JEE Main 2024 Previous Year Question Paper with Solutions

IUPAC name of following hydrocarbon is :

A solution is prepared by adding 1 mole ethyl alcohol in 9 mole water. The mass percent of solute in the solution is ______ (Integer Answer) (Given : Molar mass in Ethyl alcohol : 46, water: 18)

Identify product A and product B : [29-Jan-2024 Shift 1]

Total number of species from the following with central atom utilising hybrid orbitals for bonding is. ________. ,

Choose the correct option having all the elements with electronic configuration from the following: [27-Jan-2024 Shift 2]

Product A and B formed in the following set of reactions are: [30-Jan-2024 Shift 2]

The 'Spin only' Magnetic moment for is ____ . given Atomic number of [31-Jan-2024 Shift 1]

The correct IUPAC name of is [29-Jan-2024 Shift 2]

Given below are two statements:Statement I: Fluorine has most negative electron gain enthalpy in its group.Statement II: Oxygen has least negative electron gain enthalpy in its group.In the light of t

In case of isoelectronic species the size of and is affected by: [1-Feb-2024 Shift 1]

Which among the following has highest boiling point? [1-Feb-2024 Shift 2]

The number of unpaired d-electrons in is ______

Number of complexes with even number of electrons in orbitals is -

An octahedral complex with the formula upon reaction with excess of solution given 2 moles of . Consider the oxidation state of Co in the complex is ' '. The value of " " is ______.

Choose the polar molecule from the following : [27-Jan-2024 Shift 1]

Given below are two statements :Statement I : The metallic radius of is and the ionic radius of is lesser than .Statement II : Ions are always smaller in size than the corresponding elements.In the li

For hydrogen atom, energy of an electron in first excited state is . of the same electron of hydrogen atom is . Value of is ______ . (Nearest integer)

Match List I with List II LIST I (Name of the test) LIST II (Reaction sequence involved) [M is metal] A. Borax bead test I. B. Charcoal cavity test II. c. Cobalt nitrate test III. D. Flame test IV. Ch

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : is more acidic than . Reason R: Bond dissociation enthalpy of is lower than .In the

What pressure (bar) of would be required to make emf of hydrogen electrode zero in pure water at ?

The quantity of silver deposited when one coulomb charge is passed through solution:

For a sparingly soluble salt , the equilibrium concentrations of ions and ions are and , respectively. The solubility product of is :

Which of the following has highly acidic hydrogen? [27-Jan-2024 Shift 1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Melting point of Boron (2453 K) is unusually high in group 13 elements.Reason

Given below are two statement:Statement I : Bromination of phenol in solvent with low polarity such as or requires Lewis acid catalyst.Statement II : The lewis acid catalyst polarises the bromine to g

The incorrect statement regarding the geometrical isomers of 2-butene is:

Given below are two statements :Statement (I) : All the following compounds react with -toluenesulfonyl chloride. Statement (II) : Their products in the above reaction are soluble in aqueous .In the l

Identify the correct statements about p-block elements and their compounds.(A) Non metals have higher electronegativity than metals.(B) Non metals have lower ionisation enthalpy than metals.(C) Compou

Which of the following statements are correct ?A. Glycerol is purified by vacuum distillation because it decomposes at its normal boiling point.B. Aniline can be purified by steam distillation as anil

of gaseous hydrocarbon on combustion gives of and of water vapour. Total number of carbon and hydrogen atoms in the hydrocarbon is____ [1-Feb-2024 Shift 2]

Molar ionic conductivities of divalent cation and anion are and respectively. The molar conductivity of solution of an electrolyte with the above cation and anion will be :

The molar conductivity for electrolytes and are plotted against as shown below. Electrolytes A and B respectively are :

Given below are two statements:Statement I: and bloth exhibit hybridisation.Statement II: Both and exhibit hybridisation.In the light of the above statements, choose the correct answer from the option

Consider the given reaction, identify the major product .

The following concentrations were observed at for the formation of from and . At equilibrium : and . Equilibrium constant for the reaction is___ [29-Jan-2024 Shift 2]

The incorrect statements regarding enzymes are:(A) Enzymes are biocatalysts.(B) Enzymes are hon-specific and can catalyse different kinds of reactions.(C) Most Enzymes are globular proteins.(D) Enzyme

Which of the following compounds show colour due to d-d transition? [1-Feb-2024 Shift 2]

In which one of the following metal carbonyls, forms a bridge between metal atoms? [29-Jan-2024 Shift 1]

The difference in the 'spin-only' magnetic moment values of and the manganese product formed during titration of against oxalic acid in acidic medium is _______ . (nearest integer)

Consider the given chemical reaction :Product "A" is :

Total number of isomeric compounds (including stereoisomers) formed by monochlorination of 2-methylbutane is____ [1-Feb-2024 Shift 2]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The total number of geometrical isomers shown by complex ion is three Reason (

Combustion of 1 mole of benzene is expressed at The standard enthalpy of combustion of of benzene is - ' ' . _______. (1) standard Enthalpy of formation of of , for the reaction (graphite) is .(2) Sta

The equilibrium is shifted to the right in :

For the reaction , at for the reaction at same temperature is .(Given : ) [29-Jan-2024 Shift 1]

The number of correct reaction(s) among the following is _____.

Match List-I with List-II.Choose the correct answer from the options given below :

Which of the following statements is not correct about rusting of iron? [27-Jan-2024 Shift 2]

The total number of molecular orbitals formed from and atomic orbitals of a diatomic molecule [30-Jan-2024 Shift 1]

Standard enthalpy of vapourisation for is . Heat required for vapourisation of of at constant temperature is____ . (Given molar mass in ) [29-Jan-2024 Shift 2]

Identify the major product in the following reaction.

The final product A formed in the following multistep reaction sequence is [29-Jan-2024 Shift 1]

Number of elements from the following that CANNOT form compounds with valencies which match with their respective group valencies is ______.B, C, N, S, O, F, P, Al, Si

Which of the following acts as a strong reducing agent? (Atomic number : , [29-Jan-2024 Shift 2]

Consider the above reaction sequence and identify the major product .

For a reaction taking place in three steps at same temperature, overall rate constant . If and are 40,50 and respectively, the overall is . [29-Jan-2024 Shift 1]

Total number of electron present in molecular orbitals of and is ______.

The correct statements from the following are :(A) The decreasing order of atomic radii of group 13 elements is .(B) Down the group 13 electronegativity decreases from top to bottom.(C) dissolves in d

A solution of is by mass and has a density of . The molarity of the solution is (nearest integer) [Given molar mass of ] [29-Jan-2024 Shift 1]

Among and , the sum of spin-only magnetic moment values of basic and amphoteric oxides is ______ (nearest integer).(Given atomic number of is 24 )

Give below are two statements:Statement-I : Noble gases have very high boiling points.Statement-II: Noble gases are monoatomic gases. They are held together by strong dispersion forces. Because of thi

Match List I with List II List-I (Elements) List-II List-II(Properties in their respective groups) A. CI,S I. Elements with highest electronegativity B. Ge, As II. Elements with largest atomic size C.

Given below are two statements :Statement (I) : Dimethyl glyoxime forms a sixmembered covalent chelate when treated with solution in presence of .Statement (II) : Prussian blue precipitate contains ir

Anomalous behaviour of oxygen is due to its [29-Jan-2024 Shift 2]

Identify the mixture that shows positive deviations from Raoult's Law [31-Jan-2024 Shift 1]

For a certain thermochemical reaction at , equilibrium constant is _____ . [27-Jan-2024 Shift 2]

The element having the highest first ionization enthalpy is [29-Jan-2024 Shift 2]

The correct sequence of ligands in the order of decreasing field strength is :

Given below are two statements :Statement I: solid undergoes disproportionation reaction under alkaline conditions to form and Statement II: can undergo disproportionation reaction under acidic condit

Molality of an aqueous solution of urea is . Mole fraction of urea in solution is . Value of is ______ . (integer answer)

The mass of sodium acetate required to prepare of aqueous solution is ______g. (Molar mass of is ) [30-Jan-2024 Shift 1]

The number of element from the following that do not belong to lanthanoids is : and

Total number of unpaired electrons in the complex ion and is

For the electro chemical cell . If and , which of the following is correct?

Given below are two statements :Statement (I) : Kjeldahl method is applicable to estimate nitrogen in pyridine.Statement (II) : The nitrogen present in pyridine can easily be converted into ammonium s

Acid formed in above reaction is : [1-Feb-2024 Shift 2]

An organic compound has carbon, hydrogen and remainder is oxygen. If its molecular weight is 342 , then its molecular formula is :

3-Methylhex-2-ene on reaction with in presence of peroxide forms an addition product (A). The number of possible stereoisomers for 'A' is______ [27-Jan-2024 Shift 1]

Consider the following reaction The time taken for A to become of its initial concentration is twice the time taken to become of the same. Also, when the change of concentration of is plotted against

An artificial cell is made by encapsulating glucose solution within a semipermeable membrane. The osmotic pressure developed when the artificial cell is placed within a solution of at is ______ . (Nea

The product (C) in the following sequence of reactions has _____ bonds.

The correct order of first ionization enthalpy values of the following elements is :(A) (B) (C) (D) (E) Choose the correct answer from the options given below :

The of an aqueous solution containing benzoic acid and sodium benzoate is 4.5. The volume of benzoic acid solution in 300 of this buffer solution is_____ . [30-Jan-2024 Shift 2]

Given below are two statements :Statement (I) : Both metal and non-metal exist in and -block elements.Statement (II) : Non-metals have higher ionisation enthalpy and higher electronegativity than the

Consider the given chemical reaction sequence :Total sum of oxygen atoms in Product A and Product B are ______

reacts with conc. and to give reddish fumes (B), which react with to give yellow solution (C). (B) and (C) respectively are; [27-Jan-2024 Shift 1]

Match List I with List II LIST-I (Test) LIST-II (Observation) A. water test I. Yellow orange or orange red precipitate formed B. Ceric ammonium nitrate test II. Reddish orange colour disappears C. Cer

The linear combination of atomic orbitals to form molecular orbitals takes place only when the combining atomic orbitalsA. have the same energyB. have the minimum overlapC. have same symmetry about th

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : and molecule have pyramidal shape with a lone pair of electrons on nitrogen a

Identify the product and product in the following set of reactions.

Given below are two statements :Statement I : Acidity of -hydrogens of aldehydes and ketones is responsible for Aldol reaction.Statement II : Reaction between benzaldehyde and ethanal will NOT give Cr

Given below are two statements:Statement (I) : Oxygen being the first member of group 16 exhibits only -2 oxidation state.Statement (II) : Down the group 16 stability of +4 oxidation state decreases a

The arenium ion which is not involved in the bromination of Aniline is . [29-Jan-2024 Shift 1]

The standard reduction potentials at for the following half cells are given below : Consider the given electrochemical reactions, The number of metal(s) which will be oxidized be , in aqueous solution

Vanillin compound obtained from vanilla beans, has total sum of oxygen atoms and electrons is ______

A transition metal 'M' among and has the highest second ionisation enthalpy. The spin only magnetic moment value of ion is ______ (Near integer)(Given atomic number :

The major products formed: and respectively are:

Integrated rate law equation for a first order gas phase reaction is given by (where is initial pressure and is total pressure at time ) [31-Jan-2024 Shift 1]

In the precipitation of the iron group (III) in qualitative analysis, ammonium chloride is added before adding ammonium hydroxide to :

The number of tripeptides formed by three different amino acids using each amino acid once is______ [1-Feb-2024 Shift 2]

In acidic medium, shows oxidising action as represented in the half reaction and are respectively are: [1-Feb-2024 Shift 1]

The incorrect statement regarding conformations of ethane is: [27-Jan-2024 Shift 2]

Consider the following elements. Which of the following is/are true about and ?A. Order of atomic radii: B. Order of metallic character : C. Size of the element : D. Order of ionic radii : Choose the

Consider the following transformation involving first order elementary reaction in each step at constant temperature as shown below. Some details of the above reaction are listed below. Step 1 300 2 2

Molar mass of the salt from and which does not evolve coloured vapours on heating with concentrated is ______ , (Molar mass in , [31-Jan-2024 Shift 1]

The ascending acidity order of the following atoms is [29-Jan-2024 Shift 2]

When equal volume of and are separately neutralised by excess volume of solution. and of heat is liberated respectively. The value of is ______.

