Practice Questions

Q55.The product of the reaction give below is: (1) (2) (3) (4) Q56. 2- chloro - 2 - methylpentane on reaction with sodium methoxide in methanol yields: (i) (ii) (iii) (1) iii only (2) i and ii (3) i and iii (4) All of these

Q57.In the Hoffmann bromamide degradation reaction, the number of moles of NaOH and Br2 used per mole of amine produced are: (1) Two moles of NaOH and two moles of Br2 (2) Four moles of NaOH and one mole of Br2 (3) One mole of NaOH and one mole of Br2 (4) Four moles of NaOH and two moles of Br2

Q57.The N which contribute least to the basicity of the compound is : (1) N -9 (2) N -3 (3) N -1 (4) N -7

Q58.Assertion: Rayon is a semisynthetic polymer whose properties are better than natural cotton. Reason: Mechanical and aesthetic properties of cellulose can be improved by acetylation. (1) Both assertion and reason are correct, but the (2) Both assertion and reason are correct, and the reason is not the correct explanation for the reason is the correct explanation for the assertion. assertion. (3) Assertion in incorrect statement, but the reason is (4) Both assertion and reason are incorrect. correct.

Q58.Which of the following polymers is synthesized using a free radical polymerization technique? (1) Terylene (2) Melamine polymer (3) Nylon 6, 6 (4) Teflon

Q58.Which of the following statements about low density polythene is FALSE? JEE Main 2016 (03 Apr) JEE Main Previous Year Paper (1) Its synthesis required dioxygen or a peroxide (2) It is used in the manufacture of buckets, dust - initiator as a catalyst bins etc. (3) Its synthesis requires high pressure (4) It is a poor conductor of electricity

Q60.Observation of "Rhumann's purple" is a confirmatory test for the presence of: (1) Starch (2) Reducing sugar (3) Protein (4) Cupric ion

Q60.Consider the following sequence for aspartic acid: The pH (Isoelectric point) of aspartic acid is: (1) 3.65 (2) 2.77 (3) 5.74 (4) 1.88

Q61.If the equations x2 + bx −1 = 0 and x2 + x + b = 0 have a common root different from −1, then |b| is equal to : (1) 2 (2) 3 (3) √3 (4) √2

Q61.The sum of all real values of x satisfying the equation (x2 −5x + 5) x2+4x−60 = 1 is (1) 6 (2) 5 (3) 3 (4) −4

Q61.If x is a solution of the equation √2x + 1 − √2x −1 = 1, (x ≥12 ) , then √4x2 −1 is equal to : (1) 3 (2) 1 4 2 (3) 2√2 (4) 2 JEE Main 2016 (10 Apr Online) JEE Main Previous Year Paper

Q62.A value of θ for which 2+3i sin θ is purely imaginary, is 1−2i sin θ (1) sin−1( √34 ) (2) sin−1( √31 ) (3) π (4) π 3 6

Q62.Let z = 1 + ai , be a complex number, a > 0, such that z3 is a real number. Then, the sum 1 + z + z2 + … . +z11 is equal to : (1) 1365 √3i (2) −1365 √3i (3) −1250 √3i (4) 1250 √3i

Q63.If all the words (with or without meaning) having five letters, formed using the letters of the word SMALL and arranged as in a dictionary; then the position of the word SMALL is (1) 52nd (2) 58th (3) 46th (4) 59th

Q63.If n+2C6 = 11, then n satisfies the equation: n−2P2 (1) n2 + n −110 = 0 (2) n2 + 2n −80 = 0 (3) n2 + 3n −108 = 0 (4) n2 + 5n −84 = 0

Q63.If the four letter words (need not be meaningful) are to be formed using the letters from the word "MEDITERRANEAN" such that the first letter is R and the fourth letter is E, then the total number of all such words is : (1) 110 (2) 59 (3) 11! (4) 56 (2!)3

Q64.Let x, y, z be positive real numbers such that x + y + z = 12 and x3y4z5 = (0 .1)(600)3. Then x3 + y3 + z3 is equal to (1) 342 (2) 216 (3) 258 (4) 270 is equal to:

Q64.Let a1, a2, a3, … an, … ,be in A.P. If a3 + a7 + a11 + a15 = 72, then the sum of its first 17 terms is equal to : (1) 306 (2) 204 (3) 153 (4) 612

Q64.If the 2nd, 5th and 9th terms of a non-constant arithmetic progression are in geometric progression, then the common ratio of this geometric progression is (1) 1 (2) 74 (3) 8 (4) 4 5 3 is 16 m , then m

Q65.If the sum of the first ten terms of the series (1 35 ) 2 + (2 25 ) 2 + (3 15 ) 2 + 42 + (4 45 ) 2 + … . , 5 is equal to (1) 100 (2) 99 (3) 102 (4) 101 n , x, y ≠0, is 28, then the sum of the coefficients

Q65.The value of ∑15r=1 r2( 15Cr−115Cr ) (1) 1240 (2) 560 (3) 1085 (4) 680 JEE Main 2016 (09 Apr Online) JEE Main Previous Year Paper

Q65.The sum ∑10r=1(r2 + 1) × (r!), is equal to: (1) 11 × (11!) (2) 10 × (11! ) (3) (11)! (4) 101 × (10!) 1

Q66.If the number of terms in the expansion of (1 −2x + y24 ) of all the terms in this expansion is (1) 243 (2) 729 (3) 64 (4) 2187

Q66.If the coefficients of x−2 and x−4 , in the expansion of 3 18 + 1 1 , (x > 0) , are m and n respectively, then (x 2x 3 ) m is equal to n (1) 27 (2) 182 (3) 54 (4) 54

Q66.For x ∈R, x ≠−1, if (1 + x)2016 + x(1 + x)2015 + x2(1 + x)2014 + … + x2016 = 2016 aixi , then a17 is ∑ i=0 equal to (1) 2017! (2) 2016! 17!2000! 17!1999! (3) 2016! (4) 2017! 16! 2000!