30. Number of perfect cubes between 53 and 152 is
- (A) 13
- (B) 23
- (C) 9
- (D) 19
29. Number of perfect cubes between 62 and 182 is
- (A) 1
- (B) 2
- (C) 3
- (D) 4
28. The maximum number of digits in the cube of a one-digit number can be
- (A) 1
- (B) 2
- (C) 3
- (D) 4
27. What is maximum number of digits possible in the cube of a two-digit number?
- (A) 5
- (B) 6
- (C) 7
- (D) 8
26. Which of the following is true?
- (A) Cube of an even number is odd
- (B) Cube of an odd number is even
- (C) Cube of an even number is even
- (D) None of these
25. Which of the following is not true?
- (A) Cube of an even number is odd
- (B) Cube of an odd number is odd
- (C) Cube of an even number is even
- (D) All of these
24. If m is the cube root of n, then n is
- (a) m3
- (b) √m
- (c) m/3
- (d) ∛m
23. If 1 m3 = t cm3, the value of t will be
- (A) 1000
- (B) 10000
- (C) 100000
- (D) 1000000
22. A perfect cube can have 8 as its unit’s digit.
- (A) 1
- (B) 2
- (C) 3
- (D) 4
21. The least number by which 108 be multiplied to make it a perfect cube is
- (A) 12
- (B) 16
- (C) 18
- (D) 21
20. The least number by which 1024 be divided to make it a perfect cube is
- (A) 2
- (B) 4
- (C) 5
- (D) 3
19. The least number to be multiplied with 9 to make it a perfect cube is
- (A) 2
- (B) 3
- (C) 9
- (D) 6
18. For an integer a, a3 is always greater than a2 if
- (A) a < 1
- (B) a > 1
- (C) a = 1
- (D) a = 0
17. Let x and y are integers such that x > y > 0. Which of the following is always false?
- (A) x2 > y2
- (B) x3 > y3
- (C) x3 = y3
- (D) √x > √y
16. Let x and y be natural numbers. If x divides y, then which of the following is always true?
- (A) x2 divides y2
- (B) x3 divides y3
- (C) x divides y3
- (D) x3 divides y