Choose the correct answer from the options given below :- List I (Spectral Series for Hydrogen) List II (Spectral Region Higher A. Lyman I. Infrared region B. Balmer II. UV region C. Paschen III. Infr

The fragrance of flowers is due to the presence of some steam volatile organic compounds called essential oils. These are generally insoluble in water at room temperature but are miscible with water v

Based on Heisenberg's uncertainty principle, the uncertainty in the velocity of the electron to be found within an atomic nucleus of diameter is ______ (nearest integer)[Given : mass of electron , Pla

Considering acetic acid dissociates in water, its dissociation constant is . If of acetic acid is dissolved in 1 litre water, the solution will freeze at , provided pure water freezes at . _______ . (

The number of species from the following in which the central atom uses hybrid orbitals in its bonding is______ [31-Jan-2024 Shift 1]

The major product of the following reaction is . Number of oxygen atoms present in product ' ' is ______ (nearest integer).

How many compounds among the following compounds show inductive, mesomeric as well as hyperconjugation effects?

Which of the following material is not a semiconductor.

The metal that shows highest and maximum number of oxidation state is:

Correct order of stability of carbanion is

Arrange the following elements in the increasing order of number of unpaired electrons in it.(A) (B) (C) (D) (E) Choose the correct answer from the options given below:

1 mole of is oxidised by " " moles of to get "Y" moles of [27-Jan-2024 Shift 2]

Consider the figure provided. of an ideal gas is kept in a cylinder, fitted with a piston, at the position , at . If the piston is moved to position , keeping the temperature unchanged, then ' ' atm w

During the detection of acidic radical present in a salt, a student gets a pale yellow precipitate soluble with difficulty in solution when sodium carbonate extract was first acidified with dil. and t

The technique used for purification of steam volatile water immiscible substance is: [27-Jan-2024 Shift 2]

Match List-I with List-II List-I (Complexion) List-II (Spin only magneticmoment in B.M.) (A) (I) 4.90 (B) (II) 3.87 (C) (III) 0.0 (D) (IV) 2.83Choose the correct answer from the options given below :

Match List I with List II LIST-I (Element) LIST-II (Electronic Configuration) A. Melting point I. B. Ionic Radius II. C. III. D. AtomicRadius[pm] IV. Choose the correct answer from the options given b

The major products from the following reaction sequence are product and product .The total sum of electrons in product and product are ______ (nearest integer)

thick coating of silver is deposited on a plate of area. The number of silver atoms deposited on plate are _____ . (At mass Ag [30-Jan-2024 Shift 1]

Sugar which does not give reddish brown precipitate with Fehling's reagent is: [30-Jan-2024 Shift 1]

Consider the following redox reaction : The standard reduction potentials are given as below If the equilibrium constant of the above reaction is given as , then the value of _____ (nearest integer) [

Common name of Benzene-1, 2-diol is

Number of and bonds present in ethylene molecule is respectively :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason :Assertion (A) : reaction of occurs more readily than the reaction of .Reason (R) : The partially

Consider the following reactions The number of protons that do not involve in hydrogen bonding in the product is ______.

The difference in energy between the actual structure and the lowest energy resonance structure for the given compound is [29-Jan-2024 Shift 1]

Identify the product in the following reaction :

In alkaline medium. oxidises to [29-Jan-2024 Shift 1]

Given below are two statements:Statement (I) : The group in Aniline is ortho and para directing and a powerful activating group.Statement (II) : Aniline does not undergo FriedelCraft's reaction (alkyl

Phenol treated with chloroform in presence of sodium hydroxide, which further hydrolysed in presence of an acid results [29-Jan-2024 Shift 2]

Using the given figure, the ratio of values of sample and sample is . Value of is ______.Fig : Paper chromatography of Samples

The functional group that shows negative resonance effect is: [1-Feb-2024 Shift 2]

Match List I with List II List-I (Compound) List-II List-II (Colour) A. I. Violet B. II. Blood Red C. III. Prussian Blue D. IV. YellowChoose the correct answer from the options given below :

Number of compounds from the following with zero dipole moment is ______. ,

Number of amine compounds from the following giving solids which are soluble in upon reaction with Hinsberg's reagent is ________.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R: Assertion A: The first ionisation enthalpy decreases across a period.Reason R: The increasing nucl

Given below are two statements:Statement-I: The orbitals having same energy are called as degenerate orbitals.Statement-II: In hydrogen atom, and orbitals are not degenerate orbitals.In the light of t

What will be the decreasing order of basic strength of the following conjugate bases?

If of oxalic acid is required to neutralise of solution, the amount of in of given solution is ____g. [29-Jan-2024 Shift 2]

The number of halobenzenes from the following that can be prepared by Sandmeyer's reaction is ______.

Cyclohexene is type of an organic compound. [27-Jan-2024 Shift 1]

A solution of two miscible liquids showing negative deviation from Raoult's law will have : [27-Jan-2024 Shift 1]

Number of complexes from the following with even number of unpaired "d" electrons is _______. [Given atomic numbers: ,

The statement(s) that are correct about the species and .(A) All are isoelectronic(B) All have the same nuclear charge(C) has the largest ionic radii(D) has the smallest ionic radiiChoose the most app

The Lassiagne's extract is boiled with dil before testing for halogens because, [30-Jan-2024 Shift 1]

Given below are two statements :Statement (I) : reactions are 'stereospecific', indicating that they result in the formation only one stereo-isomers as the product.Statement (II) : reactions generally

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : has lower boiling point than .Reason (R) : In liquid state molecules are associ

Among the following oxide of - block elements, number of oxides having amphoteric nature is , [1-Feb-2024 Shift 1]

of enthanamine was subjected to reaction with followed by hydrolysis to liberate and . The generated was completely neutralised by 0.2 moles of is _____ g.

The enthalpy of formation of ethane from ethylene by addition of hydrogen where the bondenergies of are , and respectively is - _______ .

Match List I with List II : List I (Hybridization) List II (Orientation inSpace) A. I. Trigonalbipyramidal B. II. Octahedral C. III. Tetrahedral D. IV. Square planarChoose the correct answer from the

If a substance ' ' dissolves in solution of a mixture of ' ' and ' ' with their respective number of moles as and , mole fraction of in the solution is: [30-Jan-2024 Shift 2]

Choose the correct statements from the followingA. is an oil at room temperatureB. reacts with acid to give C. is a basic oxideD. does not react with acidChoose the correct answer from the options giv

The correct statement regarding nucleophilic substitution reaction in a chiral alkyl halide is ; [27-Jan-2024 Shift 1]

From the given list, the number of compounds with +4 oxidation state of Sulphur ____________ . [27-Jan-2024 Shift 1]

The equilibrium constant for the reaction is . The value of for the reaction given below is is

of each of water and acetic acid are mixed, The freezing point of the solution will be . Consider the acetic acid does not dimerise in water, nor dissociates in water ______ (nearest integer)[Given :

Given below are two statements:Statement (I) : Aminobenzene and aniline are same organic compounds.Statement (II) : Aminobenzene and aniline are different organic compounds.In the light of the above s

Number of complexes which show optical isomerism among the following is [30-Jan-2024 Shift 2]

Consider the following complex ions The correct order of the complex ions, according to their spin only magnetic moment values (in B.M.) is : [27-Jan-2024 Shift 1]

Given below are two statements:Statement (I) : and are acidic while and are amphoteric in nature.Statement (II) : Allotropic forms of carbon are due to property of catenation and bond formation.In the

A constant current was passed through a solution of ion between gold electrodes. After a period of 10.0 minutes, the increase in mass of cathode was . The total charge passed through the solution is _

Total number of stereo isomers possible for the given structure:

The number of different chain isomers for is _______.

When ' ' methanol (molar mass ; density ) is added to water density , the following diagram is obtained. ________ (nearest integer)[Given: Molal freezing point depression constant of water at is ]

Given below are two statements:Statement I: IUPAC name of is 7-hydroxyheptan-2-one.Statement II: 2-oxoheptan-7-ol is the correct IUPAC name for above compound.In the light of the above statements. cho

Volume of (formula weight ) which can be prepared from of is _____ . [27-Jan-2024 Shift 2]

Match List I with List II LIST-I LIST-II A. I. B. II. C. III. D. IV. Choose the correct answer from the options given below:

The incorrect statement about Glucose is :

The correct arrangement for decreasing order of electrophilic substitution for above compounds

Match List I with List II List I (Bio Polymer) List II (Monomer) A. Starch I. nucleotide B. Cellulose II. -glucose C. Nucleic acid III. -glucose D. Protein IV. -amino acid Choose the correct answer fr

Choose the Incorrect Statement about Dalton's Atomic Theory

The following reaction occurs in the Blast furnance where iron ore is reduced to iron metal Using the Le-chatelier's principle, predict which one of the following will not disturb the equilibrium.

Sum of bond order of and is____ [27-Jan-2024 Shift 1]

The azo-dye formed in the following reactions is Sulphanilic acid [31-Jan-2024 Shift 2]

The amount of electricity in Coulomb required for the oxidation of of to is ______ . [1-Feb-2024 Shift 2]

Which among the following compounds will undergo fastest reaction.

Time required for completion of a first order reaction is ______ time the time required for completion of reaction.(nearest integer).

Structure of 4-Methylpent-2-enal is [30-Jan-2024 Shift 1]

Compare the energies of following sets of quantum numbers for multielectron system.(A) (B) (C) (D) (E) Choose the correct answer from the options given below :

The correct nomenclature for the following compound is:

The number of molecules/ion/s having trigonal bipyramidal shape is ........ . [1-Feb-2024 Shift 1]

2-chlorobutane (isomers)Total number of optically active isomers shown by , obtained in the above reaction is____ [30-Jan-2024 Shift 2]

Which of the following compound will most easily be attacked by an electrophile? [1-Feb-2024 Shift 1]

Given below are two statements:Statement-I: Since fluorine is more electronegative than nitrogen, the net dipole moment of is greater than .Statement-II: In , the orbital dipole due to lone pair and t

The correct IUPAC name of is:

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : In aqueous solutions is reducing while is oxidising in nature.Reason : Extra s

When and , then the temperature of vapour, at one atmosphere is ______ K.

