16. Consider the number a5 with unit digit 5. We have (a5)2 = a(a + 1) hundred + 25. The value of 1252 is
- (A) 15635
- (B) 15625
- (C) 16525
- (D) 16535
15. Consider the number a5 with unit digit 5. We have (a5)2 = a(a + 1) hundred + 25. The value of 7952 is
- (A) 632075
- (B) 632025
- (C) 632035
- (D) 632055
14. How many non-square numbers lie between the numbers 1002 and 1012?
- (A) 201
- (B) 199
- (C) 200
- (D) 202
13. The triangular numbers are 1, 3, 6, 10, 15, . . . The sum of 4th and 5th triangular number is
- (A) 32
- (B) 42
- (C) 62
- (D) 52
12. Which of the following is the correct value of 152, as a sum of consecutive natural numbers?
- (A) 112 + 114
- (B) 113 + 114
- (C) 112 + 113
- (D) 111 + 112
11. Which one is the correct value of 11 × 13?
- (A) 132 – 1
- (B) 112 – 1
- (C) 122 – 1
- (D) 142 – 1
10. The hypotenuse of a right triangle with its legs of lengths 3x and 4x is
- (A) 5x
- (B) 7x
- (C) 16x
- (D) 25x
9. If one member of a Pythagorean triplet is 2m, then the other two members are
- (a) m, m2 + 1
- (b) m2 + 1, m2 –1
- (c) m2, m2 –1
- (d) m2, m + 1
8. The sum of first n odd natural numbers is
- (a) 2n + 1
- (b) n2
- (c) n2 – 1
- (d) n2 + 1
7. If m is the square of a natural number n, then n is
- (a) the square of m
- (b) greater than m
- (c) equal to m
- (d) √m
6. The value of 248 + √52 + √144 is
- (a) 14
- (b) 12
- (c) 16
- (d) 13
5. Given that √4096 = 64, the value of √4096 + √40.96 is
- (a) 74
- (b) 60.4
- (c) 64.4
- (d) 70.4
4. How many natural numbers are there between n2 and (n + 1)2?
- (A) 2n – 1
- (B) 2n + 1
- (C) 2n
- (D) n – 1
3. How many digits are there in the square root of 65025?
- (A) 3
- (B) 2
- (C) 4
- (D) 1
2. The least number by which 125 be multiplied to make it a perfect square is
- (A) 2
- (B) 4
- (C) 5
- (D) 6
1. The least number by which 96 be divided to make it a perfect square is
- (A) 2
- (B) 4
- (C) 5
- (D) 3