Vidyalelo
Aptitude · Q612

Number System

Competitive Exams · Aptitude · question 612

Q612

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
Answer
D.
p = 2, q = 5

Answer: Option C

Solution

Answer: Option C
Solution:
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

p = 3, 6, 9
Hence, option C is correct