The total number of 'Sigma' and bonds in 2formylhex-4-enoic acid is [29-Jan-2024 Shift 2]

The ratio of in a piece of wood is part that of atmosphere. If half life of is 5730 years, the age of wood sample is ..... years. [1-Feb-2024 Shift 1]

Consider the two different first order reactions given below (Reaction 1) (Reaction 2) The ratio of the half life of Reaction 1 : Reaction 2 is . If and represent the time taken to complete rd and of

Choose the correct Statements from the following:(A) Ethane-1 2-diamine is a chelating ligand.(B) Metallic aluminium is produced by elecrtrolysis of aluminium oxide in presence of cryolite.(C) Cyanide

Number of metal ions characterized by flame test among the following is_______ [30-Jan-2024 Shift 2]

The hydrogen electrode is dipped in a solution of at . The potential of the electrode will be____ . [27-Jan-2024 Shift 2]

Given below are two statement one is labeled as Assertion (A) and the other is labeled as Reason (R). Assertion (A): is an example of allyl halideReason (R): Allyl halides are the compounds in which t

Number of ambidentate ligands among the following is _______.

An ideal gas undergoes a cyclic transformation starting from the point and coming back to the same point by tracing the path as shown in the diagram. The total work done in the process is _____ . [30-

In the following sequence of reaction, the major products and respectively are :

Given below are two statements :Statement (I) : p-nitrophenol is more acidic than m-nitrophenol and o-nitrophenol.Statement (II) : Ethanol will give immediate turbidity with Lucas reagent.In the light

Identify B formed in the reaction. [27-Jan-2024 Shift 2]

The emf of cell is at 298 K. It could be increased by :

Number of oxygen atoms present in chemical formula of fuming sulphuric acid is ______.

Which of the following compounds will give silver mirror with ammoniacal silver nitrate?(A) Formic acid(B) Formaldehyde(C) Benzaldehyde(D) AcetoneChoose the correct answer from the options given below

The number of white coloured salts among the following is ................(A) (B) (c) (D) (E) (F) (G) (H) (I) (J) [1-Feb-2024 Shift 1]

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)Assertion (A): Enthalpy of neutralisation of strong monobasic acid with strong monoacidic base i

The coordination geometry around the manganese in decacarbonyldimanganese(0) [30-Jan-2024 Shift 2]

Which of the following gives a positive test with ninhydrin?

Which of the following are aromatic?

If one strand of a DNA has the sequence ATGCTTCA, sequence of the bases in complementary strand is: [1-Feb-2024 Shift 1]

Number of geometrical isomers possible for the given structure is/are____ [30-Jan-2024 Shift 2]

The number of ions from the following that have the ability to liberate hydrogen from a dilute acid is ______ . and

The molecular formula of second homologue in the homologous series of mono carboxylic acids is [27-Jan-2024 Shift 2]

Which among the following aldehydes is most reactive towards nucleophilic addition reactions?

and formed in the following reactions are: [30-Jan-2024 Shift 2]

Frequency of the de-Broglie wave of election in Bohr's first orbit of hydrogen atom is ______ (nearest integer).[Given : (Rydberg constant) . Plank's constant J.s.

of ethylamine is subjected to reaction with followed by water; evolved dinitrogen gas which occupied volume at STP. is _____ .

Identity the incorrect pair from the following: [27-Jan-2024 Shift 2]

In the reaction of potassium dichromate, potassium chloride and sulfuric acid (conc.), the oxidation state of the chromium in the product is ___ [31-Jan-2024 Shift 2]

Mass of methane required to produce of after complete combustion is g.(Given Molar mass in g mol-1 [27-Jan-2024 Shift 1]

The total number of carbon atoms present in tyrosine, an amino acid, is ______.

Match List - I with List - II. List-I (Reactants)List-II Products(A) Phenol, (I) Salicylaldehyde(B) Phenol, (II) Salicylic acid(C) Phenol, (III) Benzene(D) Phenol, Conc. (IV) Picric acid Choose the co

In the given compound, the number of carbon atom is ______.

On passing a gas, ' ', through Nessler's reagent, a brown precipitate is obtained. The gas ' ' is [29-Jan-2024 Shift 2]

m-chlorobenzaldehyde on treatment with solution yields [30-Jan-2024 Shift 2]

The metal atom present in the complex MABXL (where and are unidentate ligands and is metal) involves hybridization. The number of geometrical isomers exhibited by the complex is:

Which of the following is strongest Bronsted base? [27-Jan-2024 Shift 1]

Match List I with List II LIST-I (Element) LIST-II (Electronic Configuration) A. N I. B. S II. C. Br III. D. Kr IV. Choose the correct answer from the options given below :

If the above equation is balanced with integer coefficients, the value of is____ [30-Jan-2024 Shift 1]

Molality of solution (density ) is ____ . [29-Jan-2024 Shift 2]

If three moles of an ideal gas at expand isotherrnally from to against a constant opposing pressure of , then the amount of heat transferred is ______J. [27-Jan-2024 Shift 1]

Match List-I with List-II. List-I(Test) List-II (Identification) (A) Bayer's test (I) Phenol (B) Ceric ammonium nitrate test (II) Aldehyde (C) Phthalein dye test (III) Alcoholic-OH group (D) Schiff's

From the compounds given below, number of compounds which give positive Fehling's test is____Benzaldehyde, Acetaldehyde, Acetone,Acetophenone,Methanal, 4-nitrobenzaldehyde, cyclohexane carbaldehyde. [

Given below are two statements :Statement I: Nitration of benzene involves the following step -Statement II: Use of Lewis base promotes the electrophilic substitution of benzene.In the light of the ab

This reduction reaction is known as: [30-Jan-2024 Shift 1]

The fusion of chromite ore with sodium carbonate in the presence of air leads to the formation of products and along with the evolution of . The sum of spin-only magnetic moment values of and is _____

Major product of the following reaction is

The number of neutrons present in the more abundant isotope of boron is ' '. Amorphous boron upon heating with air forms a product, in which the oxidation state of boron is ' '. The value of is ...

Identify compound in the following reaction sequence.

The Molarity (M) of an aqueous solution containing of in water is :(Given : Molar Mass Na : 23 and )

Given below are two statements :Statement (I) : Aqueous solution of ammonium carbonate is basic.Statement (II) : Acidic/basic nature of salt solution of a salt of weak acid and weak base depends on an

The number of radial node/s for orbital is: [1-Feb-2024 Shift 2]

Given below are two statements :Statement (I) : The oxildation state of an element in a particular compound is the charge acquired by its atom on the basis of electron gain enthalpy consideration from

If an iron (III) complex with the formula has no electron in its orbital, then the value of is

Identify the incorrect pair from the following : [29-Jan-2024 Shift 1]

Given below are the two statements: one is labeled as Assertion (A) and the other is labeled as Reason (R). Assertion (A): There is a considerable increase in covalent radius from to . However from As

Identify the incorrect statements regarding primary standard of titrimetric analysis(A) It should be purely available in dry form.(B) It should not undergo chemical change in air.(C) It should be hygr

Number of molecules from the following which are exceptions to octet rule is _____. ,

The products and formed in the following reaction scheme are respectively [30-Jan-2024 Shift 2]

The oxidation number of iron in the compound formed during brown ring test for ion is___ [29-Jan-2024 Shift 2]

Identify and in the following reaction sequence. [31-Jan-2024 Shift 2]

Match List I and with List II List-I (Molecule) List-II(Shape) A. I. Square pyramid B. II. Tetrahedral C. III. Trigonal pyramidal D. IV. Trigonal bipyramidal Choose the correct answer from the option

Phenolic group can be identified by a positive: [27-Jan-2024 Shift 2]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Haloalkanes react with to form alkyl cyanides as a main product while with for

In Reimer - Tiemann reaction, phenol is converted into salicylaldehyde through an intermediate. The structure of intermediate is ______.

For a strong electrolyte, a plot of molar conductivity against (concentration) is a straight line, with a negative slope, the correct unit for the slope is

Mass of ethylene glycol (antifreeze) to be added to of water to protect the freezing point at is_____ (Molar mass in for ethylene glycol of water ) [1-Feb-2024 Shift 2]

Iron (III) catalyses the reaction between iodide and persulphate ions, in whichA. oxidises the iodide ionB. oxidises the persulphate ionC. reduces the iodide ionD. reduces the persulphate ionChoose th

Number of molecules/species from the following having one unpaired electron is ______.

Following Kjeldahl's method, of organic compound released ammonia, that neutralised 10 of . The percentage of nitrogen in the compound is_______ . [1-Feb-2024 Shift 2]

The 'spin only' magnetic moment value of is _______ . (Where is a metal having least metallic radii. among and ).(Given atomic number: , and )

Given below are two statements :Statement I : The rate law for the reaction is rate . When the concentration of both and is doubled, the reaction rate is increased " " times.Statement II :The figure i

Highest enol content will be shown by : [27-Jan-2024 Shift 1]

Match List I with List II List-I List-II A. -Glucose and -Galactose I. Functional isomers B. - Glucose and -Glucose II. Homologous C. - Glucose and -Fructose III. Anomers D. -Glucose and -Ribose IV. E

From the vitamins and , the number vitamins that can be stored in our body is____ [31-Jan-2024 Shift 2]

Bond line formula of is: [27-Jan-2024 Shift 2]

Given below are two statements:Statement I : and can act as ligands to form transition metal complexes.Statement II: As N and P are from same group, the nature of bonding of and is always same with tr

Consider the following reaction Product ' ' in neutral or acidic medium disproportionate to give products ' ' and ' ' along with water. The sum of spin-only magnetic moment values of and is _______ BM

For the given reaction, choose the correct expression of from the following: [31-Jan-2024 Shift 1]

Ionic reactions with organic compounds proceed through:(A) Homolytic bond cleavage(B) Heterolytic bond cleavage(C) Free radical formation(D) Primary free radical(E) Secondary free radicalChoose the co

Consider the following single step reaction in gas phase at constant temperature. . The initial rate of the reaction is recorded as when the reaction starts with pressure of and pressure of . After so

Which of the following electronic configuration would be associated with the highest magnetic moment? [27-Jan-2024 Shift 1]

The product formed in the following reaction is: [29-Jan-2024 Shift 2]

Number of alkanes obtained on electrolysis of a mixture of and is___ [31-Jan-2024 Shift 1]

Alkyl halide is converted into alkyl isocyanide by reaction with [29-Jan-2024 Shift 2]

Number of spectral lines obtained in spectra, when an electron makes transition from fifth excited state to first excited state will be___ [30-Jan-2024 Shift 2]

The product of the following reaction is . The number of hydroxyl groups present in the product is_____ [31-Jan-2024 Shift 1]

Which of the following compound can give positive iodoform test when treated with aqueous solution followed by potassium hypoiodite.

We have three aqueous solutions of labelled as ' ', ' ' and ' ' with concentration , , respectively. The value of van t' Haft factor (i) for these solutions will be in the order. [1-Feb-2024 Shift 1]

The reaction at cathode in the cells commonly used in clocks involves.

Wavenumber for a radiation having wavelength is . The value of is _____.

Alkaline oxidative fusion of gives " " which on electrolytic oxidation in alkaline solution produces B. A and B respectively are: [30-Jan-2024 Shift 2]

Consider the following reaction: If of is mixed with of , then amount of formed is ______mmol. (nearest integer) [1-Feb-2024 Shift 1]

The heat of solution of anhydrous and are and respectively.The heat of hydration of to is . The value of is ______.

