Which of the following numbers is divisible by 99?

Correct option is D

Formula Used:

A number is divisible by 99 if it is divisible by 9 and 11.

Solution:

Checking divisibility by 9 and 11

A: 6 + 7 + 5 + 8 + 3 + 2 + 3 = 34 (not divisible by 9)

B: 6 + 7 + 5 + 8 + 4 + 3 + 2 = 35 (not divisible by 9)

C: 6 + 7 + 5 + 8 + 4 + 2 + 4 = 36  (divisible by 9)

Now for 11; 

Odd places: 4 + 4 + 5 + 6 = 19

Even places: 2 + 8 + 7 = 17

so,

= 19 - 17 = 2 $$\neq$$ 0 (Not divisible by 11)

D: 6 + 7 + 5 + 8 + 4 + 3 + 3 = 36  (divisible by 9)

Odd places: 3 + 4 + 5 + 6 = 18

Even places: 3 + 8 + 7 = 18

so, 

18 - 18 = 0  (Divisible by 11)

Only D pass divisibility by 99.