Playing with Numbers

12. A four-digit number 4ab5 is divisible by 55. Then the value of b – a is

• (a) 0
• (b) 1
• (c) 4
• (d) 5

13. Which of the following numbers is divisible by 99

• (a) 913462
• (b) 114345
• (c) 135792
• (d) 3572406

14. Let abc be a three digit number. Then abc + bca + cab is not divisible by

• (a) a + b + c
• (b) 3
• (c) 37
• (d) 9

15. If abc is a three digit number, then the number abc – a – b – c is divisible by

• (a) 9
• (b) 90
• (c) 10
• (d) 11

16. A three-digit number 42x is divisible by 9. The value of x is

• (a) 9
• (b) 3
• (c) 4
• (d) 2

17. If abc, cab, bca are three digit numbers formed by the digits a, b, and c, then the sum of these numbers is always divisible by 

• (a) 99
• (b) 100
• (c) 101
• (d) 111

18. Let ab be a two-digit number, then ab + ba is always divisible by 

• (a) 9
• (b) 8
• (c) 7
• (d) 11

19. A four-digit number aabb is divisible by 55. Then possible value(s) of b is/are

• (a) 0 and 2
• (b) 2 and 5
• (c) 0 and 5
• (d) 7

20. If the four-digit number 20x3 is a multiple of 3, then possible value(s) of x is/are

• (a) 0, 3 and 6
• (b) 1, 5 and 8
• (c) 1, 4 and 7
• (d) 0, 4 and 8

21. If x + y + z = 6 and z is an odd digit, then the three-digit number xyz is

• (a) an odd multiple of 3
• (b) odd multiple of 6
• (c) even multiple of 3
• (d) even multiple of 9

22. If N ÷ 5 leaves remainder 3 and N ÷ 2 leaves remainder 0, then N ÷ 10 leaves remainder 4.

• (a) 5
• (b) 4
• (c) 8
• (d) 3