SSC GD 2023 PYQ — Question 59

SSC GD Constable (English) - 25 Jan 2023 - Shift 3 • Quantitative Aptitude • Q59

If a number 'a' is divisible by 18 and another number 'b' is divisible by 12, then find the number by which (a2 - b2) is divisible.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. 36.

If a is divisible by 18 and b is divisible by 12 

Then, (a2 - b2) is divisible by the L.C.M of (18 and 12)

So,

L.C.M(18 and 12) = 36

Hence,

(a2 - b2) is divisible by 36