift-2]

Resistance of a conductivity cell (cell constant ) filled with solution of is (labelled as solution 1). When the same cell is filled with solution of , the resistance is (labelled as solution 2). The

of a substance upon dissociation reaction, yields of hydrogen, of oxygen and of carbon. Given that the atomic masses of and are 1, 16 and 12, respectively. The data agrees with how many formulae of th

Kjeldahl's method was used for the estimation of nitrogen in an organic compound. The ammonia evolved from of the compound neutralised of solution. The percentage of nitrogen in the compound is______

Spin only magnetic moment of is _______B.M.(Nearest integer) [30-Jun-2022-Shift-1]

A box contains of liquid water in equilibrium with water vapour at . The equilibrium vapour pressure of water at 27 is Torr. When the volume of the box is increased, some of the liquid water evaporate

In an experiment, moles of was placed in a one-litre flask and the concentration of after equilibrium established, was found to be . The equilibrium constant at is______ [27-Jun-2022-Shift-1]

Match List - I with List - II. List I (Processes / Reactions) List II (Catalyst) (A) (I) (B) (II) (C) (III) (D) Vegetable oil(I) Vegetable ghee(s) (IV) Choose the correct answer from the options given

In the given reaction, The number of electrons present in the product ' ' is [29-Jun-2022-Shift-2]

The Hinsberg reagent is [29-Jul-2022-Shift-2]

The number of oxygens present in a nucleotide formed from a base, that is present only in RNA is___ [26-Jun-2022-Shift-1]

Consider the following sulphur based oxoacids. and . Amongst these oxoacids, the number of those with peroxo bond is _______. [29-Jul-2022-Shift-2]

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.Assertion A : A mixture contains benzoic acid and napthalene. The pure benzoic acid can be separat

The standard entropy change for the reaction is at .[Given : The standard enthalpy change for the reaction is ].The temperature in at which the reaction attains equilibrium is____(Nearest Integer) [25

Arrange the following in increasing order of their covalent character. A. B. C. D. Choose the correct answer from the options given below. [26-Jul-2022-Shift-2]

Arrange the following in decreasing acidic strength: [25-Jul-2022-Shift-2]

The correct stability order of the following diazonium salt is [26-Jul-2022-Shift-1]

The spin-only magnetic moment value of ion (in gaseous state) from the pairs and that has negative standard electrode potential, is _____ B.M. [Nearest integer] [25-Jul-2022-Shift-2]

Compound 'P' on nitration with dil. yields two isomers and . These isomers can be separated by steam distillation. Isomers (A) and (B) show the intramolecular and intermolecular hydrogen bonding respe

At , the half life for the decomposition of a sample of a gaseous compound initially at was 340 s. When the pressure was , the half life was found to be . The order of the reaction is _____. [integer

Match List - I with List - II. List - I List - II (l)Spiro compound (II)Aromatic compound (III)Non-planar Heterocyclic compound (IV)Bicyclo compoundChoose the correct answer from the options given bel

Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale separation? [25-Jun-2022-Shift-1]

Match List-I with List-II : List I (Compound) List II (Shape) (A) (I)bent (B) (II) square pyramidal (C) (III) trigonal bipyramidal (D) (IV) octahedral Choose the correct answer from the options given

Which one of the following is a water soluble vitamin, that is not excreted easily? [26-Jun-2022-Shift-2]

During the denaturation of proteins, which of these structures will remain intact? [25-Jul-2022-Shift-1]

Choose the correct answer from the options given below: List - I List - II (A) Spontaneous process (I) (B) Process with (II) (C) (III) Isothermal and isobaric process (D) Exothermic Process (IV) [Bond

The depression in freezing point observed for a formic acid solution of concentration is . Density of formic acid is . The Van't Hoff factor of the formic acid solution is nearly : (Given for water )

Assuming of trace radioactive element with a half life of 30 years is absorbed by a growing tree. The amount of remaining in the tree after 100 years is _______ . [Given : [29-Jul-2022-Shift-2]

The number of non-ionisable protons present in the product B obtained from the following reactions is ________. [26-Jul-2022-Shift-2]

Match List - I with List - II. List I List II (A) (I)Gatterman Koch reaction (B) (II)Etard reaction (C) (III)Stephen reaction (D) (IV)Rosenmund reactionChoose the correct answer from the options given

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.Assertion A : The first ionization enthalpy for oxygen is lower than that of nitrogen.Reason : The

The equation is followed for the decomposition of compound . The activation energy for the reaction is . [nearest integer](Given : ) [29-Jun-2022-Shift-2]

Decarboxylation of all six possible forms of diaminobenzoic acids yields three products and . Three acids give a product ' ', two acids gives a product ' ' and one acid give a product ' '. The melting

CNG is an important transportation fuel. When is mixed with oxygen in vehicles, it leads to the formation of and and produces large quantity of heat during this combustion, then the amount of carbon d

Correct structure of -methylcyclohexane carbaldehyde is [29-Jul-2022-Shift-2]

Among the given complexes, number of paramagnetic complexes is____ [28-Jun-2022-Shift-2]

of completely vapourises at and pressure and the enthalpy change in the process is mol . The enthalpy change for the vapourisation of of under the same conditions is ____ [29-Jun-2022-Shift-1]

A gaseous mixture of two substances and , under a total pressure of is in equilibrium with an ideal liquid solution. The mole fraction of substance is in the vapour phase and in the liquid phase. The

The reaction between and is first order with respect to and zero order with respect to . Experiment I । III IV Examine the data of table and calculate ratio of numerical values of and (Nearest Integer

is well known, but is not. because, [24-Jun-2022-Shift-2]

Which of the given reactions is not an example of disproportionation reaction? [26-Jul-2022-Shift-1]

Which one of the lanthanoids given below is the most stable in divalent form? [28-Jun-2022-Shift-1]

