SSC GD 2025 PYQ — Question 45

SSC GD Const 2025 (English) - 21 Feb 2025 - Shift 3 • Quantitative Aptitude • Q45

The LCM of two numbers is 105 and numbers are in ratio of 5 : 3, then the sum of the numbers is:

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 56 . 

Let numbers = 5k and 3k

LCM = k × LCM(5,3) = 15k 

Given, 15k = 105

k = 105 ÷ 15 = 7

Numbers = 5×7 = 35 and 3×7 = 21

Sum = 35 + 21 = 56