SSC CPO 2019 PYQ — Question 141

The correct answer is Option 4 i.e. 13

Given that the 5-digit number 538xy is divisible by 3, 7, and 11.

So we will first evaluate: LCM (3, 7, 11) = 3 × 7 × 11 = 231

The largest possible value of 538xy is 53899

When we divide 53899 by 231 we obtain 76 as the remainder.

So required number = 53899 - 76 = 53823

Hence , x = 2 and y = 3

So, x² + y² = 4 + 9 = 13