SSC Selection Post 2022 PYQ — Question 73

The correct answer is option 1 i.e. 69.

If a number is divisible by both 7 and 33, then it is divisible by: LCM(7, 33) = 231

So, the number 602XY must be divisible by 231.

Try all values of X and Y from 0 to 9

Let's form numbers: 60200 to 60299

Now check which number is divisible by 231 = 60200/231 ≈ 260.6 ⇒ Try 231 × 261 = 60291

60291 is divisible by 231

So, X = 9, Y = 1

Hence

⇒ 8X − 3Y = 8 × 9 − 3 × 1 = 72 − 3 = 69