JEE Main 2021 Previous Year Question Paper with Solutions

The major product formed in the following reaction is

The number of significant figures in 0.00340 is __________ .

Consider the above chemical reaction. The total number of stereoisomers possible for Product 'P' is __________ .

Match List-I with List-II : List-I (Species) List-II (Hybrid Orbitals) (a) (i) (b) (ii) (c) (iii) (d) (iv) (v) sp Choose the correct answer from the options given below :

Which of the following is not a correct statement for primary aliphatic amines?

and are known when and are

Consider the above reaction, compound B is :

Which one of the following species doesn't have a magnetic moment of , (spin only value)?

In Duma's method of estimation of nitrogen, of an organic compound gave of nitrogen collected at and of pressure. The percentage composition of nitrogen in the compound is (Round off to the nearest in

Benzene on nitration gives nitrobenzene in presence of and mixture, where :

Given below are two statements. Statement-I 2-methylbutane on oxidation with gives 2 -methylbutan-2-ol. Statement-II -alkanes can be easily oxidised to corresponding alcohols with . Choose the correct

What is the final product (major) ' ' in the given reaction ?

Identify in the given chemical reaction,

For the galvanic cell, , ( Nearest integer ) [ Use ]

In polythionic acid, to 5 the oxidation state(s) of sulphur is/are

The total number of reagents from those given below, that can convert nitrobenzene into aniline is ........ (Integer answer)

The pH of a solution obtained by mixing of and of is . The value of x is ........ (Nearest integer)

For the reaction, at , . If we start the reaction in a closed container at with 22 millimoles of , the amount of is the equilibrium mixture is ......... millimoles (Round off to the nearest integer).

According to the valence bond theory the hybridization of central metal atom is for which one of the following compounds?

The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro ethane is ......... degree. (Round off to the nearest integer) (Round off to the nearest integer)

Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to ______

Among the following compounds I - IV, which one forms a yellow precipitate on reacting sequentially with (i) (ii) dil. (iii) ?

The number of hydrogen bonded water molecule(s) associated with stoichiometry is/are.

of aqueous solution of in acidic medium completely reacted with of aqueous . The molarity of the solution is ...... (Round off to the nearest integer).

In the following the correct bond order sequence is:

Which of the following compound cannot act as a Lewis base?

The reaction of cyanamide, with oxygen was run in a bomb calorimeter and was found to be . The magnitude of for the reaction is ............. (Rounded off to the nearest integer). [Assume ideal gases

The interaction energy of London forces between two particles is proportional to , where r is the distance between the particles. The value of x is

What is the major product formed by HI or reaction with

To an aqueous solution containing ions such as and was added conc. , followed by . The total number of cations precipitated during this reaction is/are :

Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene ______. (Nearest integer)

The wavelength of electrons accelerated from rest through a potential difference of is The value of is ________ (Nearest integer) Given : Mass of electron Charge on an electron Planck's constant

Hofmann bromamide degradation of benzamide gives product , which upon heating with and gives product . The structures of and are

Which one of the following tests used for the identification of functional groups in organic compounds does not use copper reagent?

At and pressure, there are equal number of molecules and atoms in the reaction mixture. The value of for the reaction under the above conditions is . The value of is ........... . (Rounded off to the

Match List-I with List-II.List-I (Test / Reagents / Observation(s))List-II (Species detected)A. Lassaigne's test(i) CarbonB. Cu(II) oxide (ii) SulphurC. Silver nitrate(iii) N,S,P, and halogenD. The so

Potassium permanganate on heating at gives a product which is

Consider the cell at The fraction of total iron present as ion at the cell potential of is . The value of is _______ (Nearest integer) (Given :

Which of the following molecules does not show stereo isomerism ?

Statement I Sodium hydride can be used as an oxidising agent. Statement II The lone pair of electrons on nitrogen in pyridine makes it basic. Choose the correct answer from the options given below.

In the above reaction, the structural formula of and respectively are

Which one of the following when dissolved in water gives coloured solution in nitrogen atmosphere?

Amongst the following, the linear species is

A central atom in a molecule has two lone pairs of electrons and forms three single bonds. The shape of this molecule is

In the sulphur estimation, of an organic compound gave of barium sulphate. The percentage of sulphur in the compound is .........%. (Nearest integer) (Atomic mass of )

A hard substance melts at high temperature and is an insulator in both solid and in molten state. This solid is most likely to be a/an

The reaction of sulphur in alkaline medium is given below The value of ' ' is ........... (Integer answer)

The spin-only magnetic moment value of species is ......... . (Nearest integer) [Given, ]

Consider the following reaction, , . The quantity of electricity required in Faraday to reduce five moles of is ............. .

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) The bond angle in water molecule is . Reason (R) The lone pair - lone pair repul

The major product of the following reaction is

Consider the elements and , the correct increasing order of their first ionisation enthalpy is

In the structure of the dichromate ion, there is a

Compound used as a strong oxidising agent is amphoteric in nature. It is the part of lead storage batteries. Compound is

The ion is a strong reducing agent in spite of its ground state electronic configuration (outermost): [Atomic number of ]

In the above chemical reaction, intermediate and reagent / condition are

Choose the correct statement regarding the formation of carbocations and .

Chemical nature of the nitrogen oxide compound obtained from a reaction of concentrated nitric acid and (in 4 : 1 ratio) is :

A homogeneous ideal gaseous reaction is carried out in a flask at . The initial amount of was 1 mole and the equilibrium pressure was . The value of is . The value of is ............ .

and ' ' in the following reaction are

A reaction of benzonitrile with one equivalent followed by hydrolysis produces a yellow liquid "P". The compound "P" will give positive_____.

Given below are two statements. Statement I The limiting molar conductivity of (strong electrolyte) is higher compared to that of (weak electrolyte). Statement II Molar conductivity decreases with dec

The orbital having two radial as well as two angular nodes is

Seliwanoff test and xanthoproteic test are used for the identification of and respectively.

Mesityl oxide is a common name of

The oxide that shows magnetic property is

The ionic radii of and are in the order :

When of is added to of water, its freezing point drops by . The dissociation constant of is . The value of is ............. . (Rounded off to the nearest integer)

Chalcogen group elements are

Which of the following vitamin is helpful in delaying the blood clotting ?

The product obtained from the electrolytic oxidation of acidified sulphate solutions, is :

The of ammonium phosphate solution, if of phosphoric acid and of ammonium hydroxide are and respectively, is .......... .

The absolute value of the electron gain enthalpy of halogens satisfies

The exact volumes of solution required to neutralise of solution and of solution, respectively, are

Which one of the following carbonyl compounds cannot be prepared by addition of water on an alkyne in the presence of and ?

Among the following allotropic forms of sulphur, the number of allotropic forms, which will show paramagnetism is .......... a. -sulphur b. -sulphur c. -form

An average person needs about energy per day. The amount of glucose (molar mass ) needed to meet this energy requirement is ________ . (Use: glucose )

If the above equation is balanced with integer coefficients, the value of is

The correct structure of Rhumann's Purple, the compound formed in the reaction of ninhydrin with proteins is :

The correct order of following metal oxides, according to their oxidation numbers is : (a) (b) (c) (d) (e)

In the following sequence of reactions, the final product D is

freezes at . The temperature at which a solution of in of freeze is ........ . (The molal freezing point depression constant of is .)

The type of hybridisation and magnetic property of the complex , respectively, are:

of is mixed with of . The molar heat of neutralisation of this reaction is . The increase in temperature in of the system on mixing is . The value ofx is ........ (Nearest integer) [Given, specific he

The number of species below that have two lone pairs of electrons in their central atom is .......... (Round off to the nearest integer)

According to molecular orbital theory, the number of unpaired electron(s) in is .......

The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is

The equilibrium constant at for the reaction is 100 . Starting with an equimolar solution with concentrations of A, B, C and D all equal to , the equilibrium concentration of D is ........... . (Neare

What is A in the following reaction ?

The first order rate constant for the decomposition of at is and activation energy is . Its rate constant (in ) at is . The value of x is ......... (Nearest integer) [Given, ]

On treating a compound with warm dil. , gas is evolved, which turns paper acidified with dil. to a green compound and respectively are

The number of octahedral voids per lattice site in a lattice is ......... . (Rounded off to the nearest integer)

A solute a dimerises in water. The boiling point of a 2 molar solution of is . The percentage association of is (Round off to the nearest integer) [Use for water , boiling point of water ]

Consider the given reaction, identify X and Y.

Match List-I with List-II List-I(Molecule) List-II(Bond order) A. (i) 1 B. (ii) 2 C. (iii) 0 D. (iv) 3Choose the correct answer from the options given below.

of aniline completely reacts to form acetanilide. of the product is lost during purification. Amount of acetanilide obtained after purification (in g) is .......... .

Number of paramagnetic oxides among the following given oxides is and

The total number of sigma bond/s in mesityl oxide is . (Round off to the nearest integer).

Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :

An inorganic Compound 'X' on treatment with concentrated produces brown fumes and gives dark brown ring with in presence of concentrated . Also Compound ' gives precipitate 'Y', when its solution in d

The spin-only magnetic moment value for thecomplex is _______ . [At. no. of

Which of the following reaction is an example of ammonolysis ?

of glucose (Molar mass ) is mixed with of water. The freezing point of solution is ........... K. (Nearest integer) [Given, , density of water , freezing point of water ]

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R. Assertion A : Sharp glass edge becomes smooth on heating it upto its melting point. Reason R : The

Which one of the following compounds of Group-14 elements is not known?

