SSC CHSL 2022 PYQ — Question 52

The correct answer is Option 1 i.e. 3.

If a number is divisible by 88 then, it must be divisible by 8 and 11.

Divisibility rule of 8: If the last three digits are 000 and if the last three digits form a number that is divisible by 8 then it can be divisible by 8

Divisibility rule of 11: The given number can only be completely divided by 11 if the difference between the sum of digits at the odd position and the sum of digits at an even position in a number is 0 or 11

Now,

The last 3 digits are divisible by 8, which means 46Y is divisible by 8

Thus, the value of Y = 4, which makes 464 divisible by 8

So, Y = 4

Now, for a number to be divisible by 11, we have

⇒ 5 + 8 + 4 + 4 - (X + 1 + 6) = 0/11/22

⇒ 21 - X - 7 = 0/11/22

⇒ 14 - X = 11

Hence, X = 14 - 11 = 3