The interaction between bond and lone pair of electrons present on an adjacent atom is responsible for [29-Jan-2024 Shift 1]

Number of compounds which give reaction with Hinsberg's reagent is______ [1-Feb-2024 Shift 2]

Number of molecules/ions from the following in which the central atom is involved in hybridization is ______.

Molality (m) of aqueous solution of is: (Given : Density of solution , Molar mass in

The total number of 'sigma' and 'Pi' bonds in 2 -oxohex-4-ynoic acid is _____

Which out of the following is a correct equation to show change in molar conductivity with respect to concentration for a weak electrolyte, if the symbols carry their usual meaning :

Consider the following first order gas phase reaction at constant temperature If the total pressure of the gases is found to be 200 torr after . and 300 torr upon the complete decomposition of after a

required for a reaction is produced by decomposition of in as by equation The initial concentration of is and it is after 30 minutes.The rate of formation of is , value of is______ [30-Jan-2024 Shift

Identify from the following species in which hybridization is shown by central atom: [27-Jan-2024 Shift 2]

Number of compounds with one lone pair of electrons on central atom amongst following is __ [29-Jan-2024 Shift 1]

Chromatographic technique/s based on the principle of differential adsorption is/areA. Column chromatographyB. Thin layer chromatographyC. Paper chromatographyChoose the most appropriate answer from t

Match List-I with List-II. Choose the correct answer from the options given below: [27-Jan-2024 Shift 2]

The number of species from the following which are paramagnetic and with bond order equal to one is____ [29-Jan-2024 Shift 1]

Match List I with List II : List I (Molecule / Species) List II (Property / Shape) A. I. Paramagnetic B. NO II. Diamagnetic C. III. Tetrahedral D. IV. Linear Choose the correct answer from the options

Which of the following is the correct structure of L-Glucose?

Identify structure of 2,3-dibromo-1-phenylpentane. [31-Jan-2024 Shift 2]

Given below are two statements:Statement - I: Along the period, the chemical reactivity of the element gradually increases from group 1 to group 18.Statement - II: The nature of oxides formed by group

Coagulation of egg, on heating is because of :

In which one of the following pairs the central atoms exhibit hybridization?

Match List - I with List - II. List-I List-II (A) ICI (I) T -Shape (B) (II) Square pyramidal (C) (III) Pentagonalbipyramidal (D) (IV) LinearChoose the correct answer from the options given below:

Which of the following reactions are disproportionation reactions?(A) (B) (C) (D) Choose the correct answer from the options given below: [1-Feb-2024 Shift 1]

Identify and in the given chemical reaction sequence :-

Match List-I with List-II List-ITetrahedral Complex List-IIElectronic configuration (A) (I) (B) (II) (C) (III) (D) (IV) Choose the correct answer from the option given below:

The Spin only magnetic moment value of square planar complex is _____B.M. (Nearest integer)(Given atomic number for ) [27-Jan-2024 Shift 2]

Identify the major products and respectively in the following set of reactions.

What happens to freezing point of benzene when small quantity of napthalene is added to benzene? [30-Jan-2024 Shift 1]

Correct order of basic strength of Pyrrole

Number of compounds/species from the following with non-zero dipole moment is _______ ,

Given below are two statements :Statement (I) : Fusion of with and an oxidising agent gives dark green .Statement (II) : Manganate ion on electrolytic oxidation in alkaline medium gives permanganate i

One of the commonly used electrode is calomel electrode. Under which of the following categories calomel electrode comes ?

of a non-volatile, non-electrolyte is dissolved in of water at . The solution showed a boiling point elevation by . Assuming the solute concentration in negligible with respect to the solvent concentr

Identify the incorrect statements about group 15 elements :(A) Dinitrogen is a diatomic gas which acts like an inert gas at room temperature.(B) The common oxidation states of these elements are and +

Choose the correct answer from options given below: List - I (Reactions) (A) (B) (C) (D) List - II (Reagents) (I) (II) and conc. (III) (IV) [1-Feb-2024 Shift 1]

Lassaigne's test is used for detection of : [1-Feb-2024 Shift 2]

The following data were obtained during the first order thermal decomposition of a gas A at constant volume: S.No Time/s Total pressure/(atm) 1. 0 0.1 2. 115 0.28 The rate constant of the reaction is

Which one of the following will show geometrical isomerism? [29-Jan-2024 Shift 2]

A sample of and weighed is ignited to constant weight of . The composition of mixture is :(Given molar mass in [31-Jan-2024 Shift 2]

Match List I with List II LIST-I LIST-II A. Glucose/NaHCO I. Gluconic acid B. Glucose/ II. No reaction C. Glucose/HI/ III. n-hexane D. Glucose/Bromine water IV. Saccharic acid Choose the correct answe

A first row transition metal with highest enthalpy of atomisation, upon reaction with oxygen at high temperature forms oxides of formula (where ). The 'spin-only' magnetic moment value of the amphoter

The product in the below mentioned reaction is: [31-Jan-2024 Shift 1]

The order of relative stability of the contributing structure is: Choose the correct answer from the options given below: [27-Jan-2024 Shift 2]

Product is

Identify ' ' in the following reaction :

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R: Assertion A: value of phenol is 10.0 while that of ethanol is 15.9.Reason R: Ethanol is stronger a

When and are the wave functions of atomic orbitals, then is represented by :

Phthalimide is made to undergo following sequence of reactions.Total number of bonds present in product 'P' is/are Phthalimide

Following is a confirmatory test for aromatic primary amines. Identify reagent (A) and (B) [30-Jan-2024 Shift 1]

Element not showing variable oxidation state is : [27-Jan-2024 Shift 1]

The electronic configuration of Einsteinium is : Given atomic number of Einsteinium

Only of solution of unknown molarity is required to reach the end point of a titration of of oxalic acid (2 M) in acidic medium. The molarity of solution should be ______ M.

Given below are two statements :Statement (I) : A Buffer solution is the mixture of a salt and an acid or a base mixed in any particular quantities.Statement (II) : Blood is naturally occurring buffer

If 5 moles of an ideal gas expands from to a volume of at under isothermal and reversible condition then work, , is . The value of is_____(Given ) [31-Jan-2024 Shift 2]

Lowest Oxidation number of an atom in a compound is -2 . The number of an electron in its valence shell is [1-Feb-2024 Shift 1]

Aluminium chloride in acidified aqueous solution forms an ion having geometry [30-Jan-2024 Shift 1]

The number of moles of methane required to produce after complete combustion is:(Given molar mass of methane in )

Which of the following statements are correct about and ?A. They exhibit high enthalpy of atomization as the d-subshell is full.B. and do not show variable oxidation state while shows and + II.C. Comp

The density of ' ' solution (' ' molar) of is . while in molality, the concentration of the solution is ( 3 molal). Then is (Given : Molar mass of is )

Given below are two statements :Statement (I) : A bonding MO has lower electron density above and below the inter-nuclear asix.Statement (II) : The antibonding MO has a node between the nuclei.In the

The transition metal having highest ionisation enthalpy is : [1-Feb-2024 Shift 2]

Identify major product " " formed in the following reaction :

The electronic configuration for Neodymium is:[Atomic Number for Neodymium 60] [27-Jan-2024 Shift 1]

In the given TLC, the distance of spot A & B are , from the bottom of TLC plate, respectively. value of is times more than . The value of is ______.

Functional group present in sulphonic acid is:

Two moles of benzaldehyde and one mole of acetone under alkaline conditions using aqueous after heating gives as the major product. The number of bonds in the product is

On reaction of Lead Sulphide with dilute nitric acid which of the following is not formed?

The maximum number of orbitals which can be identified with and is _______

The quantity which changes with temperature is: [27-Jan-2024 Shift 2]

In Kjeldahl's method for estimation of nitrogen, acts as : [1-Feb-2024 Shift 1]

The correct statements among the following, for a "chromatography" purification method is:

Among the following halogens and Which can undergo disproportionation reaction?

The total number of molecules with zero dipole moment among and is______ [29-Jan-2024 Shift 2]

The incorrect statement regarding ethyne is

At and pressure, a cylinder is filled with equal number of and molecules for the reaction , the for the process is ________.

Match List - I with List - II. List-I (Pair of Compounds) List-II (Isomerism) (A) n-propanol and Isopropanol (I) Metamerism (B) Methoxypropane and ethoxyethane (II) Chain Isomerism (C) Propanone and p

A first row transition metal in its +2 oxidation state has a spin-only magnetic moment value of . The atomic number of the metal is

when treated with gives green colour solution of . The [SPM : Semi Permeable Membrane] Due to osmosis :

The molarity of orthophosphoric acid having purity by weight (specific gravity ) is______ M.(Molar mass of ) [31-Jan-2024 Shift 2]

The correct order of the first ionization enthalpy is

IUPAC name of following compound is : [27-Jan-2024 Shift 1]

The reaction; occurs in which of the following galvanic cell :

Which of the following is metamer of the given compound ?

Given below are two statements:Statement - I: High concentration of strong nucleophilic reagent with secondary alkyl halides which do not have bulky substituents will follow mechanism.Statement - II:

Match List I with List II : List I (Compound /Species) List II (Shape / Geometry) A. I. Tetrahedral B. II. Pyramidal C. III. See saw D. IV. Bent T-shapeChoose the correct answer from the options given

The element which shows only one oxidation state other than its elemental form is :

Which among the following halide/s will not show reaction:(A) (B) Choose the most appropriate answer from the options given below: [27-Jan-2024 Shift 2]

Which one the following compounds will readily react with dilute ?

Fuel cell, using hydrogen and oxygen as fuels,A. has been used in spaceshipB. has as efficiency of to produce electricityC. uses aluminium as catalystsD. is eco-friendlyE. is actually a type of Galvan

For the reaction at and . The reaction will become spontaneous above _______ K.

Time required for completion of of a First order reaction is_____ times of half life of the reaction. [27-Jan-2024 Shift 2]

The ions make the enamel on teeth much harder by converting hydroxyapatite (the enamel on the surface of teeth) into much harder fluoroapatite having the formula.

Match List-I with List-II List-I Molecule List-II Shape (A) (I) T-shape(B) (II) See saw(C) (III) Bent(D) (IV) Square pyramidal [30-Jan-2024 Shift 1]

Two reactions are given below: Then enthalpy change for following reaction [30-Jan-2024 Shift 2]

For the given compounds, the correct order of increasing value :

Which among the following is incorrect statement?

Given below are two statements :Statement I : Gallium is used in the manufacturing of thermometers.Statement II : A thermometer containing gallium is useful for measuring the freezing point ( ) of bri

In a borax bead test under hot condition, a metal salt (one from the given) is heated at point B of the flame, resulted in green colour salt bead. The spin-only magnetic moment value of the salt is ..

for a reaction, of is decomposed in 120 minutes. The time taken for decomposition of is ____ minutes. [31-Jan-2024 Shift 2]

Diamagnetic Lanthanoid ions are: [30-Jan-2024 Shift 1]

and are respectively known as: [1-Feb-2024 Shift 2]

The number of non-polar molecules from the following is______ [27-Jan-2024 Shift 2]

Consider the following complexes.The correct order of A, B, C and D in terms of wavenumber of light absorbed is :

Given below are two statements:Statement I: Aniline reacts with con. followed by heating at gives aminobenzene sulphonic acid, which gives blood red colour in the 'Lassaigne's test'.Statement II: In F

Two nucleotides are joined together by a linkage known as : [27-Jan-2024 Shift 1]

Identify major product ' ' formed in the following reaction. [31-Jan-2024 Shift 2]

Match List I with List II LIST-I (Cell) LIST-II (Use/Property/Reaction) A. Leclanchecell I. Converts energy of combustion into electrical energy B. Ni-Cd cell II. Does not involve any ion in solution

Major product of the following reaction has _______ -bond.

