SSC GD 2025 PYQ — Question 51

SSC GD Const 2025 (English) - 20 Feb 2025 - Shift 2 • Quantitative Aptitude • Q51

LCM and HCF of two numbers are 198 and 33, respectively. If one of the numbers is 99, then find the other number.

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 66.

LCM = 198, HCF = 33

One number = 99

Find the other number

Number1 × Number2 = HCF × LCM

Let the other number = x

99 × x = 33 × 198

33 × 198 = 33 × (2 × 99)

= 33 × 2 × 99 = 66 × 99

99 × x = 66 × 99 → x = 66