1. The remainder when 784 is divided by 342 is

  1. 1
  2. 0
  3. 49
  4. 341

2. What is the right most non-zero digit of the number 302720?

  1. 9
  2. 7
  3. 3
  4. 1

3. 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

  1. 5
  2. 3
  3. 9
  4. 7

4. What is the remainder when 496 is divided by 6?

  1. 4
  2. 3
  3. 0
  4. 2

5. 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?

  1. 53
  2. 80
  3. 41
  4. 75

6. What is the digit in the unit's place of 251?

  1. 4
  2. 2
  3. 8
  4. 1

7. Let n! = 1 × 2 × 3 × ... × n for integer n ? 1. If p = 1! + (2 × 2!) + (3 × 3!) + ... + (10 × 10!), then p + 2 when divided by 11! leaves a remainder of

  1. 10
  2. 0
  3. 1
  4. 7

8. When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?

  1. 8
  2. 5
  3. 7
  4. 6

9. Let N = 553 + 173 – 723. N is divisible by

  1. both 3 and 13
  2. both 17 and 7
  3. both 3 and 17
  4. both 7 and 13

10. Consider the set S = {2, 3, 4, ......, 2n + 1}, where 'n' is a positive integer larger than 2007. Define X as the average of the odd integers in S and Y as the average of the even integers in S. What is the value of X – Y?

  1. 0
  2. n/2
  3. (n+1)/2n
  4. 1

Answers

  1. A
  2. D
  3. C
  4. A
  5. A
  6. C
  7. C
  8. D
  9. C
  10. D