When enthanol is heated with conc. , a gas is produced. The compound formed, when this gas is treated with cold dilute aqueous solution of Baeyer's reagent, is [29-Jul-2022-Shift-2]

The correct order of reduction potentials of the following pairs isA. B. C. D. E. Choose the correct answer from the options given below. [25-Jun-2022-Shift-2]

of protein containing only glycine is dissolved in water to make of solution. The osmotic pressure of this solution at is found to be bar. The total number of glycine units present in the protein is__

Identify the major products and for the below given reaction sequence. [28-Jul-2022-Shift-1]

At , the half life for the decomposition of is and is independent of the initial concentration of . The time required for of the to decompose is Given: [26-Jul-2022-Shift-2]

The correct order of electron gain enthalpies of , Te and is [25-Jun-2022-Shift-2]

Choose the correct stability order of group 13 elements in their oxidation state. [26-Jun-2022-Shift-1]

The rate constant for a first order reaction is given by the following equation: The activation energy for the reaction is given by ____ . (In nearest integer) (Given : ) [27-Jun-2022-Shift-1]

The sum of number of lone pairs of electrons present on the central atoms of and , is [25-Jul-2022-Shift-2]

Match List - I with Match List - II. List I List II (A)Glucose + HI (I)Gluconic acid (B)Glucose + water (II)Glucose pentacetate (C)Glucose + acetic anhydride (III)Saccharic acid (D)Glucose (IV)HexaneC

The final product ' ' in the following reaction sequence [26-Jun-2022-Shift-2]

The major product formed in the following reaction, is [25-Jun-2022-Shift-2]

Two solutions and are prepared by dissolving of non-volatile solutes and , respectively in 1 of water. The ratio of depression in freezing points for and is found to be . The ratio of molar masses of

Among the following the number of state variables is _______. Internal energy (U) Volume (V) Heat (q) Enthalpy [28-Jul-2022-Shift-2]

A student needs to prepare a buffer solution of propanoic acid and its sodium salt with pH 4. The ratio of required to make buffer isGiven : [28-Jun-2022-Shift-2]

The enthalpy of combustion of propane, graphite and dihydrogen at are and respectively. The magnitude ofenthalpy of formation of propane is (Nearest integer) [25-Jul-2022-Shift-1]

Given two statements below : Statement I : In molecule the covalent radius is double of the atomic radius of chlorine. Statement II : Radius of anionic species is always greater than their parent atom

Among the given oxides of nitrogen; and , the number of compound/(s) having bond is : [28-Jun-2022-Shift-2]

Class XII students were asked to prepare one litre of buffer solution of by their Chemistry teacher: The amount of ammonium chloride to be dissolved by the student in ammonia solution to make one litr

Given below are two statements: one is labelled as Assertion and the other is labelled as Reason Assertion A : Aniline on nitration yields ortho, meta & para nitro derivatives of aniline.Reason R : Ni

aqueous solution of contains of this solution is diluted with deionized water to give solution (A). In solution (A), of are added. Total mols of in the final solution is ____ [25-Jun-2022-Shift-1]

For a first order reaction, the time required for completion of reaction is ' ' times the half life of the reaction. The value of ' ' is(Given : and ) [24-Jun-2022-Shift-2]

Choose the correct answer from the options given below : List-I (Anion) List-II (A) I. Colourless gas which turns lead acetate paper black. (B) II. Colourless gas which turns acidified potassium dichr

Choose the correct answer from the options given below: List-I (Oxide) List-II (Nature) (A) (I) Amphoteric (B) (II) Basic (C) (III) Neutral (D) (IV) Acidic [28-Jun-2022-Shift-2]

The normality of in the solution obtained on mixing of with of ________ is . (Nearest Integer) [27-Jul-2022-Shift-2]

In the given reaction, if one mole of each of and with of gives compound - (Given : Atomic masses of and are 10, 20 and , respectively.) The yield of is _______g. (Nearest integer) [28-Jul-2022-Shift-

The spin-only magnetic moment value of an octahedral complex among and , which upon reaction with excess of gives 2 moles of is ____B.M. (Nearest integer) [26-Jun-2022-Shift-1]

On complete combustion of of an organic compound containing and of and of was produced. The % composition of oxygen in the compound is _______. [28-Jul-2022-Shift-1]

Spin only magnetic moment of is _____ B.M. (round off to the closest integer) [29-Jun-2022-Shift-2]

Production of iron in blast furnace follows the following equation when of and of are allowed to react then the amount of iron (in ) produced is: [29-Jun-2022-Shift-1]

Which among the following represent reagent 'A'? [29-Jul-2022-Shift-1]

A company dissolves ' ' amount of at in 1 litre of water to prepare soda water. _______ (nearest integer)(Given : partial pressure of at bar.Henry's law constant for at .Atomic mass of and is 1,12 , a

Which of the following compounds is not aromatic? [26-Jul-2022-Shift-1]

The number of statements correct from the following for Copper (at. no. 29) is/are____(A) complexes are always paramagnetic.(B) complexes are generally colourless(C) is easily oxidized(D) In Fehling s

The amount of charge in (Faraday) required to obtain one mole of iron from is ______. (Nearest Integer) [26-Jul-2022-Shift-1]

The correct order of nucleophilicity is [26-Jun-2022-Shift-2]

of gas is adsorbed on of platinum powder at and pressure. The volume of the gas adsorbed per gram of the adsorbent is ___ [26-Jun-2022-Shift-1]

Element "E" belongs to the period 4 and group 16 of the periodic table. The valence shell electron configuration of the element, which is just above "E" in the group is [28-Jun-2022-Shift-1]

The dark purple colour of disappears in the titration with oxalic acid in acidic medium. The overall change in the oxidation number of manganese in the reaction is : [26-Jul-2022-Shift-1]

The for bismuth sulphide is . The solubility of in at is [25-Jun-2022-Shift-2]

The correct order of increasing intermolecular hydrogen bond strength is [27-Jun-2022-Shift-2]

