Practice Questions

Q59.Which one of the following compounds is an antifertility drug? (1) Aspirin (2) Chloromycetin (3) Saheli (4) Penicillin

Q59.Aspirin is known as: (1) Acetyl salicylic acid (2) Phenyl salicylate (3) Acetyl salicylate (4) Methyl salicylic acid JEE Main 2012 (Offline) JEE Main Previous Year Paper

Q59.Chemically heroin is (1) morphine monoacetate (2) morphine dibenzoate (3) morphine diacetate (4) morphine monobenzoate

Q59.Aspirin can be prepared by the reaction of (1) Salicyldehyde with acetic anhydride in presence (2) Salicylic acid with methanol in presence of of H2SO4 H2SO4 (3) Salicylic acid with acetic anhydride in presence (4) Cinnamic acid with acetic anhydride in presence of H2SO4 of H2SO4

Q60.Amylopectin is a polymer of (1) α −D− glucose (2) amino acid (3) β −D− glucose (4) amylase.

Q60.Which one of the following statements is correct? (1) All amino acids except lysine are optically active (2) All amino acids are optically active (3) All amino acids except glycine are optically (4) All amino acids except glutamic acid are active optically active z lies

Q60.All of the following statements apply to proteins except (1) Proteins generally have no definite melting point (2) Proteins contain the grouping - CONH− (3) Proteins have high molecular weight (4) Proteins can only contain the elements C, H, O and N.

Q60.Which of the following is a non-reducing sugar? (1) Lactose (2) Fructose (3) Sucrose (4) Maltose

Q60.Which of the following statements is correct? (1) RNA controls the synthesis of proteins. (2) The sugar present in DNA is D-(-)-ribose. (3) RNA has double stranded α-helix structure. (4) DNA mainly occurs in the cytoplasm of the cell.

Q61.If a, b, c ∈R and 1 is a root of equation ax2 + bx +c = 0, then the curve y = 4ax2 + 3bx + 2c, a ≠0 intersect x-axis at JEE Main 2012 (26 May Online) JEE Main Previous Year Paper (1) two distinct points whose coordinates are always (2) no point rational numbers (3) exactly two distinct points (4) exactly one point Q62. |z1 + z2|2 + |z1 −z2|2 is equal to + (1) 2 (|z1| + |z2| (2) 2 (|z1|2 |z2|2) (3) |z1| |z2| (4) |z1|2 + |z2|2

Q61.Let p, q, r ∈R and r > p > 0. If the quadratic equation px2 + qx + r = 0 has two complex roots α and β, then |α| + |β| is (1) equal to 1 (2) less than 2 but not equal to 1 (3) greater than 2 (4) equal to 2 x2 b

Q61.If a, b, c, d and p are distinct real numbers such that (a2 + b2 + c2)p2 −2p(ab + bc + cd) + (b2+ c2 + d2) ≤0, then (1) a, b, c, d are in A.P. (2) ab = cd (3) ac = bd (4) a, b, c, d are in G.P.

Q61.The value of k for which the equation (K −2)x2 + 8x + K + 4 = 0 has both roots real, distinct and negative is (1) 6 (2) 3 (3) 4 (4) 1

Q61.If z ≠1 and z−1z2 is real, then the point represented by the complex number (1) either on the real axis or on a circle passing (2) on a circle with centre at the origin through the origin (3) either on the real axis or on a circle not passing (4) on the imaginary axis through the origin

Q62.Consider a quadratic equation ax2 + bx + c = 0, where 2a + 3b + 6c = 0 and let g(x) = a x33 + 2 + cx. Statement 1: The quadratic equation has at least one root in the interval (0, 1). Statement 2: The Rolle's theorem is applicable to function g(x) on the interval [0, 1]. (1) Statement 1 is false, Statement 2 is true. (2) Statement 1 is true, Statement 2 is false. (3) Statement 1 is true, Statement 2 is true, (4) Statement 1 is true, Statement 2 is true, , Statement 2 is not a correct explanation for Statement 2 is a correct explanation for Statement 1. Statement 1.

Q62.Assuming the balls to be identical except for difference in colours, the number of ways in which one or more balls can be selected from 10 white, 9 green and 7 black balls is (1) 880 (2) 629 (3) 630 (4) 879

Q62.If the sum of the square of the roots of the equation x2 −(sin α −2)x −(1 + sin α) = 0 is least, then α is equal to (1) π (2) π 6 4 (3) π (4) π 3 2

Q62.Let Z1 and Z2 be any two complex number. Statement 1: |Z1 −Z2| ≥|Z1| −|Z2| Statement 2: |Z1 + Z2| ≤|Z1| + |Z2| (1) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation of Statement 1. (2) Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1. (3) Statement 1 is true, Statement 2 is false. (4) Statement 1 is false, Statement 2 is true.

Q63.Let X = {1, 2, 3, 4, 5} . The number of different ordered pairs (Y , Z) that can be formed such that Y ⊆X, Z ⊆X and Y ∩Z is empty, is (1) 52 (2) 35 (3) 25 (4) 53

Q63.If the number of 5-element subsets of the set A = {a1, a2, … , a20} of 20 distinct elements is k times the number of 5-element subsets containing a4 , then k is (1) 5 (2) 20 7 (3) 4 (4) 10 3

Q63.Let Z and W be complex numbers such that |Z| = |W|, and arg Z denotes the principal argument of Z . Statement 1:If arg Z + arg W = π, then Z = −¯W . Statement 2: |Z| = |W|, implies arg Z −arg ¯W = π. (1) Statement 1 is true, Statement 2 is false. (2) Statement 1 is true, Statement 2 is true, Statement 2 is a correct explanation for Statement 1. (3) Statement 1 is true, Statement 2 is true, (4) Statement 1 is false, Statement 2 is true. Statement 2 is not a correct explanation for Statement 1.

Q63.If seven women and seven men are to be seated around a circular table such that there is a man on either side of every woman, then the number of seating arrangements is (1) 6!7! (2) (6!)2 (3) (7!)2 (4) 7 !

Q63.The area of the triangle whose vertices are complex numbers z, iz, z + iz in the Argand diagram is (1) 2|z|2 (2) 1/2|z|2 (3) 4|z|2 (4) |z|2 JEE Main 2012 (12 May Online) JEE Main Previous Year Paper

Q64.Statement 1: The sum of the series 1 + (1 + 2 + 4) + (4 + 6 + 9) + (9 + 12 + 16) + … … + (361 + 380 + 400) is 8000 . Statement 2 : ∑nk=1 (k3 −(k −1)3) = n3 for any natural number n. (1) Statement 1 is false, statement 2 is true. (2) Statement 1 is true, statement 2 is true; statement 2 is a correct explanation for statement 1 (3) Statement 1 is true, statement 2 is true; statement (4) Statement 1 is true, statement 2 is false 2 is not a correct explanation for statement 1

Q64.The difference between the fourth term and the first term of a Geometrical Progresssion is 52. If the sum of its first three terms is 26 , then the sum of the first six terms of the progression is JEE Main 2012 (07 May Online) JEE Main Previous Year Paper (1) 63 (2) 189 (3) 728 (4) 364