21. If A = and 3 = 125, then the value of is
(A) ± 3 (B) ± 4
(C) ± 6 (D) ± 7
Ans. (A)
22. If A is a square matrix such that A2 = 1, then A-1 is
(A) A (B) 2A
(C) A+ I (D) 2A + I
Ans. (A)
23. The number of real roots of
x 2 – 7x + 12 = 0 is
(A) Four (B) Six
(C) Seven (D) Twelve
Ans. (A)
24. and e are
(A) Natural numbers (B) Integers
(C) Rational numbers (D) Irrational numbers
Ans. (D)
25. The value of is
(A) 1 (B) 2
(C) 4 (D) 5
Ans. (A)
26. Every continuous function is
(A) Not differentiable (B) Differentiable
(C) Increasing (D) Decreasing
Ans. (A)
27. If x > 0, x y = 1, minimum value of x + y is
(A) 0 (B) 1
(C) 2 (D) 3
Ans. (B)
28. ∫ (x-1)e-x dx is equal to
(A) -x ex + c (B) x ex + c
(C) -x e-x + c (D) x e-x + c
Ans. (C)
29. is
(A) 0 (B) 1
(C) -1 (D) 2
Ans. (B)
30. The area enclosed between the curves y = x2 and x = y2 is
(A) (B)
(C) (D)
Ans. (B)
31. The solution of = 0 represents
(A) A straight line (B) A circle
(C) A parabola (D) A point
Ans. (A)
32. Distance between two parallel planes 2x + y + 2z = 8 and 4x + 2y + 4z +5 = 0
(A) (B)
(C) (D)
Ans. (D)
33. ( + ) x ( – ) is
(A) – (B) 2 ( x )
(C) 2 ( x ) (D) None of these
Ans. (A)
34. In a single throw of two dice the chance of throwing a sum of 8 is
(A) (B)
(C) (D)
Ans. (A)
35. For specifying a straight line, how many geometrical parameters should be known?
(A) 2 (B) 3
(C) 4 (D) 5
Ans. (A)
36. X-axis is the intersection of which two planes?
(A) xy and yz (B) yz and zx
(C) xy and xz (D) None of these
Ans. (C)
37. is
(A) 0 (B) 1
(C) n (D) – n
Ans. (C)
38. ∫ (1- cos x) equals
(A) tan + c (B) tan + c
(C) cot + c (D) 2 tan + c
Ans. (A)
39. dx is equal to
(A) 0 (B)
(C) (D)
Ans. (D)
40. The derivative of an even function is
(A) An even function (B) An odd function
(C) Non-negative (D) None of these
Ans. (B)
