SSC GD Constable 2021 · Question 341 of 377

LCM of two prime numbers x and y (x > y) is 253. The difference between the numbers x and y is:

number-system

A14
B16
C11
D12Correct

Answer: D. 12

Explanation

Given: Two prime numbers x and y is 253 (x > y) Calculation: HCF of two prime numbers is always 1 So, 1 × 253 = x × y ⇒ 253 = xy Now by prime factorizing the number we get 253 = 11 × 23 So, the numbers are 11 and 23 Difference = 23 - 11 ⇒ 12 ∴ The difference between the numbers x and y is 12.

Source: SSC GD Constable 2021 Prev. Year Paper (2021-12-02 Shift 3) English — Prepp (with solutions) · reliable-secondary

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