Match List - I with List - II. List I (Mixture) List II (Purification Process) (A)Chloroform & Aniline (I)Steam distillation (B)Benzoic acid & Napthalene (II)Sublimation (C)Water & Aniline (III)Distil

At , a sample of of gas A occupies the same volume as of hydrogen at at the same pressure. The molar mass of gas is ______ . (nearest integer) Assume that the behaviour of gases as ideal.(Given : The

An organic compound with sulfur is heated in a Carius tube. The amount of this compound which will form of barium sulphate is ______ .(Given molar mass of barium sulphate ) (Nearest integer). [30-Jun-

Number of complexes which will exhibit synergic bonding amongst, and is___ [28-Jun-2022-Shift-1]

Total number of isomers (including stereoisomers) obtained on monochlorination of methylcyclohexane is _________. [26-Jul-2022-Shift-2]

of acetic acid was contaminated with ascorbic acid to lower down its freezing point by . The value of is _______. (Nearest integer) [Given ; molar mass of ascorbic acid [28-Jul-2022-Shift-1]

Let denote the greatest integer less than or equal to . Then the value of the integral is equal to [25-Jul-2022-Shift-2]

For , let and . Then the number of elements in the set is : [25-Jul-2022-Shift-1]

is equal to [25-Jul-2022-Shift-2]

A class contains b boys and g girls. If the number of ways of selecting 3 boys and 2 girls from the class is 168 , then is equal to ________. [28-Jul-2022-Shift-2]

Let . Then [27-Jul-2022-Shift-1]

If the plane passes through the intersection of two mutually perpendicular planes and and intercepts a unit length on positive -axis, then the intercept made by the plane on the -axis is [27-Jul-2022-

Let and be two real polynomials of degree 2 and 1 respectively. If and , then the value of is_____ [29-Jun-2022-Shift-2]

Let be the solution of the differential equation , with . Then, the point for the curve is : [25-Jun-2022-Shift-1]

Let a set , where for . Define the relation from to by if and only if . Then, is : [29-Jun-2022-Shift-1]

Sum of squares of modulus of all the complex numbers satisfying is equal to_____ [28-Jun-2022-Shift-2]

The plane passing through the line and perpendicular to the plane is . If is the acute angle between the line and the -axis, then is equal to ________. [26-Jul-2022-Shift-2]

Let be the set of all passwords which are six to eight characters long, where each character is either an alphabet from or a number from with the repetition of characters allowed. If the number of pas

Let . Define as Let be a function such that Then is equal to [27-Jun-2022-Shift-2]

Let and be two functions defined by and . Then, for which of the following range of , the inequality holds ? [25-Jun-2022-Shift-1]

Let and . Then on [28-Jun-2022-Shift-2]

A biased die is marked with numbers on its faces and the probability of getting a face with mark is . If the die is thrown thrice, then the probability, that the sum of the numbers obtained is 48 , is

Let be in geometric progression with and the common ratio . A new data is constructed replacing each by . If is the mean of new data, then the greatest integer less than or equal to is ________. [28-J

Let be a root of the equation . Then, the value of is equal to : [29-Jun-2022-Shift-2]

Let a be an integer such that exists, where [t] is greatest integer . Then a is equal to : [27-Jun-2022-Shift-1]

Let be a matrix of order and . Then is equal to [28-Jun-2022-Shift-1]

The area enclosed by the curves and , above the line is: [28-Jul-2022-Shift-2]

Bag A contains 2 white, 1 black and 3 red balls and bag B contains 3 black, 2 red and n white balls. One bag is chosen at random and 2 balls drawn from it at random, are found to be 1 red and 1 black.

Let represent the principal argument of the complex number . Then, and intersect [29-Jun-2022-Shift-2]

The domain of the function is: [29-Jul-2022-Shift-2]

The sum and product of the mean and variance of a binomial distribution are and 1350 respectively. Then the number of trials in the binomial distribution is _______. [29-Jul-2022-Shift-2]

Let the function be continuous at . Then is equal to [29-Jul-2022-Shift-2]

Let and be the number of points on the curve , where the tangents to the curve are parallel to -axis and -axis, respectively. Then the value of equals ________. [27-Jul-2022-Shift-1]

Let be the plane containing the straight line and perpendicular to the plane containing the straight lines and . If is the distance of from the point , then is equal to : [25-Jul-2022-Shift-1]

The value of at is [26-Jul-2022-Shift-2]

Let be a continuous function such that . If , then is equal to: [26-Jul-2022-Shift-1]

Let , be the solution of the differential equation , with . If , then the value of is equal to____ [29-Jun-2022-Shift-2]

If , then is equal to: [25-Jul-2022-Shift-1]

The total number of four digit numbers such that each of first three digits is divisible by the last digit, is equal to____ [29-Jun-2022-Shift-2]

Let be the set of all , for which the complex number is purely imaginary and is purely real. Let . Then is equal to : [27-Jul-2022-Shift-2]

The area of the region enclosed between the parabolas and 3 is [25-Jun-2022-Shift-2]

If , then is equal to: [26-Jun-2022-Shift-2]

The general solution of the differential equation is: [25-Jul-2022-Shift-1]

Let and be two relations defined on by and Then, [27-Jul-2022-Shift-1]

The integral , where [. ] denotes the greatest integer function, is equal to [27-Jun-2022-Shift-2]

A random variable has the following probability distribution: X 0 1 2 3 4 P(X) k 2k 4k 6k 8k The value of is equal to: [24-Jun-2022-Shift-2]

Let be a twice differentiable function on . If and , then is equal to ___ [25-Jul-2022-Shift-2]

The sum of absolute maximum and absolute minimum values of the function in the interval is : [24-Jun-2022-Shift-1]

If , then at is equal to____ [27-Jun-2022-Shift-2]

Let be a random variable having binomial distribution . If , then the sum of the mean and the variance of is : [27-Jun-2022-Shift-1]