Identify the correct set of reagents or reaction conditions ' ' and ' ' in the following set of transformation.

In the given reactions identify the reagent and reagent [30-Jan-2024 Shift 1]

The compound that is white in color is [31-Jan-2024 Shift 1]

In the above reaction product ' ' is

If of aniline is reacted with one equivalent of benzenediazonium chloride, the mximum amount of aniline yellow formed will be ______ g. (nearest integer)(consider complete conversion)

For a certain reaction at , then for the same reaction is______ . (Given ) [1-Feb-2024 Shift 2]

Number of moles of methane required to produce after combustion is moles. The value of is [31-Jan-2024 Shift 1]

Given below are two statements :Statement I: Group 13 trivalent halides get easily hydrolyzed by water due to their covalent nature.Statement II: upon hydrolysis in acidified aqueous solution forms oc

Which of the following complex is homoleptic? [1-Feb-2024 Shift 1]

Number of carbocations from the following that are not stabilized by hyperconjugation is _______.

Which of the following cannot function as an oxidising agent? [27-Jan-2024 Shift 2]

An amine (X) is prepared by ammonolysis of benzyl chloride. On adding p-toluenesulphonyl chloride to it the solution remains clear. Molar mass of the amine (X) formed is ______ . (Given molar mass in

The correct statements from following are:A. The strength of anionic ligands can be explained by crystal field theory.B. Valence bond theory does not give a quantitative interpretation of kinetic stab

Type of amino acids obtained by hydrolysis of proteins is : [29-Jan-2024 Shift 1]

According to IUPAC system, the compound is named as [29-Jan-2024 Shift 2]

if IUPAC name of an element is "Unununnium" then the element belongs to nth group of periodic table. The value of is____ [30-Jan-2024 Shift 1]

For a reaction If the rate of formation of is set to be zero then the concentration of is given by :

How can an electrochemical cell be converted into an electrolytic cell?

In the Claisen-Schmidt reaction to prepare of dibenzalacetone using of acetone, the amount of benzaldehyde required is _____ g. (Nearest integer)

When and is added to a salt (A), the greenish yellow gas liberated as salt (A) is :

The correct statement/s about Hydrogen bonding is/are :A. Hydrogen bonding exists when is covalently bonded to the highly electro negative atom.B. Intermolecular bonding is present in o-nitro phenolC.

Choose the correct option for free expansion of an ideal gas under adiabatic condition from the following : [1-Feb-2024 Shift 1]

Match List I with List II LIST I (Technique) LIST II (Application) A. Distillation I. Separation of glycerol from spent-lye B. Fractional distillation II. Aniline - Water mixture C. Steam distillation

Major product formed in the following reaction is amixture of: [27-Jan-2024 Shift 2]

Find out the major product formed from the following reaction.

Given below are two statements: One is labelled as Assertion and the other is labelled as Reason R:Assertion A : The stability order of +1 oxidation state of , In and is .Reason R : The inert pair eff

The number of species from the following that have pyramidal geometry around the central atom is ______.

Identify (B) and (C) and how are (A) and (C) related ? (1) functionalgroupisomers (2) Derivative (3) positionisomers (4) chainisomers

From of aniline, the maximum amount of acetanilide that can be prepared will be ______ . (95)

Number of optical isomers possible for 2 - chlorobutane ......... [1-Feb-2024 Shift 1]

A conductivity cell with two electrodes (dark side) are half filled with infinitely dilute aqueous solution of a weak electrolyte. If volume is doubled by adding more water at constant temperature, th

In chromyl chloride test for confirmation of ion, a yellow solution is obtained. Acidification of the solution and addition of amyl alcohol and 10% turns organic layer blue indicating formation of chr

Given below are two statements : one is labelled as Assertion (A) : and the other is labelled as Reason (R). Assertion (A) : Both rhombic and monoclinic sulphur exist as while oxygen exists as .Reason

The correct order of reactivity in electrophilic substitution reaction of the following compounds is : [31-Jan-2024 Shift 2]

The compound formed by the reaction of ethanal with semicarbazide contains ______number of nitrogen atoms. [30-Jan-2024 Shift 1]

Choose the correct statements from the followingA. All group 16 elements form oxides of general formula and where and Po. Both the types of oxides are acidic in nature.B. is an oxidising agent while i

of pure aniline upon diazotisation followed by coupling with phenol gives an orange dye. The mass of orange dye produced (assume 100% yield/ conversion) is _____ g. (nearest integer)

The total number of species from the following in which one unpaired electron is present, is _______.

The incorrect postulates of the Dalton's atomic theory are :(A) Atoms of different elements differ in mass.(B) Matter consists of divisible atoms.(C) Compounds are formed when atoms of different eleme

Total number of ions from the following with noble gas configuration is______ [27-Jan-2024 Shift 2]

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:Assertion A: Alcohols react both as nucleophiles and electrophiles.Reason R: Alcohols react with ac

The de-Broglie's wavelength of an electron in the orpbit is ______ . Bohr's radius)

Molarity (M) of an aqueous solution containing of anhyd. in solution at is . Its molality will be ______ . (nearest integer). [Given density of the solution .]

The rate of first order reaction is at 10 minutes and at 20 minutes after initiation. Half life of the reaction is_______ minutes. (Given [30-Jan-2024 Shift 1]

Among the following, total number of meta directing functional groups is (Integer based) [27-Jan-2024 Shift 1]

Appearance of blood red colour, on treatment of the sodium fusion extract of an organic compound with in presence of concentrated indicates the presence of element/s [29-Jan-2024 Shift 1]

An ideal gas, , is expanded adiabatically against a constant pressure of untill it doubles in volume. If the initial temperature and pressure is and , respectively then the final temperature is ______

Which one of the following reactions is NOT possible?

A diatomic molecule has a dipole moment of . If the bond distance is , then fractional charge on each atom is ____ .(Given esu ) [31-Jan-2024 Shift 2]

of aniline is subjected to reaction with excess of acetic anhydride to prepare acetanilide. The mass of acetanilide produced if the reaction is completed is ____ . (Given molar mass in : 12, [27-Jan-2

According to the wave-particle duality of matter by de-Broglie, which of the following graph plot presents most appropriate relationship between wavelength of electron and momentum of electron ? [1-Fe

Which among the following purification methods is based on the principle of "Solubility" in two different solvents? [30-Jan-2024 Shift 2]

Match List I with List II : List I (Precipitating reagent andconditions) List II (Cation) A. I. B. II. C. gas III. D. dilute IV. Choose the correct answer from the options given below :

Number of compounds among the following which contain sulphur as heteroatom isFuran,Thiophene, Pyridine, Pyrrole, Cysteine, Tyrosine [29-Jan-2024 Shift 1]

Consider the following data for the given reaction The order of the reaction is _________. [27-Jan-2024 Shift 1]

Identify the reagents used for the following conversion [29-Jan-2024 Shift 2]

The osmotic pressure of a dilute solution is at . Osmotic pressure of the same solution at is . [29-Jan-2024 Shift 1]

Given below are two statements :Statement I : The higher oxidation states are more stable down the group among transition elements unlike p-block elements.Statement II : Copper can not liberate hydrog

The correct sequence of electron gain enthalpy of the elements listed below isA. B. C. FD. SChoose the most appropriate from the options given below: [31-Jan-2024 Shift 1]

The heat of combustion of solid benzoic acid at constant volume is at . The heat of combustion at constant pressure is , the value of is ______

DNA molecule contains 4 bases whoes structure are shown below. One of the structure is not correct, identify the incorrect base structure.

A reagent which gives brilliant red precipitate with Nickel ions in basic medium is [29-Jan-2024 Shift 2]

The total number of hydrogen atoms in product and product is_____ [31-Jan-2024 Shift 1]

One Faraday of electricity liberates gram atom of copper from copper sulphate, is_____ [31-Jan-2024 Shift 1]

Solubility of calcium phosphate (molecular mass, M) in water is per at . Its solubility product at will be approximately. [1-Feb-2024 Shift 2]

During Kinetic study of reaction , the following results were obtained:Based on above data, overall order of the reaction is ______.

The total number of anti bonding molecular orbitals, formed from and atomic orbitals in a diatomic molecule is___ [29-Jan-2024 Shift 2]

Total number of aromatic compounds among the following compounds is ______.

Match List I with List II LIST-I (Substances)LIST-II (Element Present)A.Ziegler catalystI.RhodiumB.Blood PigmentII. CobaltC.Wilkinson catalyst III.IronD.Vitamin IV.Titanium Choose the correct answer f

of pure aniline is treated with bromine water at room temperature to give a white precipitate of the product ' '. The mass of product ' ' obtained is . The percentage yield is ......... %.

In the lewis dot structure for , total number of valence electrons around nitrogen is _______.

Given below are two statements:Statement (I): A solution of is green in colour.Statement (II): A solution of is colourless.In the light of the above statements, choose the most appropriate answer from

Given below are two statements :Statement I: In group 13, the stability of +1 oxidation state increases down the group.Statement II: The atomic size of gallium is greater than that of aluminium.In the

The at which begins to precipitate from a solution containing ions is____ [30-Jan-2024 Shift 1]

Among and , the spin-only magnetic moment value of the species with least oxidising ability is ................ BM (Nearest integer).(Given atomic member

The value of Rydberg constant is . The velocity of electron having mass in Bohr's first orbit of hydrogen atom (nearest integer)

The values of conductivity of some materials at are , , . The number of conductors among the materials is____ [31-Jan-2024 Shift 2]

Number of compounds from the following which cannot undergo Friedel-Crafts reactions is : _____ toluene, nitrobenzene, xylene, cumene, aniline, chlorobenzene, m-nitroaniline, m-dinitrobenzene

The vapour pressure of pure benzene and methyl benzene at is given as and 24 Torr, respectively. The mole fraction of methyl benzene in vapour phase, in equilibrium with an equimolar mixture of those

The final product , formed in the following multistep reaction sequence is: [30-Jan-2024 Shift 1]

Number of isomeric products formed by monochlorination of 2-methylbutane in presence of sunlight is_______ [31-Jan-2024 Shift 2]

The correct stability order of the following resonance structures of is

The potential for the given half cell at is . (Given: ) [1-Feb-2024 Shift 1]

Methods used for purification of organic compounds are based on :

The correct set of four quantum numbers for the valence electron of rubidium atom is: [29-Jan-2024 Shift 1]

Choose the correct statements about the hydrides of group 15 elements.A. The stability of the hydrides decreases in the order B. The reducing ability of the hydrides increases in the order C. Among th

Identify the factor from the following that does not affect electrolytic conductance of a solution. [31-Jan-2024 Shift 1]

Select the compound from the following that will show intramolecular hydrogen bonding. [1-Feb-2024 Shift 2]

Given below are two statements:Statement (I) : In the Lanthanoids, the formation of is favoured by its noble gas configuration.Statement (II) : is a strong oxidant reverting to the common +3 state.In

Consider the given reaction. The total number of oxygen atoms present per molecule of the product (P) is___ [29-Jan-2024 Shift 1]

Consider the above chemical reaction. Product " " is:

decomposes on heating at to form along with [29-Jan-2024 Shift 1]

Which one of the following molecules has maximum dipole moment?

