Practice Questions

Q44.An ionic micelle is formed on the addition of: (1) liquid diethyl ether to aqueous NaCl solution (2) (3) (4) Sodium stearate to pure toluene

Q44.Two monomers in maltose are: (1) α −D− glucose and β −D− glucose (2) α −D− glucose and α −D− galactose (3) α −D− glucose and α −D− Fructose (4) α −D− glucose and α −D− glucose

Q45.Match the following drugs with their therapeutic actions: (i) Ranitidine (a) Antidepressant (ii) Nardil (Phenelzine) (b) Antibiotic (iii) Chloramphenicol (c) Antihistamine (iv) Dimetane (Brompheniramine) (d) Antacid (e) Analgesic (1) (i)-(a); (ii)-(c); (iii)-(b); (iv)-(e); (2) (i)-(d); (ii)-(a); (iii)-(b); (iv)-(c); (3) (i)-(e); (ii)-(a); (iii)-(c); (iv)-(d); (4) (i)-(d); (ii)-(c); (iii)-(a); (iv)-(e); Q46. 0. 023 × 1022 molecules are present in 10gof a substance ′x′. The molarity of a solution containing 5g of substance 'x' in 2 L solution is _________ ×10−3

Q45.Match the following : (i) Riboflavin (a) Beriberi (ii) Thiamine (b) Scurvy (iii) Pyridoxine (c) Cheilosis (iv) Ascorbic acid (d) Convulsions (1) (i) −(a), (ii) −(d), (iii) −(c), (iv) −(b) (2) (i) −(c), (ii) −(d), (iii) −(a), (iv) −(b) (3) (i) −(c), (ii) −(a), (iii) −(d), (iv) −(b) (4) (i) −(d), (ii) −(b), (iii) −(a), (iv) −(c)

Q46.A 100 mL solution was made by adding 1. 43 g of Na2 CO3. xH2 O. The normality of the solution is 0. 1 N. The value of x is _______ (The atomic mass of Na is 23g/ mol)

Q51.The product of the roots of the equation 9x2 −18 x + 5 = 0 is : (1) 59 (2) 2581 (3) 275 (4) 259 ¯¯

Q51.If α and β are the roots of the equation 2x(2x + 1) = 1, then β is equal to : (1) 2α(α + 1) (2) −2α(α + 1) (3) 2α(α −1) (4) 2α2

Q51.If A = {x ∈R : |x| < 2} and B = {x ∈R : |x −2| ≥3}; then (1) A ∩B = (−2, −1) (2) B −A = R −(−2, 5) (3) A ∪B = R −(2, 5) (4) A −B = [−1, 2)

Q51.Let α and β be the roots of the equation, 5x2 + 6x −2 = 0. If Sn = αn + βn, n = 1, 2, 3, . . . . , then (1) 6S6 + 5S5 = 2S4 (2) 5S6 + 6S5 + 2S4 = 0 (3) 5S6 + 6S5 = 2S4 (4) 6S6 + 5S5 + 2S4 = 0 1+sin 9 +i cos

Q52.The imaginary part of (3 2√−54) −(3 −2√−54) ,can be (1) −√6 (2) −2√6 (3) 6 (4) √6

Q56.If the co-ordinates of two points A and B are (√7, 0) and (−√7, 0) respectively and conic, 9x2 + 16y2 = 144, then PA + PB is equal to : (1) 16 (2) 8 (3) 6 (4) 9

Q57.The contrapositive of the statement "If I reach the station in time, then I will catch the train" is (1) If I do not reach the station in time, then I will (2) If do not reach the station in time, then I will not catch the train. catch the train. (3) If I will catch the train, then I reach the station in (4) If I will not catch the train, then I do not reach time. the station in time.

Q57.Which of the following statement is a tautology? (1) p ∨(~q) →p ∧q (2) ~(p ∧~q) →p ∨q (3) ~(p ∨~q) →p ∧q (4) ~(p ∨~q) →p ∨q JEE Main 2020 (08 Jan Shift 2) JEE Main Previous Year Paper

Q58.Consider the statement: "For an integer n, if n3 −1 is even, then n is odd". The contrapositive statement of this statement is: (1) For an integer n, if n is even, then n3 −1 is odd. (2) For an integer n, if n3 −1 is not even, then n is not odd. (3) For an integer n, if n is even, then n3 −1 is even.(4) For an integer n , if n is odd, then n3 −1 is even.

Q58.For two statements p and q , the logical statement (p →q) ∧(q →~p) is equivalent to (1) p (2) q (3) ~p (4) ~q JEE Main 2020 (07 Jan Shift 1) JEE Main Previous Year Paper Q59. ⎡ 1 1 1 ⎤ Let α be a root of the equation x2 + x + 1 = 0 and the matrix A = 1 1 α α2 , then the matrix A31 is √3 ⎣ 1 α2 α4 ⎦ equal to (1) A3 (2) I3 (3) A2 (4) A

Q58.Negation of the statement: √5 is an integer or 5 is irrational is: (1) √5 is not an integer 5 is not irrational (2) √5 is not an integer and 5 is not irrational (3) √5 is irrational or 5 is an integer (4) √5 is an integer and 5 irrational JEE Main 2020 (09 Jan Shift 1) JEE Main Previous Year Paper

Q59.The proposition p →~(p ∧~q) is equivalent to : (1) q (2) (~p) ∨q (3) (~p) ∧q (4) (~p) ∨(~q)

Q59.Let p, q, r be three statements such that the truth value of (p ∧q) →(~q ∨r) is F . Then the truth values of p, q, r are respectively : (1) T, T, F (2) T, T, T (3) T, F, T (4) F, T, F

Q59.The negation of the Boolean expression p ∨(~p ∧q) is equivalent to : (1) p ∧~q (2) ~p ∧~q (3) ~p ∨~q (4) ~p ∨q n n

Q59.If p →(p ∧~q) is false, then the truth values of p and q are respectively (1) F, F (2) T, F (3) T, T (4) F, T JEE Main 2020 (09 Jan Shift 2) JEE Main Previous Year Paper

Q61.Let A = [aij] and B = [bij] be two 3 × 3 real matrices such that bij = (3)(i+j−2)aij , where i, j = 1,2, 3 . If the determinant of B is 81 , then determinant of A is (1) 1 (2) 3 3 (3) 1 (4) 1 81 9

Q62.A survey shows that 63% of the people in a city read newspaper A whereas 76% read news paper B. If x% of the people read both the newspapers, then a possible value of x can be: (1) 29 (2) 37 (3) 65 (4) 55 where i = √−1, then which one of the following is not (θ = 24π ) and A5 = [ ac bd ],

Q62.Let S , be the set of all functions f : [0, 1] →R, which are continuous on [0, 1], and differentiable on (0, 1). Then for every f in S , there exists c ∈(0, 1), depending on f , such that. f '(c) (1) |f(c) −f(1)| < (1 −c) f '(c) (2) f(1)−f(c)1−c = (3) |f(c) + f(1)| < (1 + c) f '(c) (4) |f(c) −f(1)| < f '(c)

Q63.The value of c, in the Lagrange’s mean value theorem for the function f(x) = x3 −4x2 + 8x + 11, when x ∈[0,1], is (1) 4−√5 (2) 4−√7 3 3 (3) 2 (4) √7−2 3 3

Q64.Let f and g be differentiable functions on R such that fog is the identity function. If for some a, b ∈R, g'(a) = 5 and g(a) = b, then f '(b) is equal to: (1) 1 (2) 1 5 (3) 5 (4) 52