**1. [2^(16) – 1] is divisible by**

(a) 11

(b) 13

(c) 17

**2. When a number is divided by 24, the remainder is 16. The remainder when the same number is divided by 12 is**

(a) 3

(b) 4

(c) 6

(d) 8

**3. A number, when divided by 136, leaves remainder 36. If the same number is divided by 17, the remainder will be**

(a) 9

(b) 7

(c) 3

(d) 2

**4. Two numbers, when divided by 17, leave remainders 13 and 11 respectively. If the sum of those two numbers is divided by 17, the remainder will be**

(a) 13

(b) 11

(c) 7

(d) 4

**5. How many 3-digit numbers, in all, are divisible by 6?**

(a) 140

(b) 150

(c) 160

(d) 170

**6. A number when divided by 5 leaves a remainder 3. What is the remainder when the square of the same number is divided by 5?**

(a) 1

(b) 2

(c) 3

(d) 4

**7. If two numbers are each divided by the same divisor, the remainders are 3 and 4, respectively. If the sum of the two numbers be divided by the same divisor, the remainder is 2. The divisor is**

(a) 9

(b) 7

(c) 5

(d) 3

**8. It is given that [2^(32) + 1] is exactly divisible by a certain number. Which one of the following is also definitely divisible by the same number?**

(a) [2^(96) + 1]

(b) [7 × 2^(33)]

(c) [2^(16) – 1]

(d) [2^(16) + 1]

**9. In a question on division, the divisor is 7 times the quotient and 3 times the remainder. If the remainder is 28, then the dividend is**

(a) 588

(b) 784

(c) 823

(d) 1036

**10. 64329 is divided by a certain number. While dividing, the numbers, 175, 114 and 213 appear as three successive remainders. The divisor is**

(a) 184

(b) 224

(c) 234

(d) 296