SSC GD 2023 PYQ — Question 60

SSC GD Constable (English) - 23 Jan 2023 - Shift 3 • Quantitative Aptitude • Q60

The HCF and LCM of two natural numbers are 7 and 84, respectively. If one of the numbers is 7, then the difference between the two numbers is:

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 77.

HCF × LCM = m × n

According to the question

⇒ m = 7

⇒ HCF = 7

⇒ LCM = 84

Calculation

⇒ 7 × 84 = 7 × n

⇒ n = 84

Hence, the difference between the numbers = 84 - 7 = 77