The correct order of the following compounds showing increasing tendency towards nucleophilic substitution reaction is

is dissociated in water to and . The boiling point of a molal aqueous solution of is ...... (Round off to the nearest integer). [Given, molal elevation constant of water boiling point of pure water ]

Correct statement about the given chemical reaction is

On complete reaction of with oxalic acid in aqueous solution containing , resulted in the formation of product . The secondary valency of Fe in the product is (Round off to the nearest integer).

Which of the following is not an example of fibrous protein ?

Sodium oxide reacts with water to produce sodium hydroxide. of sodium oxide is dissolved in of water. Neglecting the change in volume, the concentration of the resulting solution is .(Nearest integer)

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

The number of atoms in of sodium is . The value of x is ......... . (Nearest integer) [Given : Atomic mass of ]

For above chemical reactions, identify the correct statement from the following:

At , the vapour pressure of is and that of is . One mole of and 2 moles of are mixed. Assuming that this solution is ideal, the vapour pressure of the mixture is ......... kPa. (Round off to the neare

Among the given species the Resonance stabilised carbocations are:

of solution contains of sodium. The molarity of the solution is ...... . (Nearest integer) [ Atomic masses ,

Potassium chlorate is prepared by electrolysis of in basic solution as shown by following equation. A current of A has to be passed for to produce of potassium chlorate. the value of is ______ (Neares

The above reaction requires which of the following reaction conditions?

The solubility of in water is [Given: The solubility product of in water ]

Metallic sodium does not react normally with :

Which among the above compound/s does/do not form Silver mirror when treated with Tollen's reagent?

Which of the following is least basic?

In Carius method, halogen containing organic compound is heated with fuming nitric acid in the presence of :

The species given below that does NOT show disproportionation reaction is :

Identify the process in which change in the oxidation state is five :

Dichromate ion is treated with base, the oxidation number of in the product formed is ......... .

For the reaction, The magnitude of the standard molar Gibbs free energy change, kJ (Round off to the nearest integer).

________ grams of 3-hydroxy propanal must be dehydrated to produce of acrolein , if the percentage yield is 64 (Round off to the nearest integer). [Given: Atomic masses : ,

The correct order of their reactivity towards hydrolysis at room temperature is :

Consider the given reaction, percentage yield of

Ammonolysis of alkyl halides followed by the treatment with solution can be used to prepare primary, secondary and tertiary amines. The purpose of in the reaction is

Match List-I with List-II. List-I (Species) List-II (Number of lone pair of electrons on the central atom) 1. 0 2. 1 3. 2 4. 3 Choose the most appropriate answer from the options given below:

Which one of the following compounds is non-aromatic ?

A certain element crystallises in a bcc lattice of unit cell edge length . If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cell in A will be.

The number of orbitals with is (Round off to the nearest integer).

Given below are two statements: Statement I : and are hybridised. Statement II : and are paramagnetic and have 4 and 5 unpaired electrons, respectively. In the light of the above statements, choose th

Which one of the following aqueous solutions has lowest freezing point?

Consider the following chemical reaction. Product The number of hybridised carbon atom(s) present in the product is .............

This reaction was studied at and the following data was obtained: run (1) 0.10 0.10 0.35 (2) 0.10 0.20 0.35 (3) 0.20 0.20 1.40 and are the initial concentrations and is the initial reaction rate. The

The total number of negative charge in the tetrapeptide, Gly - Glu - Asp - Tyr, at pH 12.5 will be ........ . (Integer answer)

If the concentration of glucose in blood is , the molarity of glucose in blood is ______ (Nearest integer) [Given: Atomic mass of

The correct sequence of correct reagents for the following transformation is :-

Which of the following compound gives pink colour on reaction with phthalic anhydride in conc. followed by treatment with ?.

The number of moles of , that must be added to of in order to reduce the concentration of ions to for is.......... (Nearestinteger) [Assume no volume change on adding ]

Consider the above chemical reaction and identify product .

10.0 mL of 0.05 M solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The strength of given oxalic acid solution is ........ g/L. (Round off to the nearest integ

Given below are two statements : Statement I : Aniline is less basic than acetamide. Statement II : In aniline, the lone pair of electrons on nitrogen atom is delocalised over benzene ring due to reso

For the given reaction,What is A?

Which one of the following compounds will liberate , when treated with

A xenon compound ' ' upon partial hydrolysis gives . The number of lone pair of electrons present in compound is (Round off to the nearest integer).

An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is reacted with [Carius Method], the percentage of chlorine in compound A is ______

Consider the above reaction, the major product "P" formed is :-

The major products A and B formed in the following reaction sequence are

What is the correct sequence of reagents used for converting nitrobenzene into -dibromobenzene?

An aqueous solution of density has a molality of . The molarity of the solution in is .......... . (Nearest integer) [Molar mass of ]

Match List-I with List-II.List IList II(A) Deacon's process(i) ZSM-5(B) Contact process(ii) (C) Cracking of hydrocarbons(iii) Particles 'Ni'(D) Hydrogenation of vegetable oils(iv)

Match List-I with List-II. List-I(Chemical reaction) List-II(Reagent used) A. 1. (1 equivalent) B. 2. C. 3. D. 4. Choose the most appropriate option given below.

The product in the above reaction is

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Dipole-dipole interactions are the only non-covalent interactions, resulting in

Given below are two statements :Statement I : and AgCN both can generate nucleophile.Statement II: KCN and AgCN both will generate nitrile nucleophile with all reaction conditions. Choose the most app

Which one of the following compounds will give orange precipitate when treated with 2,4-dinitrophenyl hydrazine ?

The oxide without nitrogen-nitrogen bond is

An organic compound "A" on treatment with benzene sulphonyl chloride gives compound . is soluble in dil. solution. Compound is

When of a substance ' is dissolved in of , it raises the boiling point by . The molar mass of the substance ' ' is ________ g . (Nearest integer). Given for is

Which one of the following is the major product of the given reaction?

The number of halogen (s) forming halic (V) acid is

The crystal field stabilisation energy (CFSE) and magnetic moment (spin - only) of an octahedral aqua complex of a metal ion are and , respectively. Identify .

The spin only magnetic moment of a divaler ion in aqueous solution (atomic number ) is ......... BM.

A chloro compound A,(i) Forms aldehydes on ozonolysis followed by the hydrolysis. (ii) When vaporised completely, of A gives of vapour at STP. The number of carbon atoms in a molecule of compound A is

Ga (atomic mass ) crystallises in a hexagonal close packed structure. The total number of voids in of is ...... . (Round off to the nearest integer).

of at and 1 atm is passed through of solution. The non-volatile solute produced is dissolved in of water. The lowering of vapour pressure of solution (assuming the solution is dilute), of ) is of , th

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : is adsorbed to a large extent than on activated charcoal. Reason R : has a higher cr

A metal surface is exposed to radiation. The threshold frequency of the metal for photoelectric current is . The velocity of ejected electron is .......... . (Nearest integer) [Use ]

In the molecule, the hybridisation of carbon and 4 respectively are

Spin only magnetic moment in BM of is

Identify and in the chemical reaction.

Given below are two statements. Statement I The value of is . Statement II Ce is more stable in state than state. In the light of the above statements, choose the most appropriate answer from the opti

The reaction of white phosphorus on boiling with alkali in inert atmosphere resulted in the formation of product . The reaction of of with excess of in aqueous medium gives mol(s) of Ag (Round off to

Which one of the following compounds is not aromatic?

of was added to of HCl. The number of unreacted HCl molecules in the solution after complete reaction is _______ (Nearest integer)

Thiamine and pyridoxine are also known respectively as :

The major product of the following reaction is

The total number of electrons in all bonding molecular orbitals of is ........ . (Round off to the nearest integer)

Hydrolysis of sucrose gives

The CORRECT order of first ionisation enthalpy is :

For a certain first order reaction of the reactant is left after . The rate constant of this reaction is ...... . (Round off to the nearest integer). [Given, , In ]

The correct decreasing order of densities of the following compounds is :

Major product P of above reaction, is :

Which of the following reagent is used for the following reaction ?

The spin only magnetic moments (in BM) for free and ions respectively are (At.No. Sc : 21, Ti : 22, V: 23)

Among the following, the aromatic compounds areChoose the correct answer from the following options.

Nitrogen can be estimated by Kjeldahl's method for which of the following compound?

Which one of the following compounds is aromatic in nature ?

When of solid is introduced into a two litre evacuated flask at of the solid decomposes into gaseous ammonia and hydrogen sulphide. The for the reaction at is . The value of x is ........... (Integer

The mole fraction of a solute in a 100 molal aqueous solution ......... (Round off to the nearest integer). [Given, atomic masses ]

The reaction rate for the reaction was measured as a function of concentrations of different species. It was observed that where, square brackets are used to denote molar concentrations. The equilibri

moles of a weak acid is dissolved in of solution. The degree of dissociation of is ...... (Round off to the nearest integer). [Neglect volume change on adding HA. Assume degree of dissociation ]

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Metallic character decreases and non-metallic character increases on moving fro

The number of stereoisomers possible for is ......... .[ox

The bond order and magnetic behaviour of ion are, respectively

The correct structures of trans-[NiBr and meridonial-[ , respectively are

Arrange the following cobalt complexes in the order of increasing crystal field stabilisation energy (CFSE) value. Complexes (A) , (B) , (C) and (D) . Choose the correct option.

Given below are two statements. Statement I The nucleophilic addition of sodium hydrogen sulphite to an aldehyde or a ketone involves proton transfer to form a stable ion. Statement II The nucleophili

of oxygen is adsorbed on of platinum metal. The volume of oxygen adsorbed per gram of the adsorbent at and in is ............ atm

A. phenyl methanamine B. N,N-dimethylaniline C. N-methyl aniline D. Benzenamine Choose the correct order of basic nature of the above amines.