For , if , then [29-Jul-2022-Shift-2]

Let a line with direction ratios be perpendicular to the lines with direction ratios and . If the point of intersection of the line and the plane is , then is equal to _______. [29-Jul-2022-Shift-1]

If for , the function is continuous at , then : [27-Jul-2022-Shift-2]

If the mean deviation about the mean of the numbers , , where is odd, is , then is equal to___ [25-Jun-2022-Shift-2]

The probability that a randomly chosen matrix with all the entries from the set of first 10 primes, is singular, is equal to : [29-Jun-2022-Shift-1]

Let and be the vertices of the rhombus . If the direction ratios of the diagonal are , where both and are integers of minimum absolute values, then is equal to _______. [28-Jul-2022-Shift-1]

Let and . Then, for and , the least value of is : [28-Jul-2022-Shift-1]

The probability that a relation from to is both symmetric and transitive, is equal to [29-Jun-2022-Shift-2]

Let . If , then the sum of all elements of the matrix is [29-Jun-2022-Shift-2]

The value of is equal to : [25-Jun-2022-Shift-2]

The number of real solutions of the equation is_____ [28-Jun-2022-Shift-1]

The minimum value of the sum of the squares of the roots of is: [26-Jul-2022-Shift-2]

where [t] denotes greatest integer less than or equal to , is equal to: [29-Jun-2022-Shift-1]

Let the slope of the tangent to a curve at be given by . If the curve passes through the point , then the value of is equal to: [28-Jun-2022-Shift-2]

The function , is : [28-Jul-2022-Shift-2]

If are the roots of the equation , then is equal to : [25-Jul-2022-Shift-1]

If , then [25-Jun-2022-Shift-2]

The sum of the absolute maximum and absolute minimum values of the function in the interval is : [28-Jul-2022-Shift-2]

Let be such that and . If , then is equal to : [28-Jul-2022-Shift-2]

A bag contains 4 white and 6 black balls. Three balls are drawn at random from the bag. Let be the number of white balls, among the drawn balls. If is the variance of , then is equal to_______. [28-Ju

The number of bijective functions , such that , is [25-Jul-2022-Shift-2]

Let and be relations on the set such that is a prime and is an integer and is a prime and or 1 Then, the number of elements in is___ [28-Jun-2022-Shift-1]

Let be a square matrix of order 3 such that , for all . Then, the matrix is equal to : [29-Jun-2022-Shift-1]

Suppose a class has 7 students. The average marks of these students in the mathematics examination is 62 , and their variance is 20. A student fails in the examination if he/she gets less than 50 mark

If the system of linear equations. has infinitely many solutions, then the distance of the point from the plane is : [26-Jul-2022-Shift-1]

A water tank has the shape of a right circular cone with axis vertical and vertex downwards. Its semivertical angle is . Water is poured in it at a constant rate of 6 cubic meter per hour. The rate (i

Let , where are constants, represent a circle passing through the point . Then the shortest distance of the point from this circle is : [27-Jun-2022-Shift-1]

The area bounded by the curve and the line is : [26-Jun-2022-Shift-1]

If be the solution curve of the differential equation with , then is equal to: [28-Jul-2022-Shift-1]

Let the area enclosed by the -axis, and the tangent and normal drawn to the curve at the point be . Then is equal to [25-Jul-2022-Shift-2]

If , then is equal to ________. [26-Jul-2022-Shift-1]

Let be three mutually exclusive events such that and . If the maximum and minimum values of are and , then is equal to [26-Jul-2022-Shift-1]

The mean and variance of 10 observations were calculated as 15 and 15 respectively by a student who took by mistake 25 instead of 15 for one observation. Then, the correct standard deviation is ______

The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observation was taken such that the sum of correct and incorrect observations is 70 . If t

The odd natural number , such that the area of the region bounded by is , is equal to: [26-Jul-2022-Shift-1]

If the minimum value of , is 14 , then the value of is equal to: [28-Jul-2022-Shift-1]

is equal to [26-Jul-2022-Shift-2]

The value of the integral is equal to [24-Jun-2022-Shift-2]

Let and . Let be the value of which satisfies and be the value of which satisfies . Then is equal to _______. [28-Jul-2022-Shift-1]

In an examination, there are 10 true-false type questions. Out of 10 , a student can guess the answer of 4 questions correctly with probability and the remaining 6 questions correctly with probability

Let be a real valued continuous function on and Then, which of the following points lies on the curve ? [29-Jun-2022-Shift-2]

The value of is equal to: [29-Jun-2022-Shift-2]

Let Then : [28-Jul-2022-Shift-2]

Let be the solution of the differential equation , with . Then is equal to [28-Jun-2022-Shift-1]

The number of functions , from the set to the set such that , for every , is _________. [27-Jul-2022-Shift-2]

The set of all values of for which is the interval : [24-Jun-2022-Shift-1]

Let the system of linear equations be inconsistent. Then is equal to: [27-Jun-2022-Shift-1]

Let be a line which is normal to the curve at a point on the curve. If the point lies on the line I and is origin, then the area of the triangle OPQ is equal to___ [28-Jun-2022-Shift-1]

If for some , not all have same sign, one of the roots of the equation is also a root of the equation , then is equal to ________. [26-Jul-2022-Shift-1]

The area of the region bounded by and is equal to: [26-Jun-2022-Shift-2]

The number of distinct real roots of the equation is [24-Jun-2022-Shift-2]

Let where denotes the greatest integer . Then is equal to ________. [27-Jul-2022-Shift-2]

Let and be two complex numbers such that and . Then [25-Jun-2022-Shift-2]

Let and . Then, is equal to : [30-Jun-2022-Shift-1]

The area of the region is [28-Jun-2022-Shift-1]

Suppose be the solution curve to the differential equation such that is finite. If and are respectively the - and -intercepts of the tangent to the curve at , then the value of is equal to _________.

