SSC CGL 2022 PYQ — Question 67

SSC CGL - 12 April 2022 - Shift 3 • Quantitative Aptitude • Q67

The 8A5146B is divisible by 88, then what is the value of BA?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 64

The number must be divisible by 8 and 11. 

If 8A5146B is divisible by 8, then 46B must be divisible by 8

Thus, B = 4 such that 464 is divisible by 8.

8A51464 must be divisible by 11.

Thus, (4 + 4 + 5 + 8) - (6 + 1 + A) = 14 - A must be divisible by 11. 

The only value of can is 3 such that 14 - 3 = 11 is divisible by 11.

Thus, A = 3 and B = 4

BA = 43 = 64