Among the following, number of metal(s) which can be used as electrodes in the photoelectric cell is (i) (ii) (ii) (iv) Cs

Reaction of Grignard reagent, with followed by hydrolysis gives compound ' ' which reacts instantly with Lucas reagent to give compound . The compound is

Which one of the following metals forms interstitial hydride easily ?

is a sparingly soluble salt of molar mass and solubility . The solubility product satisfies . The value of a is ......... (Integer answer)

In the following reaction the reason why meta-nitro product also formed is

Fructose is an example of

When of benzoic acid is dissolved in of water, the freezing point of solution was found to be ). The number of benzoic acid molecules associated (assuming association) is ......... .

The oxidation states of ' in and , respectively, are:

For the cell the cell potential For the cell the cell potential . (Round off the Nearest Integer).

The major product of the following reaction, if it occurs by mechanism is

In gaseous triethyl amine the "–C–N–C–" bond angle is ________ degree.

For a given chemical reaction at the free energy change is and the enthalpy of reaction is . The entropy change of the reaction is .

The total number of amines among the following which can be synthesised by Gabriel synthesis is

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) In , isomorphous to , the metal is present in oxidation state. Reason (R) Tl met

The nature of oxides and CrO is indexed as 'X' and 'Y' type respectively. The correct set of X and Y is

absorbs light of wavelength during a transition. The octahedral splitting energy for the above complex is ......... (Round off to the nearest intger). , ]

In the above first order reaction the concentration of reduces from initial concentration 50 mol to 10 mol in 120 minutes at . The rate constant for the reaction at is . The value of is _______. Given

Which one of the following compounds contain glycosidic linkage ?

A group 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The element is

Assuming ideal behaviour, the magnitude of for the following reaction at is The value of is .......... (Integer answer) [equation] [Given, , , ]

Which among the following pair of vitamins is stored in our body relatively for longer duration?

What is ' ' in the given reaction?

Section B : Numerical Type Questions In carius method for estimation of halogens, of an organic compound gave of . The percentage of bromine in the compound is ......... (Nearest integer) [Atomic mass

Two salts and have the same value of solubility product of . The ratio of their molar solubilities i.e (Round off to the nearest integer)

In the following sequence of reactions the P is

The major product of the following chemical reaction is ?

1 molal aqueous solution of an electrolyte is ionised. The boiling point of the solution at is ........... K (Rounded off to the nearest integer). [Given, for ]

The correct pair(s) of the ambident nucleophiles is(are) A. B. C. D.

Given below are two statements. Statement I and -forms of sulphur can change reversibly between themselves with slow heating or slow cooling. Statement II At room temperature, the stable crystalline f

Match List-I with List-II.List-I (Chemicals)List-II (Use / Preparation/Constituent)(A) Alcoholic potassium hydroxide(i) Electrodes in batteries(B) (ii) Obtained by addition reaction(C) BHC (Benzene he

For a reaction of order , the unit of the rate constant is :

A source of monochromatic radiation of wavelength provides of energy in 10 seconds. When this radiation falls on the surface of sodium, electrons are ejected per second. Assume that wavelength is suff

The denticity of an organic ligand, biuret is

A molal solution of has a denisity of . The molarity of the solution is ...... (Round off to the nearest integer). [Atomic masses: ]

The calculated magnetic moments (spin only value) for species and respectively are

A proton and nucleus are accelerated by the same potential. If and denote the de-Broglie wavelengths of and proton respectively, then the value of is . The value of is ........... . (Rounded off to th

The empirical formula for a compound with a cubic close packed arrangement of anions and with cations occupying all the octahedral sites in . The value of x is ....... (Integer answer)

Primary, secondary and tertiary amines can be separated using

Which one of the following is the correct pV vs p plot at constant temperature for an ideal gas ? (p and V stand for pressure and volume of the gas respectively)

Gaseous cyclobutene isomerises to butadiene in a first order process which has a ' ' value of at . The time in minutes it takes for the isomerisation to proceed to completion at this temperature is ..

solution of conductivity shows a resistance of in a conductivity cell. If the same cell is filled with an solution, the resistance drops to . The conductivity of the solution is (Round off to the near

A reaction of mole of benzylamine with bromomethane gave of benzyl trimethyl ammonium bromide. The number of moles of bromomethane consumed in this reaction are , when (Round off to the nearest intege

The number of lone pairs of electrons on the central I atom in is _________.

Consider titration of solution versus oxalic acid solution. At the end point following burette readings were obtained. (i) (ii) (iii) (iv) (v) If the volume of oxalic acid taken was , then the molarit

In the above reaction of benzene on nitration gives of nitrobenzene. The percentage yield of nitrobenzene in the above reaction is ......... % (Round off to the nearest integer). (Given, atomic mass ,

Which one of the following is formed (mainly) when red phosphorus is heated in a sealed tube at ?

was leached with alkali to get . The solution of on passing of gas , forms . , and respectively are

The transformation occurring in Duma's method is given below The value of y is ........ . (Integer answer)

Complete combustion of of an organic compound provides of and of . The percentage composition of carbon and hydrogen in organic compound is and ...... respectively (Round off to the nearest integer).

The correct order of bond dissociation enthalpy of halogens is

Arrange the following metal complex/compounds in the increasing order of spin only magnetic moment. Presume all the three, high spin system. (Atomic numbers and .) A. B. and C.

The set having ions which are coloured and paramagnetic both is -

According to the following figure, the magnitude of the enthalpy change of the reaction A + B → M + N in is equal to ......... (Integer answer)

SECTION-BThe number of sigma bonds in is _________ .

The compound/s which will show significant intermolecular H-bonding is/are

The parameters of the unit cell of a substance are The crystal system of the substance is :

reacts with hydroxyl amine but does not give Tollen's test. Identify and .

Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (R) : Gabriel phthalimide synthesis cannot be used to prepare aromatic primary amines. R

The ionic radius of ions is . The ionic radii (in ) of and , respectively, are

The secondary valency and the number of hydrogen bonded water molecule(s) in , respectively, are

The structures of A and B formed in the following reaction are :

If the Thompson model of the atom was correct, then the result of Rutherford's gold foil experiment would have been:

and decompose via first order kinetics with half-lives min and respectively. Starting from an equimolar non-reactive mixture of and , the time taken for the concentration of to become 16 times that of

Match List-I with List-II. List-I List-II A. Sucrose (i) -D-galactose and glucose B. Lactose (ii) -D-glucose and -D-fructose C. Maltose (iii) -D-glucose and -D-glucoseChoose the correct answer from th

What is the correct order of the following elements with respect to their density ?

0.8 g of an organic compound was analysed by Kjeldahl's method for the estimation of nitrogen. If the percentage of nitrogen in the compound was found to be 42%, then __________ mL of 1 M would have b

Given below are two statements : Statement I : Hyperconjugation is a permanent effect. Statement II : Hyperconjugation in ethyl cation involves the overlapping of bond with empty orbital of other carb

Product is

Identify A in the following reaction.

In a binary compound, atoms of element form a hcp structure and those of element occupy of the tetrahedral voids of the hcp structure. The formula of the binary compound is

The concentration in a mixture of of and of solution is . The value of x is (Nearest integer) [Given, and ]

Which of the glycosidic linkage between galactose and glucose is present in lactose?

For the reaction the value of equilibrium constant is 100 at . If the initial concentration of all the three species is each, then the equilibrium concentration of is . The value of is ________ . (Nea

A reaction has a half-life of . The time required for completion of the reaction is ......... min (Round off to the nearest integer). [Use , ]

Identify the incorrect statement from the following

Match List - I with List - II : List-I (Drug) List-II (Class of Drug) (a) NaOH (i) Acidic (b) (ii) Basic (c) (iii) Amphoteric (d) (e) Choose the most appropriate answer from the options given below

An empty LPG cylinder weight . When full, it weight and shows a pressure of . In the course of use at ambient temperature, the mass of the cylinder is reduced to . The final pressure inside ofthe cyli

A certain orbital has and . The number of radial nodes in this orbital is (Round off to the nearest integer).

The gas phase reaction at has . The equilibrium constant for this reaction is .......... . (Round off to the nearest integer). [Use : ] [ ] [ ]

If the standard molar enthalpy change for combustion of graphite powder is ,the amount of heat generated on combustion of . of graphite powder is _______ . (Nearest integer)

Data given for the following reaction is as follows. Substance FeO(s) -266.3 57.49 0 5.74 Fe(s) 0 27.28 CO(g) -110.5 197.6 The minimum temperature in K at which the reaction becomes spontaneous is....

Which one of the following statements is not true about enzymes ?

For water at and 1 bar, (Round off to the Nearest Integer) [Use : [Assume volume of is much smaller than volume of Assume treated as an ideal gas]

The molar solubility of in solution is . The value of is ......... (Nearest integer) (Given; The solubility product of is ).

A solution is in and in . Solid is gradually added to it Assuming that the addition does not change in volume and and Select correct statement from the following:

Match List - I with List - II : List - I List - II (a) Carbon monoxide (i) Carcinogenic (b) Sulphur dioxide (ii) Metabolized bypyrus plants (c) Polychlorinated biphenyls (iii) Haemoglobin (d) Oxides o

In the above reaction, the reagent ' is

The product and formed in above reactions are

The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280,860 and mol respectively. The molar conductivity at infinite dilution of barium sulphate

Acidic ferric chloride solution on treatment with excess of potassium ferrocyanide gives a prussian blue coloured colloidal species. It is

At 20°C, the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of benzene in the vapour phase at 20°C above an equimolar mixture of benzene and methyl benz

moles of is introduced in a closed reaction vessel at . The number of moles of at equilibrium is _______ (Round off to the Nearest Integer)

The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. Then the value of X + Y is _______.

