1. How many three digit numbers are divisible by 6 in all?
149
150
151
166
2. The largest natural number which exactly divides the product of any four consecutive natural numbers is:
6
12
24
120
3. The largest natural number by which the product of three consecutive even natural numbers is always divisible is:
16
48
96
4. If x and y are positive integers such that (3x + 7y) is a multiple of 11, then which of the following will also be divisible by 11?
4x + 6y
x + y + 4
9x + 4y
4x - 9y
5. In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 46, then the dividend is:
4236
4306
4336
5336
6. The number (10n - 1) is divisible by 11 for:
All values of n
Odd values of n
Even values of n
n = multiples of 11
7. If (1 x 2 x 3 x 4 x ... x n) = n!, then (14! - 13! - 12!) is equal to:
14 x 12 x (12!)
14 x 12 x (13!)
14 x 13 x (13!)
13 x 12 x (12!)
8. How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336
4
5
7
9. A 3-digit number 4a3 is added to another 3-digit number 984 to give the four digit number 13b7, which is divisible by 11. Then, (a + b) is:
10
11
15
10. If x and y are the two digits of the number 653 xy such that this number is divisible by 80, then x + y is equal to:
2
3
11. If n is any positive integer, then (34n - 43n) is always divisible by:
17
112
145
12. The least number by which 72 must be multiplied in order to produce a multiple of 112 is:
14
18
13. On dividing a number by 999, the quotient is 366 and the remainder is 103. The number is:
364724
365387
365737
366757
14. The least square number which is divisible by 2, 3, 4, 5, 6 is:
400
900
1600
3600
15. The smallest number which when added to the sum of the squares of 9 and 10, gives a perfect square, is:
0
8
16. The value of {1 + 1/(1x2) + 1/(1x2x4) + 1/(1x2x4x8) + 1/(1x2x4x8x16)} upto four places of decimal is:
1.6414
1.6415
1.6416
1.6428
17. (64)-2/3 x (1/4)-2 is equal to:
1
1/4
18. The expression [1/1.2 + 1/2.3 + 1/3.4 + ... + 1/n(n+1)] for any natural number n is:
Always greater than 1
Always less than 1
Always equal to 1
Not definite
19. The smallest integer by which 3750 should be divided so that the quotient is a perfect square number is:
20. On dividing 4150 by a certain number, the quotient is 55 and the remainder is 25. The divisor is:
65
70
75
80
21. When n is divided by 4, the remainder is 3. What is the remainder when 2n is divided by 4?
22. 217 x 217 + 183 x 183 = ?
79698
80578
81268
80698
23. 397 x 397 + 104 x 104 + 2 x 397 x 104 = ?
250001
251001
260101
261001
24. 1399 x 1399 = ?
1687401
1901541
1943211
1957201
25. 9787 x 123 + 9787 x 77 = ?
1867400
1957400
1967600
1887400