Math – Number System MCQ 1- 25

1. The number 93248×6 are divisible by 11. Then digit x is equal to.

2. If the 15 digit number 4a5124356789734 is divisible by 9, then the value of “a” is …………

3. How many numbers from 3 to 60 are odd numbers that are exactly divisible by 5?

4. When a number n is divided by 5, the remainder is 2. When n2 is divided by 5, the remainder will be:

5. If 11-digit number 88p554085k6, k ≠ p, is divisible by 72, then what is the value of (3k + 2p)?

6. How many numbers of the first 100 positive integers are divisible by 3 or 4 without a remainder?

7. In between 250–1000, how many numbers are completely divisible by 5, 6 & 7.

8. When a number is divided by a divisor, the remainder is 16. When twice the original number is divided by the same divisor, the remainder is 3. Find the value of that divisor

9. If the 7 digit number 504x5y3 is divisible by 11, then one of the values of the sum of x and y is:

10. Which of the following numbers is divisible completely by both 9 and 11 ?

11. When 19300 is divided by 20, find the remainder.

12. If n is a natural number then n3–n is always divisible by……………

13. If 11-digit number 88p554085k6, k ≠ p, is divisible by 72, then what is the value of (3k + 2p)?

14. Find the greatest number of five digits, which is exactly divisible by 468.

15. Find the remainder, when 171 × 172 × 173 is divided by 17.

16. How many numbers between 1 and 700 are completely divisible by 17?

17. If pq is a two-digit number, then pq – qp will be completely divisible by:

18. Which of the following number is NOT divisible by 8?

19. Which of the following numbers is NOT divisible by 9 ?

20. If the number 6484y6 is divisible by 8, then find the least value of y?

21. Which of the following is the greatest three digit number that is divisible by 13?

22. A number when divided by 7 leaves a remainder 4. What will be the remainder when the square of the same number is divided by 7?

23. If the 8 digit number 3x5479y4 is divisible by 88 and the 8 digit number 425139z2 is divisible by 9, then find the maximum possible value of (3x + 2y – z).

24. The largest four-digit number that is exactly divisible by 83 is:

25. The smallest positive number which must be added to the greatest number of 4 digits in order that the sum may be exactly divisible by 307 is:

26. How many numbers between 300 and 1000 are divisible by 7?