Vidyalelo
Aptitude · Q520

Number System

Competitive Exams · Aptitude · question 520

Q520

If a number 774958A96B is divisible by 8 and 9, the respective values of A and B will be :

A.
5 and 8
B.
7 and 8
C.
8 and 0
Answer
D.
None of these

Answer: Option C

Solution

Answer: Option C
Solution:
Since 774958A96B is divisible by 8, so the number 96B must be divisible by 8.
So, B = 0, as 960 is divisible by 8.
Now, 774958A960 is divisible by 9.
So, (55 + A) must be divisible by 9.
This happens when A = 8
Hence, A = 8 and B = 0