1. If a3b = abc = 180 and a, b, c are positive integers, then the value of c is:
110
25
15
None of the above
2. (1 - 1/3)(1 - 1/4)(1 - 1/5)...(1 - 1/n) is equal to:
1/n
2/n
2/n(n+1)
2(n-1)/n
3. When simplified, the product (2 - 1/3)(2 - 3/5)(2 - 5/7)...(2 - 997/999) is equal to:
5/999
1001/999
1001/3
4. (256).18 x (256).07 is equal to:
4
6
8
64
5. Given that (12 +22 + 32 + .... + 102) = 385, then the value of (22 +42 + 62 + .... + 202) is equal to:
770
1540
1155
(385) x (385)
6. If (64)2 - (36)2 = 20z, the value of z is:
70
180
120
7. If x * y = (x +2)2 . (y-2), then the value of (7 * 5) is:
175
205
213
243
8. If 2x-1 + 2x+1 = 320, then the value of x is:
5
7
9. The sum of first 45 natural numbers is:
2070
1035
1280
2140
10. (51 + 52 + 53 +... + 100) is equal to:
2525
2975
3225
3775
11. The remainder obtained when 211 is divided by 5 is:
2
3
1
12. What least value must be assigned to * so that 86325*6 is divisible by 11?
13. Which of the following numbers is exactly divisible by 99?
114345
135792
3572404
913464
14. If the number 42573* is completely divisible by 72, then which of the following numbers should replace * in the number?
15. 5*2 is a three digit number with * as a missing digit. If the number is divisible by 6, the missing digit is:
16. There is one number which is formed by writing one digit 6 times (e.g. 111111, 444444, etc.). Such number is always divisible by:
11
13
All of the above
17. Which of the following numbers should be added to 11158 to make it exactly divisible by 77?
9
18. The number nearest to 99547 which is exactly divisible by 687 is:
100166
98928
99479
99615
19. What least number must be subtracted from 13294 so that the remainder is exactly divisible by 97?
20. What largest number of five digits is divisible by 99?
99999
99981
99909
99990
21. What smallest number of six digits is divisible by 111?
111111
110011
100011
22. When a certain number is multiplied by 13, the product consists entirely of fives. The smallest such number is:
41625
42515
42735
42135
23. A four digit number divisible by 7 becomes divisible by 3, when 10 is added to it. The largest such number is:
9987
9989
9996
9947
24. Which of the following numbers is exactly divisible by all prime numbers between 1 and 17?
515513
440440
345345
510510
25. How many numbers between 200 and 600 are divisible by 4, 5 and 6?