The shortest distance between the lines and is [25-Jul-2022-Shift-2]

If , then is equal to____ [26-Jun-2022-Shift-2]

Let be the solution curve of the differential equation , which passes through the point . Then is equal to: [29-Jul-2022-Shift-2]

Let be a binomially distributed random variable with mean 4 and variance . Then, is equal to [26-Jul-2022-Shift-2]

Let and be three positive real numbers. Let and . be such that for all . If be in arithmetic progression with mean zero, then the value of is equal to: [28-Jul-2022-Shift-1]

For any real number , let denote the largest integer less than equal to . Let be a real valued function defined on the interval by Then the value of is : [25-Jul-2022-Shift-1]

Let be a matrix with and . Then the sum of the diagonal elements of can be : [26-Jul-2022-Shift-1]

If the system of equations has infinitely many solutions, then the ordered pair is equal to : [26-Jun-2022-Shift-2]

The length of the perpendicular from the point on the line passing through and parallel to the line is : [26-Jul-2022-Shift-1]

Let be defined as . If is a function such that , then is equal to [25-Jun-2022-Shift-1]

Let and Then at is equal to: [28-Jul-2022-Shift-2]

The area of the smaller region enclosed by the curves and is equal to [27-Jul-2022-Shift-1]

If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is , then is equal to___ [26-Jun-2022-Shift-2]

Let be a function such that for natural numbers and . If , then the value of for which holds, is : [25-Jun-2022-Shift-1]

Let be a quadratic polynomial with leading coefficient 1 such that , and . If the equations and have a common real root, then is equal to___ [25-Jul-2022-Shift-2]

If the foot of the perpendicular from the point on the plane , is , then the distance of the point from the plane , measured parallel to a line with direction ratios , is equal to : [29-Jul-2022-Shift

Water is being filled at the rate of in a right circular conical vessel (vertex downwards) of height and diameter . When the height of the water level is , the rate (in ) at which the wet conical surf

The number of 5-digit natural numbers, such that the product of their digits is 36 , is _______. [26-Jul-2022-Shift-1]

Let and . Then which one of the following statements is NOT true? [25-Jun-2022-Shift-2]

The sum of all the real roots of the equation is [24-Jun-2022-Shift-2]

Let be the foot of perpendicular drawn from the point to the plane . If is a point on the plane such that , then the area of is equal to: [29-Jul-2022-Shift-2]

Let and Then the number of elements in is : [28-Jul-2022-Shift-2]

Five numbers are randomly selected from the numbers and are arranged in the increasing order . The probability that and is : [27-Jun-2022-Shift-1]

The area enclosed by and that lies outside the triangle formed by , is equal to: [29-Jun-2022-Shift-1]

The distance of the point from the plane along the line is equal to: [30-Jun-2022-Shift-1]

The mean and standard deviation of 40 observations are 30 and 5 respectively. It was noticed that two of these observations 12 and 10 were wrongly recorded. If is the standard deviation of the data af

There are ten boys and five girls in a class. Then the number of ways of forming a group consisting of three boys and three girls, if both and together should not be the members of a group, is___ [26-

Let . Then is equal to ________. [27-Jul-2022-Shift-1]

Let be functions defined by , where is the maximum of the powers of those primes such that divides , and , for all . Then, the function is [27-Jul-2022-Shift-1]

Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation is equal to : [28-Jul-2022-Shift-1]

The ordered pair , for which the system of linear equations has no solution, is : [26-Jun-2022-Shift-1]

Let where . Then, the number of elements in the set is____ [28-Jun-2022-Shift-2]

Let be the distance between the foot of perpendiculars of the points and on the plane . Then is equal to___ [29-Jun-2022-Shift-1]

Let and . Then the number of elements in the set and is___ [25-Jun-2022-Shift-2]

Let . If , then is equal to ________. [27-Jul-2022-Shift-2]

Let , represents a circle with center . Then, is equal to : [30-Jun-2022-Shift-1]

Let be the set of all integral values of for which the sum of squares of two real roots of the quadratic equation is minimum. Then : [30-Jun-2022-Shift-1]

The slope of normal at any point on the curve is given by . If the curve passes through the point , then e. is equal to [24-Jun-2022-Shift-2]

If the tangent to the curve at the point is also tangent to the curve at the point , then is equal to ________. [29-Jul-2022-Shift-2]

If attains maximum value at the point on the line passing through the points and , then also lies on the line : [30-Jun-2022-Shift-1]

The number of elements in the set and is___ [28-Jun-2022-Shift-1]

The mean and variance of the data , where , are 6 and respectively. Then is equal to [27-Jun-2022-Shift-2]

A hostel has 100 students. On a certain day (consider it day zero) it was found that two students are infected with some virus. Assume that the rate at which the virus spreads is directly proportional

Let a biased coin be tossed 5 times. If the probability of getting 4 heads is equal to the probability of getting 5 heads, then the probability of getting atmost two heads is : [26-Jun-2022-Shift-1]

The total number of 5-digit numbers, formed by using the digits , 7 without repetition, which are multiple of 6 , is [28-Jun-2022-Shift-1]

Let . If , then the value of is equal to____ [30-Jun-2022-Shift-1]

The number of one-one functions such that is [24-Jun-2022-Shift-1]

Let be two real valued functions defined as and where and are real constants. If (gof) is differentiable at , then (gof) is equal to : [26-Jun-2022-Shift-1]

If the maximum value of , for which the function is non-decreasing in , is , then is equal to [26-Jul-2022-Shift-2]

Let the foot of the perpendicular from the point on the line be . Then the distance of from the plane is [27-Jun-2022-Shift-2]

Let , where is a non-zero real number an . If , then the positive integral value of is____ [29-Jun-2022-Shift-2]

If the mean deviation about median for the numbers , arranged in the ascending order, is 6 then the median is [25-Jul-2022-Shift-2]

The value of is equal to: [25-Jun-2022-Shift-1]

