15. If a2 ends in 5, then a3 ends in
- (A) 15
- (B) 25
- (C) 5
- (D) 50
14. If a2 ends in 9, then a3 ends in
- (A) 7
- (B) 3
- (C) 7 or 3
- (D) None of these
13. If one’s place of a number is 7, then the one’s place of its cube is
- (A) 3
- (B) 7
- (C) 7 or 3
- (D) None of these
12. Cube root of –8 is
- (A) ±2
- (B) 2
- (C) –2
- (D) None of these
11. Value of ∛8 + ∛27 is
- (A) 4
- (B) 6
- (C) 5
- (D) 7
10. The value of ∛27 + ∛0.008 + ∛0.064 is
- (A) 3.4
- (B) 3.2
- (C) 3.6
- (D) 3.42
9. Difference of two perfect cubes is 189. If the cube root of the smaller of the two numbers is 3, then the cube root of the larger number is
- (A) 4
- (B) 5
- (C) 6
- (D) 7
8. Which of the following is true?
- (A) 1729 = 123 + 13
- (B) 1729 = 113 + 93
- (C) 1729 = 113 + 93
- (D) 1729 = 123 + 93
7. Which of the following is true?
- (A) 1729 = 103 + 113
- (B) 1729 = 113 + 93
- (C) 1729 = 103 + 93
- (D) 1729 = 123 + 93
6. What is the value of 21 + 23 + 25 + 27 + 29?
- (A) 63
- (B) 53
- (C) 73
- (D) 43
5. We have 13 + 15 + 17 + 19 = 43; 21 + 23 + 25 + 27 + 29 = 53 and so on. How many consecutive odd numbers will be needed to obtain the sum as 103?
- (A) 8
- (B) 9
- (C) 10
- (D) 11
4. We have 13 + 15 + 17 + 19 = 43; 21 + 23 + 25 + 27 + 29 = 53 and so on. From which odd number we should start summing so as to get the sum 103?
- (A) 89
- (B) 93
- (C) 91
- (D) 97
3. Which among the following is the value of 513 – 503?
- (A) 1 + 51 × 50 × 3
- (B) 1 + 51 × 50 × 2
- (C) 3 + 51 × 50 × 3
- (D) 5 + 51 × 50 × 2
2. Parikshit makes a cuboid of sides 5 cm, 2 cm, 5 cm. How many such cuboids will he need to form a cube?
- (A) 21
- (B) 20
- (C) 25
- (D) 30
1. Find the odd man out from the numbers 1729, 4104, 13832 and 12805.
- (A) 1729
- (B) 4104
- (C) 13832
- (D) 12805