SSC CGL 2022 PYQ — Question 54

SSC CGL - 12 April 2022 - Shift 2 • Quantitative Aptitude • Q54

If 8A5146B is divisible by 88, then what is the value of B - A?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 1

8A51468 is divisible by 88

so, it is divisible by 8 and 11 also.

for, divisbility by 8

46B should be divisible by 8

so, can put B = 4 and 464 divisible by 8

then, B = 4

again, divisibiltiy by 11

⇒ (8 + 5 + 4 + 4) - (A + 1 + 6), divisble by 11

⇒ 21 - (A + 7) = 14 - A , divisble by 11

put A = 3 ⇒ 14 - 3 = 11

so, A = 3

now, B - A = 4 - 3 = 1