If the system of equations has infinitely many solutions, then is equal to [29-Jul-2022-Shift-2]

The sum of the absolute minimum and the absolute maximum values of thefunction in the interval is : [26-Jun-2022-Shift-1]

Let the solution curve of the differential equation pass through the point . Then, is equal to : [29-Jul-2022-Shift-1]

Let be the roots of the quadratic equation . If , then is equal to [29-Jul-2022-Shift-2]

The letters of the word 'MANKIND' are written in all possible orders and arranged in serial order as in an English dictionary. Then the serial number of the word 'MANKIND' is [25-Jul-2022-Shift-1]

The probability, that in a randomly selected 3-digit number at least two digits are odd, is [28-Jun-2022-Shift-1]

Let and . If , then the sum of all the elements in the set is equal to _______. [29-Jul-2022-Shift-1]

Let . Then : [30-Jun-2022-Shift-1]

If the solution curve of the differential equation passes through the point , then the abscissa of the point on the curve whose ordinate is , is [27-Jun-2022-Shift-2]

If , then [24-Jun-2022-Shift-2]

Let . If and , for all , then the value of is equal to____ [29-Jun-2022-Shift-1]

For if the minimum value of is , then a value Question: of is [25-Jul-2022-Shift-2]

Let . If for all , then is equal to : [26-Jun-2022-Shift-1]

The area of the region is equal to [29-Jul-2022-Shift-1]

Let the plane pass through and is perpendicular to the planes and . If are integers and , then the value of is equal to : [28-Jun-2022-Shift-2]

The area bounded by the curves and is [26-Jul-2022-Shift-2]

A six faced die is biased such that a prime number a composite number . Let be a random variable that counts the number of times one gets a perfect square on some throws of this die. If the die is thr

If the system of linear equations where, , has no solution, then [28-Jun-2022-Shift-1]

If , then the value of is equal to____ [28-Jun-2022-Shift-2]

The domain of the function [24-Jun-2022-Shift-1]

The area of the region enclosed by and , is equal to : [27-Jul-2022-Shift-2]

For , consider a relation on given by is a multiple of 7 . The relation is an equivalence relation if and only if : [28-Jul-2022-Shift-1]

The value of the integral is equal to: [27-Jun-2022-Shift-1]

The probability distribution of X is : X 0 1 2 3 P(X) For the minimum possible value of d, sixty times the mean of X is equal to _______________. [30-Jun-2022-Shift-1]

Let the locus of the centre , of the circle which touches the circle externally and also touches the -axis be . Then the area bounded by and the line is: [25-Jul-2022-Shift-1]

Let and be two distinct solutions of the differential equation , with and respectively. Then, the number of points of intersection of and is [27-Jul-2022-Shift-1]

If and are coplanar, then the product of all possible values of is: [29-Jul-2022-Shift-2]

If , then is equal to : [29-Jul-2022-Shift-1]

If , then the maximum value of is : [29-Jul-2022-Shift-1]

is equal to [29-Jun-2022-Shift-1]

Let and be two events such that and Consider(S1) ,(S2) Then [28-Jul-2022-Shift-2]

Let . Let be such that . Then is equal to [27-Jul-2022-Shift-1]

If , where , then which of the following is NOT correct? [29-Jul-2022-Shift-1]

The sum of the cubes of all the roots of the equation ____ [26-Jun-2022-Shift-1]

The value of the integral ____ [26-Jun-2022-Shift-1]

If the line of intersection of the planes and makes an angle with the plane , then the direction cosines of the line are : [27-Jul-2022-Shift-2]

Let be a function defined as where is the greatest integer less than or equal to . If exists, then the value of is equal to [27-Jul-2022-Shift-1]

Let satisfy . If , then is equal to___ [26-Jun-2022-Shift-2]

Let . Then the value of is [24-Jun-2022-Shift-1]

Let be a matrix of order , whose entries are from the set . If the sum of all the entries of is a prime number , then the number of such matrices is____ [27-Jun-2022-Shift-2]

Let the solution curve of the differential equation be . Then is equal to: [29-Jun-2022-Shift-1]

If the sum of the squares of the reciprocals of the roots and of the equation is 15 , then is equal to: [24-Jun-2022-Shift-1]

Let [t] denote the greatest integer less than or equal to . Then, the value of the integral is equal to [28-Jun-2022-Shift-1]

Let be complex numbers satisfying . Then the least value of , such that , is equal to ________. [28-Jul-2022-Shift-2]

The acute angle between the planes and , when and are the planes passing through the intersection of the planes and and the points and , respectively, is [28-Jun-2022-Shift-1]

Let the points on the plane be equidistant from the points and . Then the acute angle between the plane and the plane is [24-Jun-2022-Shift-2]

The value of for which , is equal to [25-Jun-2022-Shift-2]

Let and be two non-zero real matrices such that is a zero matrix. Then [29-Jul-2022-Shift-1]

The integral is equal to: [29-Jul-2022-Shift-1]

If , then the integral value of is equal to [25-Jul-2022-Shift-1]

In an examination, there are 5 multiple choice questions with 3 choices, out of which exactly one is correct. There are 3 marks for each correct answer, marks for each wrong answer and 0 mark if the q

Let the function , be decreasing in and increasing in . A tangent to the parabola at a point on it passes through the point but does not pass through the point . If the equation of the normal at is :

Let and be two events such that the conditional probabilities and . Then : [25-Jun-2022-Shift-1]

The mean and standard deviation of 15 observations are found to be 8 and 3 respectively. On rechecking it was found that, in the observations, 20 was misread as 5 . Then, the correct variance is equal

The integral is equal to [26-Jun-2022-Shift-2]

The system of equations is consistent for all in the set [25-Jun-2022-Shift-2]

Let be the mirror image of the point with respect to the plane . If a line passing through , parallel to the line meets the plane at , then is equal to : [25-Jun-2022-Shift-1]

The number of distinct real roots of the equation ____________. [26-Jul-2022-Shift-1]

The area (in sq. units) of the region enclosed between the parabola and the line is ___ [24-Jun-2022-Shift-2]

Let the mean and the variance of 20 observations be 15 and 9 , respectively. For , if the mean of is 178 , then the square of the maximum value of is equal to ______. [29-Jul-2022-Shift-1]

Let . If is the range of the function , then is equal to : [26-Jun-2022-Shift-1]

Let and . Then the number of elements in the set is _______. [26-Jul-2022-Shift-2]

If the absolute maximum value of the function in the interval is , then : [25-Jul-2022-Shift-1]

For consider the real valued function and . Let and be in an arithmetic progression with mean and positive common difference. If for all , then the absolute difference between the roots of is _______.