Consider the above reaction. The percentage yield of amide product is (Round off to the nearest integer). (Given : Atomic mass : , )

Given below are two statements. Statement I The identification of is carried out by dimethyl glyoxime in the presence of . Statement II The dimethyl glyoxime is a bidentate neutral ligand. In the ligh

is a covalent diatomic molecule, where and are second row elements of periodic table. Based on molecular orbital theory, the bond order of is . The total number of electrons in is .......... (Round of

Which one of the following phenols does not give colour when condensed with phthalic anhydride in presence of conc. ?

Consider the reaction, . The temperature at which and , is ............ K. (Round off to the nearest integer). [Assume all gases are ideal and bar, ].

Consider the above reaction and identify "Y"

of propane is completely reacted with of oxygen. The mole fraction of carbon dioxide in the resulting mixture is . The value of x is ......... (Nearest integer) [Atomic weight : ]

The oxidation states of nitrogen in , and are in the order of

The number of 4f electrons in the ground state electronic configuration of is [Atomic number of Gd is 64.]

Choose the incorrect statement.

The compound 'A' is a complementary base of __________ in DNA stands.

Which one of the following lanthanoids does not form ? [ is lanthanoid metal]

Number of Cl = O bonds in chlorous acid, chloric acid and perchloric acid respectively are :

Excess of isobutane on reaction with in presence of light at gives which one of the following, as the major product?

Number of bridging CO ligands in is ............ .

consider the above reaction, and choose the correct statement :

The following data was obtained for chemical reaction given below at . [NO] mol L mol Rate A. B. C. The order of the reaction with respect to NO is .......... . [Integer answer]

Experimentally reducing a functional group cannot be done by which one of the following reagents ?

The potassium ferrocyanide solution gives a prussian blue colour, when added to

An exothermic reaction has an activation energy . If energy change during the reaction is then the activation energy for the reverse reaction in is ............

Match List-I and List-II.List IList IIA. 1. Linkage isomerismB. 2. Solvate isomerismC. 3. Co-ordination isomerismD. 4. Optical isomerism

Which of the following is Lindlar catalyst?

For a chemical reaction, the entropy change depends on the temperature (in K) as . Minimum temperature at which it will become spontaneous is ............ .

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Treatment of bromine water with propene yields 1-bromopropan-2-ol. Reason (R) At

Which one of the following aqueous solutions will exhibit the largest freezing point depression?

The correct order of electron gain enthalpy is

Using the provided information in the following paper chromatogram. The calculated value of

When of lead nitrate solution is mixed with of chromic sulphate solution, ........ moles of lead sulphate precipitate out. (Round off to the nearest integer).

Compound(s) which will liberate carbon dioxide with sodium bicarbonate solution is/are

Deficiency of vitamin causes

The electrode potential of of -series elements shows positive value for

Match List-I with List-II. List-I (Parameter) List-II (Unit) A. Cell constant B. Molar conductivity 2. Dimensionless C. Conductivity D. Degree of dissociation of electrolyte Choose the most appropriat

In chromatography technique, the purification of compound is independent of

The overall stability constant of the complex ion is . The overall dissociations constant is . Then, y is .......... . (Nearest integer)

The density of solution is . The molality of this solution is ________ . (Round off to the Nearest Integer) [Use : Atomic masses : Density of

Which one of the following correctly represents the order of stability of oxides, ?

The structure of product C, formed by the following sequence of reactions is

An unsaturated hydrocarbon on ozonolysis gives . Compound when warmed with ammonical silver nitrate forms a bright silver mirror along the sides of the test tube. The unsaturated hydrocarbon is

Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide ?

The number of chlorine atoms in of chlorine gas at STP is . (Round off to the nearest integer). [Assume chlorine is an ideal gas at STP ]

Assume a cell with the following reaction for the above reaction is __________ V. (Nearest integer) Given :

Given below are two statements. Statement I Bohr's theory accounts for the stability and line spectrum of ion. Statement II Bohr's theory was unable to explain the splitting of spectral lines in the p

Which one of the following species responds to an external magnetic field?

In an equilibrium mixture, the partial pressures are ; and . The equilibrium constant ______ . (Nearest integer)

The number of species having non-pyramidal shape among the following is (i) (ii) (iii) (iv)

The solubility of AgCN in a buffer solution of is . The value of is...... . [Assume : No cyano complex is formed; and

of an octahedral metal complex with formula on reaction with excess of gives of AgCl. The denticity of ligand L is ......... .(Integer answer)

The unit of the van der Waals' gas equation parameter 'a' in is

The reaction is an elementary reaction. For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3 , the rate of the reaction increases by a factor of (Round

The water soluble protein is :

Spin only magnetic moment of an octahedral complex of in the presence of a strong field ligand in BM is :

The number of optical isomers possible for is ...

The given reaction can occur in the presence of : (a) Bromine water (b) in (c) (d) in Choose the correct answer from the options givenbelow :

The correct order of stability of given carbocation is :

Match the list-I with list- IIList-IList-II(A) Chlorophyll(i) Ruthenium(B) Vitamin (ii) Platinum(C) Anticancer drug(iii) Cobalt(D) Grubbs catalyst(iv) MagnesiumChoose the most appropriate answer from

In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is _____ . (Round off to the nearest integer)

Which of the following is an aromatic compound?

Section B : Numerical Type Questions Consider the following cell reaction, The value of is at . If , the standard entropy change in (Nearest integer) [Given, Faraday constant ]

The sum of oxidation states of two silver ions in complex is ........ .

The incorrect statement regarding the structure of is

Consider the above reaction, the product ' and ' respectively are

gas is bubbled through water during a soft drink manufacturing process at . If exerts a partial pressure of bar then of would dissolve in of water. The value of is ________. (Nearest integer) (Henry's

The number of geometrical isomers found in the metal complexes , and respectively, are :

The number of nitrogen atoms in a semicarbazone molecule of acetone is _________.

The product in the above reaction is

Consider the complete combustion of butane, the amount of butane utilized to produce of water is _______ . (in nearest integer)

Five moles of an ideal gas at is expanded isothermally from an initial pressure of to against at constant external pressure . The heat transferred in this process is ......... kJ . (Rounded off to the

Find and in the following reactions:

A certain orbital has no angular nodes and two radial nodes. The orbital is

When of an organic compound was analyzed using Carius method for estimation of bromine, of was obtained. The percentage of bromine in the organic compound is ________.(Nearest integer) [Atomic mass :

The number of chlorine atoms in of chlorine gas at STP is . (Round off to the nearest integer). [Assume chlorine is an ideal gas at STP bar ]

The hybridisation and magnetic nature of and , respectively are

Which of the following reaction does not involve Hoffmann bromamide degradation?

Which of the following compounds does not exhibit resonance?

In which of the following pairs, the outer most electronic configuration will be the same?

A non-reducing sugar hydrolyses to give two reducing monosaccharides. Sugar is

The number of significant figures in is ............

Complete combustion of of ethane gives molecules of water. The value of is _________ (Round off to the nearest integer). [Use : ; Atomic masses in :

Which one of the following group-15 hydride is the strongest reducing agent?

The coordination number of an atom in a body centered cubic structure is ............ .[Assume that the lattice is made up of atoms.]

A car tyre is filled with nitrogen gas at 35 psi at . It will burst if pressure exceeds 40 psi. The temperature in at which the car tyre will burst is ........ (Rounded-off to the nearest integer).

Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?

For a first order reaction, the ratio of the time for completion of a reaction to the time for completion is.............. (Integer answer)

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) A simple distillation can be used to separate a mixture of propanol and propanon

For a chemical reaction , it was found that concentration of is increased by in 30 min. The average rate of the reaction is _________ . (in nearest integer)

The number of photons emitted by a monochromatic (single frequency) infrared range finder of power and wavelength of , in second is . The value of x is ......... (Nearest integer)

Which among the following is the strongest acid ?

Staggered and eclipsed conformers of ethane are :

The stereoisomers that are formed by electrophilic addition of bromine to trans-but - 2 - ene is/are

Identify in the given chemical reaction.

Identify in the following chemical reaction.

In basic medium oxidises to form and itself changes into . The volume of required to react with of is ........... (Rounded off to the nearest integer).

Consider the above reaction and identify the Product P :

3 moles of metal complex with formula gives 3 moles of silver chloride on treatment with excess of silver nitrate. The secondary valency of Co in the complex is _____. (Round off to the nearest intege

Consider the given reaction, the product 'X' is:

The Born-Haber cycle for is evaluated with the following data : for for , for ; for , for The magnitude of lattice enthalpy of in is . (Nearest integer)

Number of electrons present in 4f orbital of ion is __________ . (Given Atomic No. of Ho = 67)

Outermost electronic configuration of a group 13 element, , is . The electronic configuration of an element of p-block period-five placed diagonally to element, E is :

Compound with molecular formula can show

In the reaction of hypobromite with amide, the carbonyl carbon is lost as

Consider the above reaction, the Product "P" is :

The secondary structure of protein is stabilised by

equimolar mixture of and contains of and y of . The value of is_______ g. (Nearest integer)

The total number of unpaired electrons present in and is

For the following graphs, Choose from the options given below, the correct one regarding order of reaction is :

In the following molecules, hybridisation of carbon and respectively are

Considering the above chemical reaction, identify the product ' '.

