Which of the following number is not divisible by 36?

Correct option is B

Concept Used:
Divisibility Rule for 4:
A number is divisible by 4 if the last two digits of the number form a number divisible by 4.
Divisibility Rule for 9:
A number is divisible by 9 if the sum of its digits is divisible by 9.
Solution:
Option (a) 3816
Divisibility by 4:
Last two digits: 16.
16 ÷ 4 = 4 (no remainder).
3816 is divisible by 4.

Divisibility by 9:
Sum of digits: 3 + 8 + 1 + 6 = 18.
- 18 ÷ 9 = 2 (no remainder).
- 3816 is divisible by 9.
Conclusion: 3816 is divisible by 36.

Option (b) 3400
 Divisibility by 4:
Last two digits: 00.
00 ÷ 4 = 0 (no remainder).
3400 is divisible by 4.
Divisibility by 9:
Sum of digits: 3 + 4 + 0 + 0 = 7.
7 ÷ 9 = 0.777... (remainder exists).
3400 is not divisible by 9.
Conclusion: 3400 is not divisible by 36.

Option (c) 3636
Divisibility by 4:
Last two digits: 36.
36 ÷ 4 = 9 (no remainder).
3636 is divisible by 4.
Divisibility by 9:
Sum of digits: 3 + 6 + 3 + 6 = 18.
18 ÷ 9 = 2 (no remainder).
3636 is divisible by 9.
Conclusion: 3636 is divisible by 36.

Option(d) 3708
Divisibility by 4:
Last two digits: 08.
08 ÷ 4 = 2 (no remainder)

3708 is divisible by 4.
Divisibility by 9:

Sum of digits: 3 + 7 + 0 + 8 = 18.

18 ÷ 9 = 2 (no remainder).
3708 is divisible by 9.
Conclusion: 3708 is divisible by 36.