Let for some . Then the value of is : [26-Jul-2022-Shift-2]

Consider a function , satisfying with . Then is equal to [29-Jan-2023 Shift 2]

Considering only the principal values of the inverse trigonometric functions, the domain of the function is : [28-Jul-2022-Shift-1]

The number of ways, 16 identical cubes, of which 11 are blue and rest are red, can be placed in a row so that between any two red cubes there should be at least 2 blue cubes, is [27-Jun-2022-Shift-1]

The number of distinct real roots of is: [27-Jun-2022-Shift-1]

If a random variable follows the Binomial distribution such that , then the value of is equal to: [24-Jun-2022-Shift-1]

If the angle made by the tangent at the point on the curve , with the positive -axis is , then is equal to: [25-Jun-2022-Shift-2]

Consider a curve in the first quadrant as shown in the figure. Let the area is twice the area . Then the normal to the curve perpendicular to the line does NOT pass through the point. [27-Jul-2022-Shi

If is the solution of the differential equation such that , then is equal to [25-Jun-2022-Shift-2]

The total number of three-digit numbers, with one digit repeated exactly two times, is___ [25-Jun-2022-Shift-2]

Let a circle in complex plane pass through the points and . If is a point on such that the line through and is perpendicular to the line through and , then is equal to: [25-Jun-2022-Shift-1]

Let be the region bounded by the curves and . The curve divides into two regions of areas . If , then is equal to [24-Jun-2022-Shift-1]

Which of the following matrices can NOT be obtained from the matrix by a single elementary row operation? [29-Jul-2022-Shift-2]

Let be functions defined by and where denote the greatest integer less than or equal to . Then, the function fog is discontinuous at exactly : [28-Jun-2022-Shift-2]

Let and . Then, : [24-Jun-2022-Shift-1]

The number of matrices , where , such that , is _________. [26-Jul-2022-Shift-2]

Let and be the roots of the equation . Then, the value of is equal to: [29-Jun-2022-Shift-1]

If the solution curve of the differential equation passes through the points and , then [29-Jul-2022-Shift-2]

The number of ways to distribute 30 identical candies among four children and so that receives at least 4 and at most 7 candies, receives at least 2 and at most 6 candies, is equal to: [28-Jun-2022-Sh

If the system of linear equations , where has infinitely many solutions then the value of is equal to_____ [28-Jun-2022-Shift-2]

Let denote the greatest integer and denote the fractional part of . The integral value of for which the left hand limit of the function at is equal to , is____ [27-Jun-2022-Shift-2]

Bag I contains 3 red, 4 black and 3 white balls and Bag II contains 2 red, 5 black and 2 white balls. One ball is transferred from Bag I to Bag II and then a ball is drawn from Bag II. The ball so dra

The number of real values of , such that the system of linear equations has no solutions, is [25-Jul-2022-Shift-2]

Let be a quadratic polynomial such that . If one of the roots of is , then the sum of the roots of is equal to : [28-Jun-2022-Shift-2]

Let be such that the equation has a repeated root . If and are the roots of the equation , then is equal to : [25-Jun-2022-Shift-2]

Let and be two real numbers such that and . Then is equal to____ [26-Jun-2022-Shift-2]

The number of for which the system of linear equations has no solution, is : [25-Jul-2022-Shift-1]

If is the solution of the differential equation then is equal to: [24-Jun-2022-Shift-1]

Let and . For , if , then is equal to ________. [29-Jul-2022-Shift-2]

Out of female and male candidates appearing in an exam, candidates qualify it. The number of females qualifying the exam is twice the number of males qualifying it. A candidate is randomly chosen from

If and , then the maximum value of is : [26-Jul-2022-Shift-1]

Let be a matrix having entries from the set . The number of all such matrices having sum of all the entries equal to 5 , is [25-Jun-2022-Shift-1]

Let and .If then is equal to [24-Jun-2022-Shift-1]

Let be a continuous function satisfying , for all where and is a positive integer. If and , then : [28-Jun-2022-Shift-2]

Let the mean and the variance of 5 observations be and respectively. If the mean and variance of the first 4 observation are and a respectively, then is equal to: [29-Jun-2022-Shift-1]

The minimum value of the twice differentiable function , : [28-Jul-2022-Shift-1]

If and respectively are the number of local maximum and local minimum points of the function , then the ordered pair is equal to [27-Jun-2022-Shift-2]

Let be a differentiable function in . If , then is equal to [27-Jun-2022-Shift-2]

Let and . If is the point in which is closest to 4i, then is equal to____ [24-Jun-2022-Shift-2]

Let the minimum value of is attained at . Then is equal to [27-Jul-2022-Shift-1]

Let and respectively be the minimum and the maximum values of . Then is equal to : [30-Jun-2022-Shift-1]

If the system of linear equations , where has infinitely many solutions, then is equal to: [29-Jun-2022-Shift-1]

A vector is parallel to the line of intersection of the plane determined by the vectors and the plane determined by the vectors . The obtuse angle between and the vector is [26-Jul-2022-Shift-2]

Let and , where [t] is the greatest integer . Then, in the open interval , the number of points where fog is discontinuous is equal to____ [25-Jun-2022-Shift-2]

