Practice Questions

Q60.The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-complex of CoCl3. 4 NH3 is _______ . (Round off to the Nearest Integer).

Q60.The reaction of white phosphorus on boiling with alkali in inert atmosphere resulted in the formation of product A. The reaction 1 mol of A with excess of AgNO3 in aqueous medium gives ________ mole(s) of Ag. (Round off to the Nearest Integer).

Q60.A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _____ peptide linkages.

Q60.Among the following, the number of halide(s) which is/ are inert to hydrolysis is (A) BF3 (B) SiCl4 (C) PCl5 (D) SF6

Q60.A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trimethyl ammonium bromide. The number of moles of bromomethane consumed in this reaction are n × 10−1, when n =_____ (Round off to the Nearest Integer). (Given : Atomic masses : C : 12. 0 u, H : 1. 0 u, N : 14. 0 u, Br : 80. 0 u)

Q60.The total number of negative charge in the tetrapeptide, Gly-Glu-Asp-Tyr, at pH 12. 5 will be_______ (Integer answer)

Q60.The number of optical isomers possible for [Cr (C2O4)3]3− is:

Q60.The total number of unpaired electrons present in [Co(NH3)6]Cl2 and [Co(NH3)6]Cl3 is ¯

Q60.The total number of reagents from those given below, that can convert nitrobenzene into aniline is __________ . (Integer answer) I. Sn −HCl II. Sn −NH4 OH JEE Main 2021 (31 Aug Shift 1) JEE Main Previous Year Paper III. Fe −HCl IV. Zn −HCl V. H2 −Pd VI. H2− Raney Nickel

Q60.The number of compound/s given below which contain/s −COOH group is ___ . (Integer answer) (A) Sulphanilic acid (B) Picric acid (C) Aspirin (D) Ascorbic acid

Q60.An aqueous solution of NiCl2 was heated with excess sodium cyanide in presence of strong oxidizing agent to form [Ni(CN)6]2−. The total change in number of unpaired electrons on metal centre is ___________.

Q60.Gaseous cyclobutene isomerizes to butadiene in a first order process which has a 'K' value of 3 . 3 × 10-4 s-1 at 153°C . The time in minutes it takes for the isomerization to proceed 40% to completion at this temperature is_____. (Rounded off to the nearest integer)

Q60.Number of bridging CO ligands in [Mn2 (CO)10] is

Q60.On complete reaction of FeCl3 with oxalic acid in aqueous solution containing KOH, resulted in the formation of product A . The secondary valency of Fe in the product A is ______ . (Round off to the Nearest Integer).

Q61.Let a, b, c be in arithmetic progression. Let the centroid of the triangle with vertices (a, c), (2, b) and (a, b) be ( 103 , 73 ). If α, β are the roots of the equation ax2 + bx + 1 = 0, then the value of α2 + β2 −αβ is: (1) −71256 (2) 25669 (3) 256 71 (4) −69256

Q61.The sum of the roots of the equation, 𝑥+ 1 - 2log23 + 2𝑥+ 2log410 - 2-𝑥= 0, is : (1) log214 (2) log212 (3) log213 (4) log211

Q61.Let 𝑆𝑛 be the sum of the first 𝑛 terms of an arithmetic progression. If 𝑆3𝑛= 3𝑆2𝑛, then the value of 𝑆4𝑛 is : 𝑆2𝑛 JEE Main 2021 (25 Jul Shift 1) JEE Main Previous Year Paper (1) 6 (2) 4 (3) 2 (4) 8

Q61.The number of real solutions of the equation, x2 −|x| −12 = 0 is: (1) 2 (2) 3 (3) 1 (4) 4

Q61.Let S1, S2 and S3 be three sets defined as : z −1 S1 = ≤√2}, {z ∈C S2 = {z ∈C : Re((1 −i)z) ≥1} and S3 = {z ∈C : Im(z) ≤1}. Then, the set S1 ∩S2 ∩S3 (1) is a singleton (2) has exactly two elements (3) has infinitely many elements (4) has exactly three elements

Q61.A natural number has prime factorization given by n = 2x3y5z , where y and z are such that y + z = 5 and y−1 + z−1 = 56 , y > z. Then the number of odd divisors of n, including 1 , is: (1) 12 (2) 6 (3) 11 (4) 6x

Q61.The value of 4 + 1 1 is: 5+ 1 4+ 1 5+ 4+……∞ (1) 2 + 52 √30 (2) 2 + √54 √30 (3) 4 + 4 √30 (4) 5 + 25 √30 √5

Q61.The set of all values of k > −1, for which the equation + + 4x + 3)(3x2 + 4x + 2)+ k(3x2 + 4x + 2) = 0 has real roots, is: (3x2 + 4x + 3) 2 −(k 2 1)(3x2 (1) [−12 , 1) (2) (1, 25 ] (3) ( 12 , 32 ] −{1} (4) [2, 3)

Q61.If the real part of the complex number (1 −cos θ + 2i sin θ)−1 is 15 for θ ∈(0, π), then the value of the x dx is equal to: integral ∫θ0 sin JEE Main 2021 (20 Jul Shift 2) JEE Main Previous Year Paper (1) 1 (2) 2 (3) −1 (4) 0

Q61.If α and β are the distinct roots of the equation x2 + (3) 1 1 4 x + 3 2 = 0 , then the value of α96(α12 −1) + β96(β12 −1) is equal to: (1) 56 × 325 (2) 56 × 324 (3) 52 × 324 (4) 28 × 325

Q61.The sum of 10 terms of the series 3 + 5 + 7 + … is : 12×22 22×32 32×42 (1) 143 (2) 99 144 100 (3) 1 (4) 120121