After the division of a number successively by 3, 4 and 7, the remainders obtained are 2, 1 and 4 respectively. What will be the remainder if 84 divides the same number?

- 53
- 75
- 41
- 80

When 2^{256} is divided by 17, the remainder would be

- 1
- 14
- 16
- None of these

What will be remainder when (67^{67} + 67) is divided by 68?

- 67
- 63
- 66
- 1

Find the minimum integral value of n such that the division 55n/124 leaves no remainder

- 124
- 123
- 31
- 62

Let k be a positive integer such that k+4 is divisible by 7. Then the smallest positive integer n, greater than 2, such that k+2n is divisible by 7 equals

- 7
- 5
- 9
- 3

Let N = 1421 × 1423 × 1425. What is the remainder when N is divided by 12?

- 0
- 9
- 6
- 3

On dividing a number by 5, we get 3 as remainder. What will the remainder when the square of the this number is divided by 5?

- 0
- 1
- 2
- 4

What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?

- 676
- 777
- 683
- 666

The remainder obtained when a prime number greater than 6 is divided by 6 is

- 1 or 3
- 1 or 5
- 3 or 5
- 4 or 5

The remainder when 7^{84} is divided by 342 is

- 0
- 1
- 49
- 341

The smallest number which when divided by 4, 6 or 7 leaves a remainder of 2, is

- 86
- 80
- 62
- 44

What is the remainder when 4^{96} is divided by 6?

- 0
- 2
- 3
- 4

If x = (16^{3} + 17^{3} + 18^{3} + 19^{3}), then x divided by 70 leaves a remainder of

- 0
- 1
- 35
- 69

Which is the least number that must be subtracted from 1856, so that the remainder when divided by 7, 12, and 16 is 4.

- 137
- 140
- 172
- 1361