1. Find the units digit in 7^324?
(a) 7 (b) 9 (c) 3 (d) 1
2. Which of the following is a perfect square?
(a) 12194061 (b) 12194064 (c) 12194051 (d) 12194046
3. If ‘a’ and ‘b’ are integers, and , which of the following cannot be the value of ‘a + b’?
a) 50 b) 41 c) 58 d) 54
4. Find the sum of the missing digits ‘W’ and ‘Y’ in the number 49W6292Y, if it is known that the number is divisible by 8 and 9 and ‘W’, ‘Y’ >0?
a) 4 b) 9 c) 13 d) 14
5. Which among the following is the greatest? If the answer cannot be found mark “cannot be determined.”
(a) (b) (55)5 (c) 555 (d) cannot be determined
6. Find the number of divisors of 5400.
(a) 45 (b) 46 (c) 47 (d) 48
7. Find the least number which when divided by 25, 30, 35, 40 leaves remainder 2.
(a) 4202 (b) 3202 (c) 2202 (d) 1202
8. The number of divisors of an odd number is 34. If it is multiplied by 12, the number of divisors will be
(a) 278 (b) 76 (c) 204 (d) 216
9. A man had certain number of balls with him. He gave all the balls to three boys one after another. He gave one-third of the balls and one more to the first boy. He gave one third and one more of the remaining balls to the second boy. He gave one-fifth and 4 more of the remaining balls to the third boy. How many balls did the man have before he met the boys?
(a) 14 (b) 15 (c) 16 (d) 17
10. L.C.M of 3 numbers is 120. Which one of the following cannot be their H.C.F?
(a) 8 (b) 10 (c) 12 (d) 25
11. If n = 1 + x, where x is the product of four consecutive positive integers, then which of the following is / are true?
(i) n is odd
(ii) n is prime
(iii) n is a perfect square
(a) (i) & (ii) only (b) (i) & (iii) only (c) (i) only (d) None of these
12. What is the least possible number, the square of which when added to the sum of the squares of 10 and 11 results in a perfect square?
(a) 3 (b) 4 (c) 1 (d) 2
13. All the page numbers from a book are added, beginning at page 1. However, one page number was mistakenly added twice. The sum obtained was1000. Which page number was added twice?
(a) 44 (b) 45 (c) 10 (d) 12
14. Two positive integers are added and divided by 2. It is 25% higher than the square root of the multiplication of the two numbers. Find the numbers.
(a) 10, 15 (b) 10, 20 (c) 20, 5 (d) 20, 30
15. What is the maximum power of 3^n that can be extracted from 25!?
(a) 6 (b) 8 (c) 9 (d) 10
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