Which of the following is not correct? [29-Jan-2024 Shift 1]

Identify the product (A) in the following reaction.

Identify the product in the following reaction:

Which of the following reaction is correct? [29-Jan-2024 Shift 2]

Consider the following test for a group-IV cation. (Black precipitate) + byproductt aqua regia byproductThe spin only magnetic moment value of the metal complex is _____ BM.(Nearest integer)

The ratio of number of oxygen atoms to bromine atoms in the product is _____ .

The correct sequence of acidic strength of the following aliphatic acids in their decreasing order is : ,

Consider the oxides of group 14 elements and . The amphoteric oxides are [31-Jan-2024 Shift 1]

In qualitative test for identification of presence of phosphorous, the compound is heated with an oxidising agent. Which is further treated with nitric acid and ammonium molybdate respectively. The ye

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R : Assertion A : Aryl halides cannot be prepared by replacement of hydroxyl group of phenol by halo

Product 'A' Consider the above reactions, identify product and product .

The mass of zinc produced by the electrolysis of zinc sulphate solution with a steady current of 0.015 A for 15 minutes is ____ . Atomic mass of zinc [29-Jan-2024 Shift 1]

Yellow compound of lead chromate gets dissolved on treatment with hot solution. The product of lead formed is a : [27-Jan-2024 Shift 1]

Thiosulphate reacts differently with iodine and bromine in the reaction given below : Which of the following statement justifies the above dual behaviour of thiosulphate?

Given below are two statements :Statement I : The electronegativity of group 14 elements from to gradually decreases.Statement II : Group 14 contains non-metallic, metallic, as well as metalloid eleme

Evaluate the following statements related to group 14 elements for their correctness.(A) Covalent radius decreases down the group from to in a regular manner.(B) Electronegativity decreases from to do

In the given reactions identify [1-Feb-2024 Shift 2]

The four quantum numbers for the electron in the outer most orbital of potassium (atomic no. 19) are [31-Jan-2024 Shift 2]

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency ' ' hertz and that has a radiant intensity in that direction of watt per sterad

Total number of compounds with Chiral carbon atoms from following is___ [27-Jan-2024 Shift 2]

Identify correct statements from below:A. The chromate ion is square planar.B. Dichromates are generally prepared from chromates.C. The green manganate ion is diamagnetic.D. Dark green coloured dispro

In an atom, total number of electrons having quantum numbers and is

Identify and in the following sequence of reaction [1-Feb-2024 Shift 1]

The spin only magnetic moment value of the ion among and , that acts as strong oxidising agent in aqueous solution is .......... BM (Near integer).(Given atomic numbers: , Co : 27)

Consider the dissociation of the weak acid HX as given below , . The osmotic pressure of aqueous solution of at is _______ bar (nearest integer). [Given : ]

Relative stability of the contributing structures is :

The correct stability order of carbocations is [30-Jan-2024 Shift 2]

Given below are two statements :Statement (I) : The and - series of elements are placed separately in the Periodic table to preserve the principle of classification.Statement (II) :S-block elements ca

Which of the following molecule/species is most stable? [30-Jan-2024 Shift 1]

The molecule/ion with square pyramidal shape is: [30-Jan-2024 Shift 2]

Which of the following nitrogen containing compound does not give Lassaigne's test ?

Combustion of glucose produces and water. The amount of oxygen (in g) required for the complete combustion of of glucose is: [Molar mass of glucose in ]

The ratio for the reaction: is:

On a thin layer chromatographic plate, an organic compound moved by , while the solvent moved by . The retardation factor of the organic compound is ________ [30-Jan-2024 Shift 1]

Choose the correct answer from the options given below:

Given below are two statements:Statement I : The correct order of first ionization enthalpy values of and is .Statement II : The correct order of negative electron gain enthalpy values of and is In th

A species having carbon with sextet of electrons and can act as electrophile is called [31-Jan-2024 Shift 1]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A): Cis form of alkene is found to be more polar than the trans formReason (R): Dip

The correct relationship between and equilibrium pressure is [31-Jan-2024 Shift 2]

The coordination environment of ion in its complex with EDTA is :

Match List-I with List-IIList-IList-IISpeciesElectronic distribution(A) (I) (B) (II) (C) (III) (D) (IV) Choose the correct answer from the options given below: [30-Jan-2024 Shift 1]

Which one of the following complexes will exhibit the least paramagnetic behaviour?[Atomic number, ]

The ascending order of acidity of group in the following compounds is : Choose the correct answer from the options given below : [27-Jan-2024 Shift 1]

Reduction potential of ions are given below: The correct order of their oxidising power is: [30-Jan-2024 Shift 2]

Salicylaldehyde is synthesized from phenol, when reacted with [30-Jan-2024 Shift 2]

While preparing crystals of Mohr's salt, dil. is added to a mixture of ferrous sulphate and ammonium sulphate, before dissolving this mixture in water, dil. is added here to:

A hypothetical electromagnetic wave is show below.The frequency of the wave is . _____ (nearest integer)

The solution from the following with highest depression in freezing point/lowest freezing point is [30-Jan-2024 Shift 2]

Given below are two statements :Statement I : Picric acid is 2, 4, 6-trinitrotoluene.Statement II : Phenol-2, 4-disulphuric acid is treated with conc. to get picric acid.In the light of the above stat

Among the given organic compounds, the total number of aromatic compounds is [27-Jan-2024 Shift 1]

The correct order of ligands arranged in increasing field strength.

The shape of carbocation is:

The orange colour of and purple colour of is due to [30-Jan-2024 Shift 2]

Given below are two statements :Statement (I) : Potassium hydrogen phthalate is a primary standard for standardisation of sodium hydroxide solution.Statement (II) : In this titration phenolphthalein c

The set of meta directing functional groups from the following sets is: [1-Feb-2024 Shift 2]

The major product in the following reaction is [29-Jan-2024 Shift 1]

Which structure of protein remains intact after coagulation of egg white on boiling? [27-Jan-2024 Shift 2]

Match List -I with List II: List - IMechanism steps List - IIEffect (A) (I) effect (B) (II) effect (C) (III) effect (D) (IV) effectChoose the correct answer from the options given below :

The number of complexes from the following with no electrons in the orbital is _______

Choose the correct answer from the options given below : LIST - I (Complex ion) LIST - II Electronic Configuration A. I. B. II. C. III. D. IV. [31-Jan-2024 Shift 2]

For the given hypothetical reactions, the equilibrium constants are as follows: The equilibrium constant for the reaction is

Number of moles of ions required by 1 mole of to oxidise oxalate ion to is_____ [31-Jan-2024 Shift 2]

Arrange the bonds in order of increasing ionic character in the molecules. and [1-Feb-2024 Shift 1]

The ionization energy of sodium in . If electromagnetic radiation of wavelength is just sufficient to ionize sodium atom is___ [31-Jan-2024 Shift 1]

The strongest reducing agent amont the following is: [1-Feb-2024 Shift 2]

Given below are two statements:IUPAC name of Compound is 4-chloro-1, 3-dinitrobenzene:IUPAC name of Compound is 4-ethyl-2-methylaniline.In the light of the above statements, choose the most appropriat

The number of optical isomers in following compound is : _______.

For the compounds: (A) (B) (C) (D) The increasing order of boiling point is : Choose the correct answer from the options given below :

The correct increasing order for bond angles among and is :

The incorrect statement regarding the given structure is

Given below are two statements:Statement I : On passing through a saturated solution of , at room temperature white turbidity appears.Statement II : When gas is passed through a saturated solution of

Given below are two statements:Statement-I: The gas liberated on warming a salt with dil , turns a piece of paper dipped in lead acetate into black, it is a confirmatory test for sulphide ion.Statemen

The mass of silver (Molar mass of ) displaced by a quantity of electricity which displaces of at S.T.P. will be _____g. [27-Jan-2024 Shift 1]

Three moles of an ideal gas are compressed isothermally from to using constant pressure of . Heat exchange for the compression is - ______ Lit. atm.

The total number of correct statements, regarding the nucleic acids isA. RNA is regarded as the reserve of genetic information.B. DNA molecule self-duplicates during cell divisionC. DNA synthesizes pr

A compound (x) with molar mass undergoes acetylation to give product with molar mass . The number of amino groups in the compound is______ [31-Jan-2024 Shift 2]

The metals that are employed in the battery industries areA. B. MnC. D. E. Choose the correct answer from the options given below: [31-Jan-2024 Shift 1]

Number of colourless lanthanoid ions among the following is ______.

Total number of species from the following which can undergo disproportionation reaction________ [30-Jan-2024 Shift 2]

Number of molecules from the following which can exhibit hydrogen bonding is ______ . (nearest integer)

Example of vinylic halide is [30-Jan-2024 Shift 1]

Total number of essential amino acid among the given list of amino acids is ______.Arginine, Phenylalanine, Aspartic acid, Cysteine, Histidine, Valine, Proline

The electron affinity value are negative for :A. B. C. D. E. Choose the most appropriate answer from the options given below :

Total number of deactivating groups in aromatic electrophilic substitution reaction among the following is [1-Feb-2024 Shift 1]

Match List I with List II List I (Compound) List II A. Ethanol I. 10.0 B. Phenol II. 15.9 C. m-Nitrophenol III. 7.1 D. p-Nitrophenol IV. 8.3 Choose the correct answer from the options given below :- [

Which of the following is least ionic? [31-Jan-2024 Shift 2]

Identify the name reaction. [31-Jan-2024 Shift 2]

The electronic configuration of (II) is whereas that of is . Which of the following is correct?

Number of molecules having bond order 2 from the following molecule is ______ .

Chlorine undergoes disproportionation in alkaline medium as shown below : The values of and in a balanced redox reaction are respectively : [29-Jan-2024 Shift 1]

The number of ions from the following that are expected to behave as oxidising agent is:

Total number of optically active compounds from the following is ______.

IUPAC name of following compound is [30-Jan-2024 Shift 2]

Consider the following reaction at . . . for the reaction is _____kJ. (Given ) [31-Jan-2024 Shift 1]

The number of electrons present in all the completely filled subshells having and is_____(Where principal quantum number and spin quantum number [27-Jan-2024 Shift 1]

A solution containing of an electrolyte in of water boils at . The degree of ionization of the electrolyte is ________ . (nearest integer)[Given : Molar mass of (molal boiling point elevation const. o

Major product of the following reaction is - [31-Jan-2024 Shift 2]

Consider the following reaction, the rate expression of which is given below: [equation] [equation] The reaction is initiated by taking concentration and each. If the rate constant ( ) is , then the t

What is the structure of C?

for water is at 1 bar and . Change in internal energy for this vapourisation under same condition is ______ . (Integer answer) Given

Select the option with correct property - [31-Jan-2024 Shift 2]

In the above chemical reaction sequence " " and " " respectively are :

for is and for is . The of ammonium acetate solution will be [1-Feb-2024 Shift 1]

Let and let denote the power set of . If the number of functions such that is and and is least, then is equal to______ [30-Jan-2024 Shift 1]

An integer is chosen at random from the integers 1 , . The probability that the chosen integer is a multiple of atleast one of 4, 6 and 7 is [29-Jan-2024 Shift 2]

The area (in sq. units) of the region described by , and is

If , then is equal to : [1-Feb-2024 Shift 2]

If , then is equal to_____ [31-Jan-2024 Shift 2]

Let a rectangle of sides 2 and 4 be inscribed in another rectangle such that the vertices of the rectangle lie on the sides of the rectangle . Let and be the sides of the rectangle when its area is ma

Let and . Then the total number of one-one maps , such that , is :

Let the set be partitioned into 3 sets with equal number of elements such that and . The maximum number of such possible partitions of is equal to :

The number of distinct real roots of the equation , is ______.

