Practice Questions

Q59.Given below are two statements: One is labelled as Assertion A and the other labelled as Reason R. Assertion A : Antihistamines do not affect the secretion of acid in stomach. Reason R : Antiallergic and antacid drugs work on different receptors. In the light of the above statements, choose the correct answer from the options given below: (1) A is false but R is true (2) Both A and R are true and R is the correct explanation of A (3) A is true but R is false (4) Both A and R are true but R is not the correct explanation of A .

Q59.The ratio of spin-only magnetic moment values 3 - + μeffCr ( CN ) 6 / μeffCrH2O63 is _______

Q59.A molecule undergoes two independent first order reactions whose respective half lives are 12 min and 3 min. If both the reactions are occurring then the time taken for the 50% consumption of the reactant is ______ min. (Nearest integer)

Q59.The number of incorrect statement/s from the following is ______________ A. The successive half lives of zero order reactions decreases with time. B. A substance appearing as reactant in the chemical equation may not affect the rate of reaction C. Order and molecularity of a chemical reaction can be a fractional number JEE Main 2023 (10 Apr Shift 2) JEE Main Previous Year Paper D. The rate constant units of zero and second order reaction are molL -1 s-1 and mol-1 L s-1 respectively

Q59.The d-electronic configuration of CoCl4 2 - in tetrahedral crystal field is emt2n. The sum of m and number of unpaired electrons is

Q59.At 298 K, the standard reduction potential for Cu2 + / Cu electrode is 0 . 34 V. Given : = 0 . 059 V The reduction potential at pH = 14 for the above couple KspCu(OH ) 2 = 1 × 10-20 Take 2 . 303RTF is ( - )𝑥× 10-2 V. The value of x is

Q59.The number of electrons involved in the reduction of permanganate to manganese dioxide in acidic medium is _____ .

Q60.An athlete is given 100 g of glucose (C6H12O6) for energy. This is equivalent to 1800 kJ of energy. The 50% of this energy gained is utilized by the athlete for sports activities at the event. In order to avoid storage of energy, the weight of extra water he would need to perspire is _____g (Nearest integer) Assume that there is no other way of consuming stored energy. Given : The enthalpy of evaporation of water is 45 kJ mol−1 Molar mass of C, H&O are 12.1 and 16 g mol−1 .

Q60.Number of cyclic tripeptides formed with 2 amino acids A and B is: (1) 2 (2) 3 (3) 5 (4) 4

Q60.Number of moles of AgCl formed in the following reaction is _____ . JEE Main 2023 (24 Jan Shift 1) JEE Main Previous Year Paper

Q60.In potassium ferrocyanide, there are ______ pairs of electrons in the t2g set of orbitals. 2𝑧- 3𝑖

Q60.How many of the transformation given below would result in aromatic amines? JEE Main 2023 (31 Jan Shift 1) JEE Main Previous Year Paper

Q60.The difference in the oxidation state of Xe between the oxidised product of Xe formed on complete hydrolysis of XeF4and XeF4 is 2𝑧- 3𝑖

Q60.In an oligopeptide named Alanylglycylphenyl alanyl isoleucine, the number of sp2 hybridised carbons is _____. is equal to

Q60.Total number of tripeptides possible by mixing of valine and proline is ________ .

Q61.The number of real roots of the equation x|x| −5|x + 2| + 6 = 0 , is (1) 5 (2) 4 (3) 6 (4) 3 ¯ ¯

Q61.Let 𝛼, 𝛽 be the roots of the equation 𝑥2 - √2𝑥+ 2 = 0 Then 𝛼14 + 𝛽14 is equal to (1) -64 (2) -64√2 (3) -128 (4) -128√2

Q61.Let 𝑝, 𝑞∈ℝ and (1 - √3𝑖) 200 = 2199 (𝑝+ 𝑖𝑞), 𝑖= √-1. Then, 𝑝+ 𝑞+ 𝑞2 and 𝑝- 𝑞+ 𝑞2 are roots of the equation. (1) 𝑥2 + 4𝑥- 1 = 0 (2) 𝑥2 - 4𝑥+ 1 = 0 (3) 𝑥2 + 4𝑥+ 1 = 0 (4) 𝑥2 - 4𝑥- 1 = 0

Q61.Let a ∈R and let α, β be the roots of the equation x2 + 60 41 x + a = 0. If α4 + β4 = −30, then the product of all possible values of a is _____ .

Q62.The number of ways of selecting two numbers a and b, a ∈{2, 4, 6, … … , 100} and b ∈{1, 3, 5, … … , 99} such that 2 is the remainder when a + b is divided by 23 is (1) 186 (2) 54 (3) 108 (4) 268 JEE Main 2023 (30 Jan Shift 2) JEE Main Previous Year Paper

Q62.For α, β, z ∈C and λ > 1 , if √λ −1 is the radius of the circle |z −α|2 + |z −β|2 = 2λ, then |α −β| is equal to _____.

Q62.For three positive integers 𝑝, 𝑞, 𝑟, 𝑥𝑝𝑞2 = 𝑦𝑞𝑟= 𝑧𝑝2𝑟 and 𝑟= 𝑝𝑞+ 1 such that 1 3, 3log𝑦𝑥, 3 log𝑧𝑦, 7log𝑥𝑧 are in A.P. with common difference 2. The 𝑟- 𝑝- 𝑞 is equal to (1) 2 (2) 6 (3) 12 (4) -6

Q62.If the set {Re ( 2−3z+5zz−z+zz ) : z ∈C, Re z = 3} is equal to the interval (α, β], then 24(β −α) is equal to (1) 36 (2) 27 (3) 30 (4) 42

Q63.The number of seven digits odd numbers, that can be formed using all the seven digits 1, 2, 2, 2, 3, 3, 5 is

Q63.Number of integral solutions to the equation x + y + z = 21 , where x ≥1, y ≥3, z ≥4 , is equal to _____ .