45. Cube of (−2/3) is
- (A) −2/3
- (B) −8/27
- (C) 8/27
- (D) 2/3
44. Cube of −(5/7) is
- (A) −5/7
- (B) −125/343
- (C) 125/343
- (D) 5/7
43. Which of the following is equal to 1?
- (A) 20 + 30 + 40
- (B) 20 × 30 × 40
- (C) (30 – 20) × 40
- (D) (30 – 20) × (30 +20)
42. In standard form, the number 829030000 is written as K × 108 where K is equal to
- (A) 82903
- (B) 829.03
- (C) 82.903
- (D) 8.2903
41. In standard form, the number 72105.4 is written as 7.21054 × 10n where n is equal to
- (A) 2
- (B) 3
- (C) 4
- (D) 5
40. In standard form 72 crores is written as
- (A) 72 × 107
- (B) 72 × 108
- (C) 7.2 × 108
- (D) 7.2 × 107
39. Which of the following is not true?
- (A) 32 > 23
- (B) 43 = 26
- (C) 33 = 9
- (D) 25 > 52
38. am × an is equal to
- (A) (a2)mn
- (B) am–n
- (C) am+n
- (D) amn
37. What is the value of (–8)5 × (–8)3?
- (A) 85 + 83
- (B) 88
- (C) –88
- (D) (–8)15
36. What is the simplified value of (57 ÷ 56)2?
- (A) 1
- (B) 5
- (C) 25
- (D) 125
35. [(–3)2]3 is equal to
- (A) (–3)8
- (B) (–3)6
- (C) (–3)5
- (D) (–3)23
34. For a non-zero rational number x, x8 ÷ x2 is equal to
- (A) x4
- (B) x6
- (C) x10
- (D) x16
33. x is a non-zero rational number. Product of the square of x with the cube of x is equal to the
- (A) second power of x
- (B) third power of x
- (C) fifth power of x
- (D) sixth power of x
32. For any two non-zero rational numbers x and y, x5 ÷ y5 is equal to
- (A) (x ÷ y)1
- (B) (x ÷ y)0
- (C) (x ÷ y)5
- (D) (x ÷ y)10
31. Which power of 8 is equal to 26?
- (A) 3
- (B) 2
- (C) 1
- (D) 4