Let be the distance of the point of intersection of the lines and from the point . Then is equal to :

Given the inverse trigonometric function assumes principal values only. Let be any two real numbers in such that Then, the minimum value of is

If and (fof) , where , then (gogog) ( 4) is equal to [31-Jan-2024 Shift 1]

Let the solution of the differential equation satisfy . Then is equal to ________

Two integers and are chosen with replacement from the set . Then the probability that is : [30-Jan-2024 Shift 1]

Let be the roots of the equation . The quadratic equation, whose roots are and , is :

One of the points of intersection of the curves and is . Let the area of the region enclosed by these curves be , where . Then is equal to

If , is such that and , then is equal to [29-Jan-2024 Shift 1]

Let be a function satisfying for all . If , then [30-Jan-2024 Shift 2]

A bag contains 8 balls, whose colours are either white or black. 4 balls are drawn at random without replacement and it was found that 2 balls are white and other 2 balls are black. The probability th

Let, be the distinct roots of the equation and . Then the minimum value of is

is equal to

If the domain of the function is then is equal to :

Lef be a function given by Where . If is continuous at , then is equal to ______.

The integral is equal to :

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation , is _______.

The total number of words (with or without meaning) that can be formed out of the letters of the word 'DISTRIBUTION' taken four at a time, is equal to_____ [31-Jan-2024 Shift 1]

is equal to :

Let the point, on the line passing through the points and , farther from the origin and at a distance of 9 units from the point , be . Then is equal to :

Let be the solution of the differential equation . Let the maximum and minimum values of the function in be and , respectively. If , then equals ...........

Let be the solution of the differential equation sec such that . Then is equal to : [30-Jan-2024 Shift 1]

The function , has [29-Jan-2024 Shift 2]

If and are the vertices of a quadrilateral , then its area is

The variance of the data 0156101217 3232633 Is [30-Jan-2024 Shift 2]

If , where and are rational numbers, then is equal to___ [29-Jan-2024 Shift 2]

The parabola divides the area of the circle in two parts. The area of the smaller part is equal to :

The function is

For the function , between the following two statements (S1) for only one value of is .(S2) is decreasing in and increasing in .

Let be the solution of the differential equation . Then the area enclosed by the curve and the line is ______.

Let the area of the region enclosed by the curve and the -axis between to be . Then is equal to ______.

If , then the value of equals ______.

If the value of the integral then the value of a is [29-Jan-2024 Shift 1]

The area of the region enclosed by the parabola and is equal to [31-Jan-2024 Shift 2]

In a tournament, a team plays 10 matches with probabilities of winning and losing each match as and respectively. Let be the number of matches that the team wins, and be the number of matches that tea

The distance, of the point from the line along the line , is : [27-Jan-2024 Shift 1]

If the solution of the given differential equation passes through the point , then the value of is equal to

The number of elements in the set ____ [1-Feb-2024 Shift 1]

Let for any three distinct consecutive terms a, b, c of an A.P, the lines be concurrent at the point and be a point such that the system of equations , has infinitely many solutions. Then is equal to_

Let and be a relation on . Let be the equivalence relation on such that and the number of elements in is . Then, the minimum value of is____ [31-Jan-2024 Shift 1]

The area of the region enclosed by the parabolas and is _______.

In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections: and . A student is required to attempt total 15 questions taking at

If is the solution of the differential equation , then is equal to :

If the mean and variance of the data , where are 56 and 66.2 respectively, then is equal to [29-Jan-2024 Shift 1]

If then is equal to : [1-Feb-2024 Shift 2]

Let be such that and .Then is equal to :

The number of integers, between 100 and 100 having the sum of their digits equals to 14, is ______.

Consider the function defined by and the function defined by . Then [27-Jan-2024 Shift 2]

The function [29-Jan-2024 Shift 2]

If the domain of the function is , then is equal to : [1-Feb-2024 Shift 2]

If and , then the value of is : [27-Jan-2024 Shift 1]

Let the set of all positive values of , for which the point of local minimum of the function Then is equal to ______.

If , where a, , then is equal to ________

If the domain of the function is , then the value of is equal to [30-Jan-2024 Shift 2]

Consider the following two statements :Statement I : For any two non-zero complex numbers andStatement II : If are three distinct complex numbers and are three positive real numbers such that , then B

Let be a complex number such that and . Then the value of is :

For , if and then is equal to [29-Jan-2024 Shift 1]

Let and be the feet of perpendiculars from the point on the lines and , respectively. If is a right angle, then is equal to____ [31-Jan-2024 Shift 1]

The interval in which the function , is strictly increasing is

Two marbles are drawn in succession from a box containing 10 red, 30 white, 20 blue and 15 orange marbles, with replacement being made after each drawing. Then the probability, that first drawn marble

For a differentiable function , suppose , where and . Then is equal to ______.

where is the constant of integration, then the value of is _______.

Let and where , Then a value of is [29-Jan-2024 Shift 1]

The area (in square units) of the region enclosed by the ellipse in the first quadrant below the line is :

Let the sum of the maximum and the minimum values of the function be , where . Then is equal to :

If the shortest distance between the lines is , where , then the value of equals.

The sum of all possible values of , for which is purely imaginary, is equal to

Let be a positive function such that the area bounded by from to is . Then the differential equation, whose general solution is , where and are arbitrary constants, is :

If and , then is strictly increasing in : [1-Feb-2024 Shift 1]

The lines and intersect at the point . If the distance of from the line is , then is equal to................. [27-Jan-2024 Shift 2]

The number of ways of getting a sum 16 on throwing a dice four times is _______.

If the function defined by is one-one and onto, then the distance of the point from the line is : [31-Jan-2024 Shift 2]

Let and . If , then is equal to : [1-Feb-2024 Shift 2]

The value , where denotes the greatest integer less than or equal to , is [30-Jan-2024 Shift 1]

Let be strictly increasing function such that . Then, the value of is equal to [31-Jan-2024 Shift 2]

60 words can be made using all the letters of the word BHBJO, with or without meaning. If these words are written as in a dictionary, then the word is :

is equal to [29-Jan-2024 Shift 1]

Let and be the roots of the equation , where . If and be the consecutive terms of a non-constant G.P and , then the value of is : [1-Feb-2024 Shift 2]

Three rotten apples are accidently mixed with fifteen good apples. Assuming the random variable to be the number of rotten apples in a draw of two apples, the variance of is [31-Jan-2024 Shift 1]

The number of distinct real roots of the equation is ______.

If , then is equal to : [27-Jan-2024 Shift 2]

Let be the solution of the equation and Then the value of is _____.

If the function attains the maximum value at then :

Let the relations and on the set be given by and . If and be the minimum number of elements required to be added in and , respectively, in order to make the relations symmetric, then equals

Let be a function given by ,where . If is continuous at , then is equal to :

If the shortest distance between the lines and is , then a value of is :

If the mirror image of the point in the line is , then is : [1-Feb-2024 Shift 2]

Let and be two complex numbers such that and . Then equals- [31-Jan-2024 Shift 2]

The value of is equal to: [1-Feb-2024 Shift 2]

Let denote the median of the following frequency distribution. Class Frequency 3 9 10 8 6 Then is equal to : [30-Jan-2024 Shift 1]

A line with direction ratios meets the lines and respectively at the point and . if the length of the perpendicular from the point to the line PQ is , then is [29-Jan-2024 Shift 1]

Considering only the principal values of inverse trigonometric functions, the number of positive real values of satisfying is : [27-Jan-2024 Shift 2]

The values of , for which , lie in the interval [27-Jan-2024 Shift 2]

Let be the solution of the differential equation . If and are coprime numbers, then is equal to [30-Jan-2024 Shift 1]

Let be mirror image of the point in the line .Then is equal to [31-Jan-2024 Shift 2]

Let be given by , where denotes the greatest integer less than or equal to . The number of points, where is not continuous, is :

Consider the system of linear equation where . Which one of the following statements is NOT correct? [30-Jan-2024 Shift 1]

Let be the solution of the differential equation and . Then, is equal to

Let the complex numbers and lie on the circles and respectively, where . Then, the value of is.___ [27-Jan-2024 Shift 2]

Let and . Then, the sum of all the elements of the matrix is :

Consider a line passing through the points and . If the mirror image of the point in the line is , then is equal to ..........

Suppose for a differentiable function , and . If , then is equal to:

The area (in sq. units) of the region is

Let and be a matrix such that . If and , then is equal to :

The temperature of a body at time is and it decreases continuously as per the differential equation , where is positive constant. If , then is equal to [31-Jan-2024 Shift 2]

If constant, then the maximum value of a sin , is :

Let . Then the value of is equal to _______.

If the system of equations has infinitely many solutions, then is equal to [1-Feb-2024 Shift 1]

Let and .If , then is equal to :

Consider the line passing through the points and . The distance of the point from the line along the line is equal to :

If the solution of the differential equation satisfies , then is equal to :

If satisfies the equation and , then is equal to [27-Jan-2024 Shift 1]

Let . Then is equal to__ [27-Jan-2024 Shift 1]

If , then range of is [29-Jan-2024 Shift 1]

Let denote the fractional part of and . If and respectively denotes the left hand limit and the right hand limit of at , then is equal to___ [1-Feb-2024 Shift 1]

If where is the integration constant, then is equal to [29-Jan-2024 Shift 2]

The value of is _______.

is equal to___ [31-Jan-2024 Shift 2]

If the value of the integral is . Then, a value of is

Let be the image of the point in the line . Then is equal to ______.

Let and . Let be a relation defined on by is and only if . Then the number of elements in is ________.

Let the area of the region be . Then is equal to___ [29-Jan-2024 Shift 2]

The frequency distribution of the age of students in a class of 40 students is given below. Age 15 16 17 18 19 20 No. ofStudents 5 8 5 12 x yIf the mean deviation about the median is 1.25 , then is eq

Let and be the vertices of . Then, the angle is [29-Jan-2024 Shift 2]

is equal to:

Let , where is a continuous odd function.If , then is equal to............. [27-Jan-2024 Shift 2]

If is the solution of the differential equation and , then is equal to [29-Jan-2024 Shift 2]

Let . If the system of equations has infinitely many solutions, then is equal to :

For , the value of the integral is : [27-Jan-2024 Shift 2]

Let the set of all values of , for which does not have any critical point, be the interval . Then is equal to ______.

The number of critical points of the function is :

Let be the set of positive integral values of a for which .Then, the number of elements in is : [31-Jan-2024 Shift 1]

If is a complex number, then the number of common roots of the equation and , is equal to : [30-Jan-2024 Shift 2]

Let . If and are the maximum and minimum values of , respectively in , then the value of is : [30-Jan-2024 Shift 2]

Lei be the solution of the differential equation , . Then is equal to _____.

