SSC CGL 2020 PYQ — Question 35

SSC CGL Tier II - Quant - 16 Nov 2020 • Quantitative Aptitude • Q35

let x be the least number which when subtracts from 10424 gives a perfect square number. What is the least number by which x should be multiplied to get a perfect square?

Show answer & explanation

Correct answer: D

Explanation

The correct answer is option 4 i.e. 5

Nearest square to 10424 is 10404

x = 10424 - 10404 = 20.

Prime factor of 20 = 2 × 2 × 5

To make pairs one is missing.

To make 20 a perfect one needs to multiply the number by 5.