PEA305

1. Find the following for the number 84? I. Number of odd factors. II. Number of even factors.

a) 4, 8 b) 5, 5 c) 8, 12 d) 7, 9

2. How many factors of 1200 are odd integers?

a) 6 b) 8 c) 12 d) 22

3. Find the total number of prime factors in 411 × 75 × 11?

a) 17 b) 27 c) 28 d) 30

4. Find the sum of factors of 18?

a) 6 b) 13 c) 39 d) 35

5. Find the number of factors of 6!?

a) 25 b) 30 c) 35 d) 32

6. Find the number of trailing zeroes in the expansion of 23!?

a) 5 b) 4 c) 20 d) 21

7. A number when divided by 54 leaves a remainder of 31. Find the remainder when the same number is divided by 27?

a) 4 b) 23 c) 15 d) (a) or (b)

8. Find the remainder when 293 is divided by 7?

a) 1 b) 2 c) 4 d) 6

9. Find the remainder when 245 is divided by 5?

a) 0 b) 1 c) 4 d) None of these

10. The remainder, when (1523 + 2323) is divided by 19, is?

a) 4 b) 15 c) 0 d) 18

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

a) 0 b) 2 c) 3 d) 4

12. (74n - 64n), where n is an integer > 0, is divisible by?

a) 13 b) 5 c) 17 d) All of these

13. Find the remainder when n is divided by 12 where N = 1821 × 1823 × 1827?

a) 9 b) 12 c) 15 d) 18

14. A number when divided by 5 leaves 3 as a remainder. What will be the remainder when the square of this number is divided by 5?

a) 0 b) 1 c) 2 d) 4

15. In a division sum, the remainder is 6, and the divisor is 5 times the quotient and is obtained by adding 2 to the thrice of the remainder. The dividend is?

a) 40 b) 42 c) 80 d) 86

16. Find the number of trailing zeroes in the expansion of 1000!?

a) 250 b) 300 c) 249 d) 245

17. Find the number of zeros in 2 × 3 × 4 × 5 × 125?

a) 30 b) 35 c) 38 d) 31

18. Find the highest power of 24 in 150!?

a) 48 b) 72 c) 58 d) 45

19. Find the highest power of 30 in 40!?

a) 12 b) 10 c) 8 d) 9

Factors, Factorials, and Remainders MCQs

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