Numbers are to be formed between 1000 and 3000 , which are divisible by 4 , using the digits and 6 without repetition of digits. Then the total number of such numbers is _______. [26-Jul-2022-Shift-2]

If be a complex number such that , then the maximum value of is: [29-Jul-2022-Shift-2]

If and , then : [26-Jul-2022-Shift-1]

Let . Then is equal to___ [26-Jun-2022-Shift-1]

Let and . Then is : [26-Jun-2022-Shift-1]

The shortest distance between the lines and , is [27-Jun-2022-Shift-2]

If the area of the region is , then is equal to_____ [27-Jun-2022-Shift-2]

The area of the bounded region enclosed by the curve and the -axis is : [28-Jun-2022-Shift-2]

If and are two events such that and , then is equal to [25-Jul-2022-Shift-2]

If the sum and the product of mean and variance of a binomial distribution are 24 and 128 respectively, then the probability of one or two successes is: [25-Jul-2022-Shift-1]

Let be a invertible matrix. If , then is equal to : [26-Jun-2022-Shift-1]

Let the line intersect the plane containing the lines and at the point . Then the value of equals ________. [27-Jul-2022-Shift-1]

The value of is equal to : [28-Jun-2022-Shift-2]

For , let the solutions of the equation be and , where the inverse trigonometric functions take only principal values. If the solutions of the equation are and , then is equal to ________. [27-Jul-202

Let be a function defined by . Then, which of the following is NOT true? [29-Jun-2022-Shift-2]

The sum of the maximum and minimum values of the function in the interval , where is the greatest integer , is__ [25-Jul-2022-Shift-2]

The area of the region given by is : [25-Jul-2022-Shift-1]

If , then : [27-Jun-2022-Shift-1]

The area of the polygon, whose vertices are the non-real roots of the equation is : [27-Jun-2022-Shift-1]

The mean of the numbers is 6 and their variance is . If is the mean deviation of the numbers about the mean, then is equal to : [26-Jun-2022-Shift-1]

Let . If is the number of points, where is not differentiable and is the number of points, where is not continuous, then the ordered pair is equal to [26-Jun-2022-Shift-2]

Let be a 4-element permutation with for and for , such that either , are consecutive integers or are consecutive integers. Then the number of such permutations is equal to___ [29-Jun-2022-Shift-1]

The total number of 3-digit numbers, whose greatest common divisor with 36 is 2 , is____ [26-Jun-2022-Shift-2]

Let , where denotes the greatest integer less than or equal to . Then the number of points in where is not differentiable is [25-Jul-2022-Shift-1]

The number of 6-digit numbers made by using the digits , without repetition and which are multiple of 15 is___ [30-Jun-2022-Shift-1]

Let the system of linear equations have a unique solution . If and are collinear points, then the sum of absolute values of all possible values of is [24-Jun-2022-Shift-2]

If , then is equal to : [29-Jul-2022-Shift-1]

Let be a function defined by . Then is equal to____ [27-Jun-2022-Shift-1]

If the mirror image of the point in the plane is , then is equal to: [29-Jun-2022-Shift-1]

is equal to: [27-Jun-2022-Shift-1]

The number of values of for which the system of equations: is inconsistent, is [24-Jun-2022-Shift-1]

The number of real solutions of is equal to [28-Jun-2022-Shift-1]

Let the solution curve of the differential equation pass through the origin. Then is equal to____ [26-Jun-2022-Shift-1]

If for some , the area of the region is equal to , then the area of the region is equal to____ [30-Jun-2022-Shift-1]

is equal to : [30-Jun-2022-Shift-1]

Let lie on the plane , for some . The shortest distance of the plane from the origin is : [29-Jun-2022-Shift-2]

Let be the set of all the natural numbers, for which the line is a tangent to the curve at the point . Then : [26-Jun-2022-Shift-1]

The number of 7-digit numbers which are multiples of 11 and are formed using all the digits , 5,7 and 9 is__ [24-Jun-2022-Shift-2]

The sum of all the elements of the set is___ [24-Jun-2022-Shift-2]

The value of the integral is equal to________. [28-Jul-2022-Shift-2]

The number of 3-digit odd numbers, whose sum of digits is a multiple of 7 , is____ [25-Jun-2022-Shift-1]

The number of matrices of order , whose entries are either 0 or 1 and the sum of all the entries is a prime number, is ________. [29-Jul-2022-Shift-1]

The real part of the complex number is equal to: [30-Jun-2022-Shift-1]

Let be a relation from the set to itself such that , where are prime numbers . Then, the number of elements in is: [29-Jul-2022-Shift-1]

The function defined by is continuous for all in : [28-Jul-2022-Shift-2]

is equal to _______. [28-Jul-2022-Shift-1]

The domain of the function is : [29-Jun-2022-Shift-1]

For the curve , the value of , at the point , on , is equal to ________. [27-Jul-2022-Shift-2]

A wire of length is to be cut into two pieces. One of the pieces is to be made into a square and the other into an equilateral triangle. Then, the length of the side of the equilateral triangle, so th

is equal to [25-Jun-2022-Shift-2]

Let . Then the set of all values of , for which has maximum value at , is : [26-Jul-2022-Shift-1]

The integral is equal to [26-Jul-2022-Shift-2]

Let be the solution of the differential equation , and If , then is equal to____ [27-Jun-2022-Shift-2]

If two straight lines whose direction cosines are given by the relations are parallel, then the positive value of is : [27-Jun-2022-Shift-1]

If the numbers appeared on the two throws of a fair six faced die are and , then the probability that , for all , is : [25-Jul-2022-Shift-1]

The number of points of intersection of and , is [27-Jun-2022-Shift-2]

For real numbers , letArea and andArea and Then, the value of is equal to____ [29-Jun-2022-Shift-2]

is equal to : [26-Jul-2022-Shift-1]

If denotes the greatest integer , then the value of is: [29-Jul-2022-Shift-2]