The magnitude of the change in oxidising power of the couple is , if the concentration is decreased from to at . (Assume concentration of and to be same on change in concentration). The value of is ..

Which one of the following complexes is violet in colour?

Which one of the following gives the most stable diazonium salt?

Identify products and .

The above reaction is carried out in a vessel starting with partial pressure , and . When the reaction is complete, the total pressure in the reaction vessel is _____ m bar. (Round off of the nearest

A peptide synthesised by the reactions of one molecule each of glycine, leucine, aspartic acid and histidine will have............ peptide linkages.

If the activation energy of a reaction is , the fraction of molecules at , having enough energy to react to form products is . The value of is ........... . (Rounded off to the nearest integer) Use,

The major product formed in the following reaction is

Compound A is converted to B on reaction with and KOH. The compound B is toxic and can be decomposed by C. A, B and C respectively are :

If the conductivity of mercury at is and the resistance of a cell containing mercury is , then the cell constant of the cell is . The value of x is........ .(Nearest integer)

Complete combustion of of an oxygen containing compound gave of and of . The percentage of oxygen in the organic compound is

To synthesise 1.0 mole of 2-methylpropan-2-ol from Ethylethanoate ________ equivalents of reagent will be required. (Integer value)

Assertion (A) Enol form of acetone exists in quantity. However, the enol form of acetyl acetone exists in approximately quantity. Reason (R) Enol form of acetyl acetone is stabilised by intramolecular

Which pair of oxides is acidic in nature?

Number of amphoteric compounds among the following is

Given below are two statements: One is labelled as Assertion A and the other labelled as Reason R. Assertion A During the boiling of water having temporary hardness, is converted to . Reason The solub

In order to prepare a buffer solution of 5.74, sodium acetate is added to acetic acid. If the concentration of acetic acid in the buffer is , the concentration of sodium acetate in the buffer is .....

salt reacts with potassium iodide to give

The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-complex of is (Round off to the nearest integer).

For water at and 1 bar pressure. Assuming that water vapour is an ideal gas that occupies a much larger volume than liquid water, the internal energy change during evaporation of water is ......... .

Ceric ammonium nitrate and /alc. are used for the identification of functional groups present in and respectively.

The ionisation enthalpy of formation from is , while the electron gain enthalpy of is . Given, the lattice enthalpy of is . The energy for the formation of ionic solid is .

Given below are two statements: Statement I can be used for oxidation of aldehydes and ketones. Statement II Aqueous solution of EuSO is a strong reducing agent. In the light of the above statements,

The major product (P) in the following reaction is :

of a biopolymer dissolved in a water at exerted an osmotic pressure of bar The molar mass of the biopolymer is _____ . (Round off to the Nearest Integer) [Use : bar

2 molal solution of a weak acid HA has a freezing point of . The degree of dissociation of this acid is ......... . (Round off to the nearest integer). [Given : Molal depression constant of water , fr

An organic compound gives dark green colouration with ferric chloride. On treatment with and KOH, followed by acidification gives compound B. Compound B can also be obtained from compound C on reactio

Which of the following forms of hydrogen emits low energy particles ?

Identify the elements and using the ionisation energy values given below.Ionisation energy (Ist) X4954563Y711450

The vapour pressures of and at are and respectively. If and are mixed such that the mole fraction of in themixture is , then the mole fraction of in the vapour phase is . The value of is ________.(Nea

Which of the following is correct structure of tyrosine?

An organic compound 'A' on treatment with yields compound ' . Compound 'A' also yields compound 'B' an ozonolysis. Compound 'A' is :

In the given reaction 3-Bromo-2, 2 -dimethyl butane Product A is:

The difference between bond orders of and is where _______. (Round off to the Nearest Integer)

Which of the following is a false statement?

Which of the following are isostructural pairs? A. and B. and C. and D. and

The number of non-ionisable hydrogen atoms present in the final product obtained from the hydrolysis of is

Given below are two statements. Statement I Colourless cupric metaborate is reduced to cuprous metaborate in a luminous flame. Statement II Cuprous metaborate is obtained by heating boric anhydride an

Electromagnetic radiation of wavelength is just sufficient to ionise the atom of metal . The ionisation energy of metal in is ......... .(Rounded off to the nearest integer)

What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25 , in it's aqueous solution?

The formula of a gaseous hydrocarbon, which requires 6 times of its own volume of for complete oxidation and produces 4 times its own volume of is . The value of is ........... .

CHEMISTRY SECTION-A Which one of the following pairs of isomers is an example of metamerism ?

The major product (A) formed in the reaction given below is

The equilibrium constant for the reaction is . At equilibrium, the partial pressure of is _____ atm. (Round off to the nearest integer)

Match List-I with List-II. List-I A. B. C. D. List-II (i) Wurtz reaction (ii) Sandmeyer reaction (iii) Fittig reaction (iv) Gattermann reaction Choose the correct answer from the options given below.

The characteristics of elements and with atomic numbers, respectively, 33, 53 and 83 are

Which of the following compounds will provide a tertiary alcohol on reaction with excess of followed by hydrolysis?

For the reaction, , the value of the equilibrium constant at and 1 atm is equal to . The value of for the reaction at and in is where is ......... (Rounded off to the nearest integer) and

Sulphurous acid has and . The of is (Round off to the nearest integer)

Given below are two statements. Statement I According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as ther

Match List-I with List-II. List-I (Name of oxo acid)List-II (Oxidationstate of P)A. Hypophosphorus acid(i) B. Orthophosphoric acid(ii) C. Hypophosphoric acid(iii) D. Orthophosphorus acid(iv) (v) Choos

2,4 -DNP test can be used to identify

Consider the above reaction where of benzoic acid is used to get of -bromo benzoic acid. The percentage yield of the product is ......... . (Round off to the nearest integer). [Given : Atomic masses :

The hybridisations of the atomic orbitals of nitrogen in and respectively are.

The major product in the above reaction is

Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are

Which one of the following lanthanides exhibits oxidation state with diamagnetic nature ? (Given, Z for )

At of iron reacts with to form . The evolved hydrogen gas expands against a constant pressure of 1 bar. The work done by the gas during this expansion is ......J. (Round off to the nearest integer) [G

In which one of the following sets all species show disproportionation reaction

In the following sequence of reactions a compound A, (molecular formula ) with a straight chain structure gives a carboxylic acid. A is

Given below are two statements: Statement I -nitrophenol is steam volatile due to intramolecular hydrogen bonding. Statement II o-nitrophenol has high melting due to hydrogen bonding. In the light of

Two flasks I and II shown below are connected by a valve of negligible volume. When the valve is opened, the final pressure of the system in bar is . The value of x is ........... .(Integer answer) [A

The volume occupied by of acetylene gas at and pressure is ...... L (Rounded off to the nearest integer). Given, atm

The product formed in the first step of the reaction of with excess is

The resistance of a conductivity cell with cell constant , containing at is . The molar conductivity of solution at in is ......... .(Integer answer)

Out of the following isomeric forms of uracil, which one is present in RNA?

The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at is and the activation energy, , the rate constant at is ...... (Round off to the nearest integer)

The correct order of ionic radii for the ions, is

Which among the following species has unequal bond lengths ?

Indicate the complex/complex ion which did not show any geometrical isomerism.

For the reaction, , when and , the magnitude of at for the reaction is ......... . (Nearest integer)

An LPG cylinder contains gas at a pressure of 300 at . The cylinder can withstand the pressure of . The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting o

Three moles of get precipitated when one mole of an octahedral co-ordination compound with empirical formula reacts with excess of silver nitrate. The number of chloride ions satisfying the secondary

Maleic anhydride Maleic anhydride can be prepared by :

In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula per aldehyde group to form silver mirror is (Round off to the nearest integer).

In the above first order reaction the initial concentration of is at 318 . The concentration of after 1 hour was . The rate constant of the reaction at is s _______ (Nearest integer) Given :

A system does 200 J of work and at the same time absorbs 150 J of heat. The magnitude of the change in internal energy is __________ J. (Nearest integer)

When of an aqueous solution of was titrated in acidic medium, equal volume of of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of in is . (Nearest

In the given chemical reaction, colours of the and ions, are respectively

Out of the following, which type of interaction is responsible for the stabilisation of -helix structure of proteins?

For the reaction, , the plot of is given belowThe temperature at which the rate constant of the reaction is is ......... K (Rounded off to the nearest integer). [Given : The rate constant of the react

The standard enthalpies of formation of and are and respectively. For the reaction, the standard reaction enthalpy . (Round off to the nearest integer).

The incorrect statement among the following is

The solubility product of is . The solubility of lead iodide in molar solution of lead nitrate is . The value of is ....... (Rounded off to the nearest integer). [Given, : ]

What is the major product "P" of the following reaction ?

of ethylene glycol dissolved in of water. The freezing point of the solution is ...............K. (Nearest integer) [Use, molal freezing point depression constant of water , Freezing point of water an

In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment? (i) (ii) (iii) (iv)

In the following sequence of reactions, The compounds B and C respectively are

Which one of the following statements for D.I. Mendeleeff, is incorrect?

The number of ionisable hydrogens present in the product obtained from a reaction of phosphorus trichloride and phosphonic acid is

of compound was used to make of its aqueous solution. The molarity of the solution in is . The value of is ......... (Rounded off to the nearest integer).

In which one of the following molecules strongest back donation of an electron pair from halide to boron is expected?

