If 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:

A. p = 5, q = 5

B. p = 3, q = 0

C. p = 3, q = 5

D. p = 2, q = 5

Answer: Option C

Solution(By Examveda Team)

678p37q is divisible by 75 means it will be divisible by 25 & 3
If 678p37q is divisible by 25 then q = 5
Now check for 3
6 + 7 + 8 + 3 + 7 + q + p
$$ = \frac{{36 + p}}{3}$$
p = 3, 6, 9
Hence, option C is correct