SSC CPO 2022 PYQ — Question 125

SSC CPO - 11 Nov 2022 - Shift 2 • Quantitative Aptitude • Q125

The LCM of two numbers is 840 and their HCF is 7. If one of the numbers is 56, find the other.

Show answer & explanation

Correct answer: C

Explanation

The correct answer is Option 3 i.e. 105.

We know that,

LCM × HCF = Product of the two numbers

Let the other number be x

According to the question,

⇒ LCM × HCF = 56 × x

⇒ 840 × 7 = 56 × x

⇒ x = 840 × 7/56

⇒ x = 105

Hence, the other number is 105