In the chemical reactions given above and respectively are:

The number of stereoisomers possible for 1, 2 - dimethylcyclopropane is

The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is If the rate of appearance of is at a particular time, the rate of disappearanc

mixture of and some inert impurities was first titrated with using phenolphthalein as an indicator, of was required at the end point. After this methyl orange was added and titrated. of same was requi

For the following

The value of magnetic quantum number of the outermost electron of ion is

The number of acyclic structural isomers (including geometrical isomers) for pentene are ____

Sucrose hydrolyses in acid solution into glucose and fructose following first order rate law with a half-life of at . After , the fraction of sucrose remaining is . The value of is ......... (Rounded

Section B : Numerical Type Questions is an interhalogen T - shaped molecule. The number of lone pairs of electron on A is......... .(Integer answer)

Arrange the following conformational isomers of n -butane in order of their increasing potential energy

When of an aqueous solution of ions was titrated in the presence of dil using diphenylamine indicator, of solution of was required to get the end point. The molarity of the solution containing ions is

Which purification technique is used for high boiling organic liquid compound (decomposes near its boiling point)?

The major products A and B in the following set of reactions are

The first ionisation energy of magnesium is smaller as compared to that of elements and , but higher than that of . The elements and , respectively, are

If of copper sulphate . is dissolved in deionised water to make of solution. The concentration of the copper sulphate solution is . The value of x is ......... . [Atomic masses , ]

Match List-I with List-II. List-I(Metal ion) List-II(Group in qualitative analysis) 1. Group-III 2. Group - IIA 3. Group - IV 4. Group - IIB Choose the most appropriate answer from the options given b

For the reaction, (Round off to the nearest integer). [Given : Bond enthalpies in :

Which of the following reaction(s) will not give -aminoazobenzene?

The weighed out to make of an aqueous solution containing per is ......... g. (Rounded off to the nearest integer) [Given : Atomic weight in ; .

Copper reduces into and depending upon the concentration of in solution. (Assuming fixed and ), the concentration at which the thermodynamic tendency for reduction of into and by copper is same is . T

Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens?

Given below are two statements. Statement I Retardation factor can be measured in metre/centimetre. Statement II value of a compound remains constant in all solvents. Choose the most appropriate answe

The major product of the following reaction is

The unit cell of copper corresponds to a face centered cube of edge length with one copper atom at each lattice point. The calculated density of copper in is ......... [Molar mass of ;

Consider the given reaction, the product A is

Identify the reagent(s) ' ' and condition(s) for the reaction:

in its ground state electronic configuration has x completely filled orbitals with . The value of x is

The solubility of in water is . Its solubility in solution is ........ . (Round off to the nearest integer) (Assume that, solubility is much less than )

The correct set from the following in which both pairs are in correct order of melting point is

Consider the above reaction, the major product 'P' is:

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Barium carbonate is insoluble in water and is highly stable. Reason (R) The ther

The correct order of reactivity of the given chlorides with acetate in acetic acid is

Identify the element for which electronic configuration in oxidation state is [Ar] .

Match List-I with List-II. List-I List-II A. 1. B. 2. C. 3. D. 4. Choose the correct answer from the options given below.

For the reaction given below. The compound which is not formed as a product in the reaction is a

The number of moles of , that will be utilised in Dumas method for estimation nitrogen in a sample of ofN, N- dimethylaminopentane is (Nearest integer)

In mild alkaline medium, thiosulphate ion is oxidised by to " . The oxidation state of sulphur in " is ......... .

An aqueous solution of was heated with excess sodium cyanide in presence of strong oxidizing agent to form . The total change in number of unpaired electrons on metal centre is _______.

Value of for the equilibrium reaction at is . The for this reaction at same temperature is _______. (Nearest integer)

Which one of the following reactions will not form acetaldehyde?

Given below are the statements about diborane (a) Diborane is prepared by the oxidation of with (b) Each boron atom is in sp hybridized state (c) Diborane has one bridged 3 centre-2-electron bond (d)

Given below are two statements. Statement I Potassium permanganate on heating at forms potassium manganate. Statement II Both potassium permanganate and potassium manganate are tetrahedral and paramag

The average bond energy in of is ........... (Rounded off to the nearest integer) [Given, the values of standard enthalpy of formation of and are , 275 and respectively. ]

The total number of unpaired electrons present in the complex is________.

The common positive oxidation states for an element with atomic number 24 , are

Among the following, the number of halide(s) which is/are inert to hydrolysis is

Match List-I with List-II. List-I(Electronicconfiguration ofelements) List-II in A. (i) 801 B. (ii) 899 C. (iii) 1314 D. (iv) 1402Choose the most appropriate answer from the options given below.

Given below are two statements Statement I Ethyl pent-4-yn-oate on reaction with gives a 3° alcohol. Statement II In this reaction, one mole of ethyl pent-4-yn-oate utilizes two moles of . In the ligh

considering the above reaction, the major product among the following is

According to Bohr's atomic theory, I. kinetic energy of electron is II. the product of velocity of electron and principal quantum number III. frequency of revolution of electron in an orbit is IV. cou

Which of the following reagent is suitable for the preparation of the product in the above reaction?

These are physical properties of an element. A. Sublimation enthalpy B. Ionisation enthalpy C. Hydration enthalpy D. Electron gain enthalpy The total number of above properties that affect the reducti

The incorrect expression among the following is

A home owner uses of methane gas, assume is an ideal gas) in a year to heat his home. Under the pressure of atm and , mass of gas used is . The value of is _______ (Nearest integer) Given

Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of is ............... . (Integer answer) (i) (ii) (iii) (iv)

The number of f - electrons in the ground state electronic configuration of is ......... . (Nearest integer)

Identify the species having one -bond and maximum number of canonical forms from the following:

A ball weighing is moving with a velocity of . If the uncertainity in its velocity is , then the uncertainty in its position is (Rounded off to the nearest integer). [Given, ]

When light of wavelength falls on a metal of threshold energy , the de-Broglie wavelength of emitted electrons is ...... . [Round off to the nearest integer] [Use:

For the given reaction

A 1 molal solution has a degree of dissociation of . Its boiling point is equal to that of another solution which contains 18.1 weight per cent of a non-electrolytic solute . The molar mass of is ....

Assuming that is completely ionised in aqueous solution under the given conditions the concentration of ions in aqueous solution of at is __________ . (Nearest integer)

Consider the sulphides , As and . Number of these sulphides soluble in is

The conductivity of a weak acid HA of concentration is . If the ionization constant of is equal to ________ . (Round off to the Nearest Integer)

During which of the following processes, does entropy decrease? A. Freezing of water to ice at . B. Freezing of water to ice at . C. D. Adsorption of and lead surface. E. Dissolution of in water.

The Azimuthal quantum number for the valence electrons of ion is _______. (Atomic number of Ga = 31)

Which one of the following reactions does not occur ?

Consider the above reaction sequence, Product "A" and Product "B" formed respectively are :

An amine on reaction with benzene sulphonyl chloride produces a compound insoluble in alkaline solution. This amine can be prepared by ammonolysis of ethyl chloride. The correct structure of amine is

Match List-I with List-II. List-I (Property) List-II (Example) A.Diamagnetism 1. MnO B.Ferrimagnetism C. Paramagnetism D. Antiferromagnetism Choose the most appropriate answer from the options given b

Given below are two statements. Statement I Frenkel defects are vacancy as well as interstitial defects. Statement II Frenkel defect leads to colour in ionic solids due to presence of F - centres. Cho

Which one of the following is correct structure for cytosine ?

The ionic radii of and respectively are and , while the covalent radius of is The correct statement for the ionic radius of from the following is :

Which of the following is correct structure of -anomer of maltose?

The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparation, of the virus is inactivated. The rate constant for viral inactivation is ___

Reagent, 1-naphthylamine and sulphanilic acid in acetic acid is used for the detection of

The stepwise formation of is given below: [equation] [equation] [equation] [equation] The value of stability constants and are and respectively. The overall equilibrium constants for dissociation of i

If a compound dissociates to the extent of in an aqueous solution, the molality of the solution which shows a rise in the boiling point of the solution is .......... molal. (Rounded off to the nearest

The correct options for the products A and B of the following reactions are

Choose the correct name for compound given below

of molal aqueous solution of sucrose can be cooled up to before freezing. The amount of ice (in g) that will be separated out is .......... . (Nearest integer) [Given, ]

The diazonium salt of which of the following compounds will form a coloured dye on reaction with -naphthol in ?

The ratio of number of water molecules in Mohr's salt and potash alum is ........ .(Integer answer)

The correct sequential addition of reagents in the preparation of 3 - nitrobenzoic acid from benzene is

Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible reaction:

A 50 watt bulb emits monochromatic red light of wavelength of . The number of photons emitted per second by the bulb is . The value of x is ...... [Given, and ]

The plots of radial distribution functions for various orbitals of hydrogen atom against ' ' are given below.The correct plot for -orbital is

For the first order reaction mole of reactant A gives moles of B after 100 minutes. The half life of the reaction is ...... min. (Round off to the nearest integer). [Use : Properties of logarithms : ;

Match List -I with List II.List-I (Industrial process)List-II (Application)A. Haber's process(i) synthesisB. Ostwald's process(ii) Aluminium extractionC. Contact process(iii) synthesisD. Hall-Heroult

Emf of the following cell at in is The value of is .......... . (Rounded off to the nearest integer). [Given, , ]

A certain gas obeys . The value of is The value of is ............ ( compressibility factor)

The correct order of intensity of colors of the compounds is:

Identify correct A, B and C in the reaction sequence given below.

