SSC MTS 2023 PYQ — Question 10

SSC MTS - 04 May 2023 - Shift 2 • Quantitative Aptitude • Q10

If the LCM of two numbers is 72 and their product is 1728, then what is the HCF of the numbers? 

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 24.

LCM of two numbers = 72

The product of the numbers = 1728

We know that 

LCM × HCF = 1st number × 2nd number

⇒ 72  × HCF = 1728

HCF = 1728/72 = 24