If the system of linear equations has infinitely many solutions, then is equal to [31-Jan-2024 Shift 1]

Let and be defined as and . Then the domain of the function is : [27-Jan-2024 Shift 2]

Let be a function defined by and , then the least value of is equal to [31-Jan-2024 Shift 1]

The sum of squares of all possible values of , for which area of the region bounded by the parabolas and is maximum, is equal to : [1-Feb-2024 Shift 2]

If for all , then is equal to [31-Jan-2024 Shift 1]

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at position in this arrangement is :

The number of ways five alphabets can be chosen from the alphabets of the word MATHEMATICS, where the chosen alphabets are not necessarily distinct, is equal to :

The area (in square units) of the region bounded by the parabola and the line [30-Jan-2024 Shift 1]

The solution curve, of the differential equation , passing through the point is a conic, whose vertex lies on the line :

Let be a real valued function. If and are respectively the minimum and the maximum values of , then is equal to

Let be a square matrix such that . Then is equal to [29-Jan-2024 Shift 1]

Let be the solution of the differential equation , . Then is equal to :

Let the mean and the standard deviation of the probability distribution X α 1 0 -3 P(X) 1/3 K 1/6 1/4be and , respectively. If , then is equal to ______.

If is the number of ways five different employees can sit into four indistinguishable offices where any office may have any number of persons including zero, then is equal to: [1-Feb-2024 Shift 1]

Let and for all . If is decreasing in and increasing in , then is [27-Jan-2024 Shift 2]

Let be the foot of perpendicular from the point on the line . then is equal to : [30-Jan-2024 Shift 1]

Let be the solution curve of the differential equation secy , . Then is equal to :

Let denote the greatest integer less than or equal to . Let be a function defined by . Let be the set of all points in the interval at which is not continuous. Then is equal to ______.

If a function satisfies for all and , then the largest natural number such that is equal to ______.

Number of ways of arranging 8 identical books into 4 identical shelves where any number of shelves may remain empty is equal to [29-Jan-2024 Shift 2]

The value of is : [30-Jan-2024 Shift 1]

If the solution curve of the differential equation passes through the point and , then is [29-Jan-2024 Shift 1]

If is the smallest equivalence relation on the set such that , then the number of elements in is [29-Jan-2024 Shift 2]

Let , be the roots of the equation . Let . Then is equal to :

If the set has elements and , where , then the value of is :

The number of symmetric relations defined on the set which are not reflexive is____ [30-Jan-2024 Shift 2]

If the shortest distance between the lines and is 1 , then the sum of all possible values of is :____ [1-Feb-2024 Shift 1]

Let and .If is the matrix of cofactors of the elements of , then is equal to :

A line passes through and . The point where are non-negative integers, on the line lies at a distance of 21 units, from the point . The distance between the points and is equal to [31-Jan-2024 Shift 2

Let be the solution of the differential equation then is equal to

If the function has a local maximum at and a local minimum , then and are the roots of the equation :

Let be a non constant twice differentiable such that . If a real valued function is defined as , then [30-Jan-2024 Shift 1]

If and , then is equal to :

The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found that an observation was read as 10 in place of 12 . If and denote the mean and var

Let . If , then is equal to:

The shortest distance between the line and is:

Let , and be a function such that for all . Then is equal to :

If , then at is equal to:

If the solution curve, of the differential equation passing through the point is then is equal to__ [27-Jan-2024 Shift 2]

Let . If the sum of the diagonal elements of is , then is equal to _____.

Let . Suppose is the set of all the subsets of , then the relation is : [27-Jan-2024 Shift 1]

Let and be the sum and the product of all the non-zero solutions of the equation . Then is equal to :

If the mean of the following probability distribution of a random variable ; X 0 2 4 6 8 P(X) a 2a a+b 2b 3bis , then the variance of the distribution is

Let be a differentiable function such that . Then is equal to

All the letters of the word "GTWENTY" are written in all possible ways with or without meaning and these words are written as in a dictionary. The serial number of the word "GTWENTY" IS [29-Jan-2024 S

Let S and . Let be such that and . Then equals : [1-Feb-2024 Shift 1]

Let be a differentiable function in the interval such that and for each . Then is equal to _______.

The value of the integral equals : [1-Feb-2024 Shift 1]

Let be a root of the equation .If , where then is equal to ______.

If are two distinct complex number such that , then

If , where denotes the greatest integer less than or equal to and represents the fractional part of , then is equal to _______.

The area of the region in the first quadrant inside the circle and outside the pnrabola is equal to :

Let are co-prime natural numbers) be a solution of the equation and let be the roots of the equation . Then the point lies on the line [29-Jan-2024 Shift 2]

Let be the roots of the equation with . Then is equal to [29-Jan-2024 Shift 1]

Let , then , where denotes the greatest integer less than or equal to , is equal to : [1-Feb-2024 Shift 2]

Consider the relations and defined as for all and for all . Then [1-Feb-2024 Shift 2]

If , then at is equal to :

The shortest distance between lines and , where and is the line passing through the points and perpendicular to the line , is [31-Jan-2024 Shift 2]

Consider 10 observation . such that and , where are positive integers. Let the mean and the variance of the observations be and respectively. The is equal to : [1-Feb-2024 Shift 2]

Let a line passing through the point intersect the lines at and at , c). Then the value of equals [30-Jan-2024 Shift 2]

The sum of all the solutions of the equation is :

If be the orthocentre of the triangle whose vertices are and , and , then is equal to : [27-Jan-2024 Shift 1]

Let . Then and are the roots of the equation :

There are 5 points on the side , excluding and , of a triangle . Similarly there are 6 points on the side and 7 points on the side of the triangle. The number of triangles, that can be formed using th

For , if , then is equal to ______.

The area enclosed by the curves and is equal to : [1-Feb-2024 Shift 1]

If the function , , is continuous at , then is equal to :

If an unbiased dice is rolled thrice, then the probability of getting a greater number in the roll than the number obtained in the roll, , is equal to :

Let denote the largest integer less than or equal to . If where , then is equal to ______.

Let . Then at , the value of is equal to [29-Jan-2024 Shift 2]

Let be the image of the point in the line and be the point . If the area of the triangle is and , then is equal to:

A function satisfies with condition . Then is equal to [29-Jan-2024 Shift 1]

The mean and standard deviation of 20 observations are found to be 10 and 2, respectively. On respectively, it was found that an observation by mistake was taken 8 instead of 12 . The correct standard

Let and be the points on the line which are at a distance of 6 units from the point . If the centroid of the triangle PQR is , then is: [1-Feb-2024 Shift 2]

An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability, that the first draw gives all white balls and the second draw gives all black

Let the range of the function If and are respectively the A.M. and the G.M. of and , then is equal to :

Let and . Then is equal to :

Let be a function defined and then [30-Jan-2024 Shift 2]

Let and denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked . If the probability that has all real roots is , , then is equal to ______.

Let . The number of points of local maxima of in interval is:

The value of the integral is:

Let be the solution of the differential equation Then is equal to [31-Jan-2024 Shift 2]

From a lot of 12 items containing 3 defectives, a sample of 5 items is drawn at random. Let the random variable denlote the number of defective items in the sample. Let items in the sample be drawn on

Let and respectively be the modulus and amplitude of the complex number , then is equal to [29-Jan-2024 Shift 2]

Consider the system of linear equations , where . Then, which the following statement is NOT correct? [30-Jan-2024 Shift 2]

The coefficients in the quadratic equation are chosen from the set . The probability of this equation having repeated roots is :

If the system of equations has infinitely many solutions, then is equal to _____.

Let Ajay will not appear in JEE exam with probability , while both Ajay and Vijay will appear in the exam with probability . Then the probability, that Ajay will appear in the exam and Vijay will not

Let be a differentiable function such that , If the , then is equal to : [30-Jan-2024 Shift 1]

For , let be a continous function at . Then is equal to

Let be a curve lying in the first quadrant such that the area enclosed by the line and the co-ordinate axes, where is any point on the curve, is always . If , then equals_____ [30-Jan-2024 Shift 2]

Let and . Then the number of one-one functions from to is equal to ______.

Let where and . Then the function is

If the function is differentiable on , then is equal to___ [30-Jan-2024 Shift 1]

If is a complex number such that , then the minimum value of is: [1-Feb-2024 Shift 2]

If the variance of the frequency distribution is 160 , then the value of is c 2c 3c 4c 5c 6c 2 1 1 1 1 1

Let , . Then at is equal to :

Consider the function defined by . If and be respectively the number of points at which is not continuous and is not differentiable, then is [31-Jan-2024 Shift 2]

Let the sum of two positive integers be 24 . If the probability, that their product is not less than times their greatest positive product, is , where , then equals :

Let the median and the mean deviation about the median of 7 observation , a, b be 170 and respectively. Then the mean deviation about the mean of these 7 observations is : [1-Feb-2024 Shift 1]

Let Then the number of elements in is : [1-Feb-2024 Shift 1]

If is the solution of the differential equation , then, equals ________ [1-Feb-2024 Shift 1]

Let for all . Consider a function such that for all . Then the value of is :

Let be a point in the first octant, whose projection in the xy-plane is the point . Let ; the angle between and the positive -axis be ; and the angle between and the positive -axis be , where is the o

The number of real solutions of the equation is _____.

Three urns A, B and C contain 7 red, 5 black; 5 red, 7 black and 6 red, 6 black balls, respectively. One of the um is selected at random and a ball is drawn from it. If the ball drawn is black, then t

In a survey of 220 students of a higher secondary school, it was found that at least 125 and at most 130 students studied Mathematics; at least 85 and at most 95 studied Physics; at least 75 and at mo

The number of triangles whose vertices are at the vertices of a regular octagon but none of whose sides is a side of the octagon is

Let be 10 observations such that and . Then the standard deviation of is equal to : [27-Jan-2024 Shift 1]

Let be the point and be the foot of the perpendicular drawn from the point on the line passing through the points and . Then the length of the line segment is equal to _______.

For and a natural number , let . Then is

Let the area of the region enclosed by the curves and be . Then is equal to

Let be defined as and . Then the function is

If for some and , then is equal to [31-Jan-2024 Shift 2]

Consider the function defined by . If the composition of , then the value of is equal to .

The sum of the square of the modulus of the elements in the set is ______.

The number of real solutions of the equation is [30-Jan-2024 Shift 2]

Let the mean and the variance of 6 observation a, b, be 55 and 194 , respectively if , then is [31-Jan-2024 Shift 2]

Consider the matrices : and . Let the set of all , for which the system of equations has a negative solution (i.e., and ), be the interval ( ).Then is equal to ______.

The maximum area of a triangle whose one vertex is at and the other two vertices lie on the curve at points and where is : [30-Jan-2024 Shift 1]

Let .Then is equal to

Let . Let be a relation on A defined by if and only if . Let be a symmetric relation on such that and the number of elements in is . Then, the minimum value of is [31-Jan-2024 Shift 2]

Three points , are on the parabola . Let be the area of the region bounded by the line PQ and the parabola, and be the area of the triangle . If the minimum value of is , then is equal to : [1-Feb-202

Let be roots of . If , then is equal to ______.

Suppose the solution of the differential equation represents a circle passing through origin. Then the radius of this circle is :

The value of is:

If and , then is equal to [31-Jan-2024 Shift 2]

The values of , for which the system of equations has infinitely many solutions, satisfy the equation :

For . If and , then equal to [31-Jan-2024 Shift 1]

If , where are rational numbers, then is equal to : [27-Jan-2024 Shift 1]