Given below are two statements : One is labelled as Assertion (A) and other is labelled as Reason . Assertion (A) Sucrose is a disaccharide and a non-reducing sugar. Reason (R) Sucrose involves glycos

is doped with mole per cent of 2 . The number of cationic vacancies in of KBr crystal is .........10 (Round off to the nearest integer). [Atomic mass : ,

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to . The value of is .......... ( is radius of Bohr's orbit) (Nearest integer) [Given, ]

In the above reactions, the enzyme and enzyme respectively are

Identify in the given reaction.

The rate constant of a reaction increases by five times on increase in temperature from to . The value of activation energy in is ........ (Rounded off to the nearest integer)

According to molecular orbital theory, the species among the following that does not exist is

Given below are two statements.Statement I In the titration between strong acid and weak base methyl orange is suitable as an indicator. Statement II For titration of acetic acid with phenolphthalein

The addition of dilute to salt solution will give

Given below are two statements : Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom. Statement II : Bohr's model of hydrogen atom contradicts Heisenberg'

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Synthesis of ethyl phenyl ether may be achieved by Williamson synthesis. Reason

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) Size of ion is less than ion. Reason (R) The above is a consequence of the lanth

Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endothermic reaction?

The correct order of acid character of the following compounds is Options

The structure of the starting compound used in the reaction given below is

At , the enthalpy of fusion of a solid is and the enthalpy of vaporisation of the liquid is . The enthalpy of sublimation of the substance in is ________ . (in nearest integer)

The molarity of the solution prepared by dissolving of oxalic acid in of water in is . The value of x is ......... (Nearest integer) [Atomic mass ]

The correct statement about is

Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50% of the tetrahedral voids are also occupied by carbon at

The pressure exerted by a non-reactive gaseous mixture of of methane and of carbon dioxide in a vessel at is ...... kPa (Round off to the nearest integer) (Assume gases are ideal, Atomic mass, C: )

When of solution is mixed with of solution, the increase in temperature of the final solution is . (Round off to the nearest integer). [Use : Specific heat of density of Assume no change in volume of

Match List-I and List-II. List-I List-II A. Valium 1. Antifertility drug B. Morphine 2. Pernicious anaemia C. Norethindrone 3. Analgesic D. Vitamin 4. TranquiliserChoose the correct answer from the op

Which one of the following reactions will not yield propionic acid?

of an organic acid is separately dissolved in of benzene and of acetone . The acid is known to dimerise in benzene but remain as a monomer in acetone.The boiling point of the solution in acetone incre

The oxygen dissolved in water exerts a partial pressure of in the vapour above water. The molar solubility of oxygen in water is ..... . (Round off to the nearest integer). [Given, Henry's law constan

The correct structures of A and B formed in the following reactions are

An accelerated electron has a speed of with an uncertainty of . The uncertainty in finding its location while in motion is . The value of is __________ (Nearest integer) [Use mass of electron ,

The set that represents the pair of neutral oxides of nitrogen is

The correct shape and I-I-I bond angles respectively in , ion are

In the above reactions, product and product respectively are:

For the reaction A → B, the rate constant k (in ) is given by .The energy of activation in is.......(Nearest integer) [Given : ]

The major product of the following reaction is

The major products formed in the following reaction sequence A and B are

Select the correct statements. (A) Crystalline solids have long range order. (B) Crystalline solids are isotropic. (C) Amorphous solid are sometimes called pseudo solids. (D) Amorphous solids soften o

A copper complex crystallising in a CCP lattice with a cell edge of has been revealed by employing X-ray diffraction studies. The density of a copper complex is found to be . The molar mass of copper

of solution is titrated against solution. The following titre values were obtained in 5 readings. , and based on these readings and convention of titrimetric estimation of concentration of solution is

A aqueous solution of has a conductance of when measured in a cell constant . The molar conductivity of this solution is . (Round off to the nearest integer)

Isotope(s) of hydrogen which emits low energy particles with value > 12 years is/are

Which one of the following metal complexes is most stable?

The number of compound(s) given below which contain(s) - group is .......... (i) Sulphanilic acid (ii) Picric acid (iii) Aspirin (iv) Ascorbic acid

The number of bonds present in sulphurous acid, peroxodisulphuric acid and pyrosulphuric acid, respectively are

Carbylamine test is used to detect the presence of primary amino group in an organic compounD. Which of the following compound is formed when this test is performed with aniline?

Given below are two statements: Statement I A mixture of chloroform and aniline can be separated by simple distillation. Statement II When separating aniline from a mixture of aniline and water by ste

Which one among the following resonating structures is not correct?

Let be a continuous function. Then, is equal to

Let be the line of intersection of planes and . If is the foot of perpendicular on from the point , then thevalue of is equal to :

The value of is

Let . If and be the greatest integral part of . Then, is equal to ............. .

The function

Two fair dice are thrown. The numbers on them are taken as λ and μ , and a system of linear equations and is constructed. If p is the probability that the system has a unique solution and is the proba

A fair die is tossed until six is obtained on it. Let X be the number of required tosses, then the conditional probability is

If , then the value of is equal to

is equal to

Which of the following statements is correct for the function for , such that

Let If is a identity matrix, then is equal to :

If , and , then is equal to

An ordinary dice is rolled for a certain number of times. If the probability of getting an odd number 2 times is equal to the probability of getting an even number 3 times, then the probability of get

The value of is equalto :

Let denote the greatest integer , where . If the domain of the real valued function is , then the value of is:

Let . Then, the number of elements in the set and the sum of all the elements of A is not a multiple of 3} is

The probability that a randomly selected 2 -digit number belongs to the set is a multiple of 3 is equal to

Let be the solution of the differential equation If the domain of is an open interval , then is equal to _______.

A possible value of is

In a school, there are three types of games to be played. Some of the students play two types of games, but none play all the three games. Which Venn diagram can justify the above statement?

Let be the curve obtained by the solution of differential equation . Let the curve be the solution of . If both the curves pass through , then the area enclosed by the curves and is equal to

Let be any matrix with entries from the set . The maximum number of such matrices, for which the sum of diagonal elements of is seven, is ........... .

The value of , where denotes the greatest integer is

If where C is the constant of integration, then the value of is equal to

Let be the roots of the equation and form an equilateral triangle with origin. Then, the value of is

Let be a non-negative integer. Then the number of divisors of the form "4n of the number is equal to ____ .

The distance of the point from the point of intersection of the line and the plane is

Let the acute angle bisector of the two planes and be the plane P. Then, which of the following points lies on P ?

An electric instrument consists of two units. Each unit must function independently for the instrument to operate. The probability that the first unit functions is and that of the second unit is . The

Let be a cubic polynomial with , , and has a local minima at , and has a local minima at . Then is equal to.

Let be a function defined by Then which of the following is true?

is equal

The function f(x), that satisfies the condition , is

Let the mean and variance of four numbers and be 5 and 10 respectively. Then, the mean of four numbers and is

Let P be the plane passing through the point and the line of intersection of the planes and Then which of the following points does not lie on P ?

Let the position vectors of two points and be and , respectively. Let and be two points such that the direction ratios of lines and are and , respectively. Let lines and intersect at . If the vector T

is equal to ........... .

A point z moves in the complex plane such that arag , then the minimum value of equal to

If and , then the value of is

The missing value in the following figure is

The area bounded by the curve is equal to

Let be the solution of the differential equation . If , then is equal to

The range of the function, is

is equal to

The value of the integral is equal to :

The minimum value of for which the equation has at least one solution in is

Let . Define , as , for all where is set of all integers. Then the number of such that is equal to ________.

Let and be two complex numbers such that and satisfy the equation . Then, the imaginary part of is equal to

For which of the following curves, the line is the tangent at the point

The equation of the plane passing through the point and perpendicular to the planes and , is

Let be a twice differentiable function defined on , such that and for all . If , for all , then the value of lies in the interval

If and are in arithmetic progression for a real number , then the value of the determinant

Let satisfies the equation ,for all , where If , then the value of is :

Let be a random variable such that the probability function of a distribution is given by , Then the mean of the distribution and is positive and even) respectively are:

Let [t] denote the greatest integer less than or equal to t. Let , , and . Then h is

The equation of the planes parallel to the plane which are at unit distance from the point is . If , then the positive value of is ......... .

The number of real roots of the equation is:

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

The probability that two randomly selected subsets of the set have exactly two elements in their intersection, is

Let , where . If (20) , for natural numbers and , then is equal to .............. .

The value of the definite integral is equal to:

Let denote the total number of one-one functions from a set with 3 elements to a set with 5 elements and denote the total number of one-one functions from the set to the set . Then,

Let , Then, is :

is equal to (The inverse trigonometric functions take the principal values)

If be the greatest integer less than or equal to , then is equal to:

If and its first derivative with respect to is when , where and are integers, then the minimum value of is ......... .

Consider the statistics of two sets of observations as followsSizeMeanVarianceObservation I1022Observation IIn31If the variance of the combined set of these two observations is , then the value of is

If , then is:

The integral is equal to (where C is a constant of integration)

Let be an integer, such that all the real roots of the polynomial lie in the interval . Then, is equal to ______.

Let and be two complex numbers, such that and has minimum value. Then, the minimum value of for which is real, is equal to

If the function is continuous at each point in its domain and , then is ..........

The number of real roots of the equation is :

Consider the function Where P(x) is a polynomial such that P"(x) is always a constant and P(3) = 9. If f(x) is continuous at x = 2, then P(5) is equal to ______.

Let and , be points such that the area of is . unit, then the sum of all possible values of a is

Let be a real valued function, defined on and given by Then, in which of the following intervals, function is increasing?

If , where is a constant of integration, then the ordered pair is equal to

Let be defined as . If is a differentiable function, such that , then the value of lies in the interval

If , , then at is

If , then is equal to

A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum value of n is _______.

Consider a rectangle having points in the interior of the line segments , , respectively. Let be the number of triangles having these points from different sides as vertices and be the number of quadr

The mean and standard deviation of 20 observations were calculated as 10 and respectively. It was found that by mistake one data value was taken as 25 instead of 35. If α and are the mean and standard

Consider the following system of equations where, and are real constants. Then, the system of equations

Let be a point on the plane which passes through the point . If the plane is perpendicular to the line joining the points and , then is ......... .

Let be in R. If α and β are the roots of the equation and α and γ are the roots of equation , then is equal to

Let Then the number of bijective functions such that is equal to

Let be defined as . Then is increasing function in the interval

The least positive integer n such that , is a positive integer, is

Let Then the number of possible functions such that for every and is equal to ______.

Let , where . Then which one of the following is correct?

If the foot of the perpendicular from point on the line , is , then the shortest distance between the line and line is equal to

Two squares are chosen at random on a chessboard (see figure). The probability that they have a side in common is

Which of the following is not correct for relation R on the set of real numbers?

The value of is

If a curve passes through the origin and the slope of the tangent to it at any point is , then this curve also passes through the point

The equation represents a circle with

If , then the determinant is equal to

The function is not differentiable at exactly

Let be the angle between the lines whose direction cosines satisfy the equations and . Then, the value of is

Let be defined as where is the greatest integer less than or equal to . If is continuous at , then is equal to:

Which of the following is true for that satisfies the differential equation

Let and . Consider a matrix where then

Consider the three planes , and Then, which one of the following is true?

If , and then is equal to

The number of elements in the set where I is 2 × 2 identity matrix, is

Equation of a plane at a distance from the origin, which contains the line of intersection of the planes and , is

Let be a differentiable function at with and . Then, equals

The value of the integral is (where, is a constant of integration)

The area bounded by the lines is ..........

Let the line L be the projection of the line in the plane .If d is the distance of the point from L, then is equal to

If are the distinct roots of , then is equal to

If the variance of 10 natural numbers 1,1 , is less than 10 , then the maximum possible value of is ............ .

The number of elements in the set is equal to

If , then the value of is

The students are to be divided into 3 groups and such that each group has at least one student and the group has at most 3 students. Then, the total number of possibilities of forming such groups is .

Let be the real roots of the equation, and . If the system of equations (in ) given by has non-trivial solution, then the value of is

If the mean and variance of the following data: are 9 and respectively, then is equal to:

Consider the function defined by Then, is

The distance of the point from the plane measured parallel to a line, whose direction ratios are is

Let be a quadratic polynomial with real coefficients, such that and leaves remainder 5 when it is divided by . Then, the value of is equal to

Let 'a' be a real number such that the function is increasing in and decreasing in . Then the function has a:

If , then for , the value of x lies in the interval

If is differentiable at every point of the domain, then the values of and are respectively

Let be the solution of the differential equation . 1, with . Then the value of at is equal to

If , then is equal to _____ .

The area of the region bounded by and is equal to :-

is equal to

Let and respectively be the points of local maximum and local minimum of the function . If A is the total area of the region bounded by , the X- axis and the lines and , then is equal to

If , and and Z is the set of all integers, then the number of subsets of the set is

If the domain of the function is the interval , then is equal to

Let be a function such that for every . If , then is equal to

If and denotes the greatest integer , then is equal to ........ .

There are 15 players in a cricket team, out ofwhich 6 are bowlers, 7 are batsmen and 2 arewicketkeepers. The number of ways, a team of 11players be selected from them so as to include atleast 4 bowler

Let be the solution of the differential equation , with . If the area bounded by the line , and is , then the value of is equal to

The maximum value of is

Two dices are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11 , then the probability that the sum of the numbers on the top faces is less than or equal to 8 is

If A = , B = , , and , then the inverse of the matrix is equal to

The total number of matrices having entries from the set , such that the sum of all the diagonal entries of is 9 , is equal to .........

Let be a matrix, where Let a function be defined as Then the sum of maximum and minimum values of f on is equal to:

Let , where be a twice differentiable function, such that . If be defined as , then the value of is equal to

If is given by , then the value of is:

The equation of the plane which contains the -axis and passes through the point is

If the line bisects the area enclosed by the lines and and the curve , then is equal to

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

If then the value of is

Let , where . Suppose is a matrix satisfying for some non-zero . If and , then is equal to ............. .

The area of the region is

If the curves and cut at right angles, then is equal to ............ .

Let be defined as and be defined as . Then, the composition function is

Let be a continuous function such that , for all . If and , then the value of is equal to..........

The range of for which the function , has critical points, is

A plane P contains the line and is perpendicular to the plane . Then which of the following points lies on P?

Let the mean and variance of the frequency distribution x : f : 4 4 α βbe 6 and respectively. If is changed from 8 to 7 , then the mean for the new data will be:

Let be the solution of the differentialequation then, the minimum value of is equal to:

The following system of linear equations

The equation of the line through the point and perpendicular to the line is

Let . Then is equal to

Let be the solution of the differential equation Then the area of the region bounded by the curves and in the upper half plane is:

If the equation of the plane passing through the line of intersection of the planes and the point is , then the value of is ......... .

If the curve represented by the solution of the differential equation , passes through the intersection of the lines and , then is equal to ........... .

Let M and m respectively be the maximum and minimum values of the function in , then the value of is equal to

Let be the set of all complex numbers. Let and Then the number of elements in is equal to

Let a plane P pass through the point and contain the line, . If distance of the plane from the origin is , then is equal to _________.

Let and ,where is an identity matrix of order . If , then is equal to _________.

Let be an integer. If the shortest distance between the lines and is , then the value of is ......... .

Let . Define a function If f is continuous at , then is equal to

Let slope of the tangent line to a curve at any point be given by . If the curve intersects the line at , then the value of , for which the point lies on the curve, is

If the functions are defined as and , then what is the common domain of the following functions? , where

Let the mirror image of the point with respect to the plane be . Then the value of is equal to

The least value of , where is a complex number which satisfies the inequality . , is equal to

When a missile is fired from a ship, the probability that it is intercepted is and the probability that the missile hits the target, given that it is not intercepted, is . If three missiles are fired

Let a function be defined as then the number of points in the interval where is NOT differentiable, is _______.

The system of equations , and has no solution, if is equal to

If the real part of the complex number is for , then the value of the integral is equal to:

. Then,

The vector equation of the plane passing through the intersection of the planes and and the point is

A natural number has prime factorisation given by , where and are such that and . Then, the number of odd divisors of , including 1 , is

If exists and is equal to , then the value of is ......... .

Let Q be the foot of the perpendicular from the point on the plane containing the lines and Then is equal to

If and , then the value of is equal to:

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

Let be a symmetric matrix of order 2 with integer entries. If the sum of the diagonal elements of is 1 , then the possible number of such matrices is

The value of the integral is ......... .

An online exam is attempted by 50 candidates out of which 20 are boys. The average marks obtained by boys is 12 with a variance 2. The variance of marks obtained by 30 girls is also 2 . The average ma

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

Let and . If denotes the sum of all diagonal elements of the matrix , then has value equal to

If the normal to the curve at a point is parallel to the line , then the value of is equal to.........

equal to

The value of the limit is equal to

If the curves, and , intersect each other at an angle of , then which of the following relations is true?

The value of is

If upto 100 terms, then is

Consider the integral where denotes the greatest integer less than or equal to . Then, the value of is equal to

Four dice are thrown simultaneously and the numbers shown on these dice are recorded in matrices. The probability that such formed matrices have all different entries and are non-singular, is:

All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in t

Let be the solution of the differential equation with , then is equal to:

The solutions of the equation

For real numbers and , if where is an arbitrary constant, then the value of is equal to..........

Let ] be a real matrix of order , such that , for Then, the sum of all the entries of the matrix is equal to :

The value of the integral , where denotes the greatest integer less than or equal to , is

If and , then a possible value of is

For , if , then is equal to

If and are the roots of the equation, , then the ordered pair (a, b) is

If for the complex numbers z satisfying , the maximum value of is attained at , then is equal to.

Let S be the mirror image of the point Q with respect to the plane and let be a point of this plane. Then the square of the length of the line segment SR is

Let be a plane passing through the points and . Let a vector be such that is parallel to theplane , perpendicular to and , then equals _______.

Let us consider a curve, passing through the point and the slope of the tangent to the curve at any point is given by Then

Let the foot of perpendicular from a point to the straight line be . Let a line be drawn from P parallel to the plane which meets at point . If is the acute angle between the lines and , then is equal

There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10 students can be selected from them so as to include at least 2 students from eac

Let be defined as for all , where , such that and for the maximum value of is . If , then the least value of is equal to

Let and be defined as Then, the number of possible functions , such that is

Let be defined as If is continuous at , then is equal to :

The distance of the point from the line of intersection of the planes and is

The local maximum value of the function

If , then is equal to

If , then is equal to .........

Let , where and are real numbers, such that and . If , then the value of is ........... .

If be an arbitrary point lying on a plane , which passes through the points and , then the value of expression is equal to

Let and , then the sum of all the elements of the set is equal to ______ .

Let be twice differentiable function such that for a differentiable function If has exactly five distinct roots in , then has at least:

Suppose the line lies on the plane . Then, is equal to

If Rolle's theorem holds for the function with , then ordered pair is equal to

Let a complex number be . Let another complex number be such that and . Then the area of the triangle with vertices origin, and , is equal to

Let the lines and , (here ) be normal to a circle . If the line is tangent to this circle , then its radius is

Let be a solution curve of the differential equation . If , then the value of is