The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3 The ...........

Quantitative Aptitude (MTS) LCM, HCF

The LCM of two positive integers is twice the larger number and the HCF of the two numbers is 3. The smaller number is:

This questions was previously asked in

SSC MTS 6th July 2022 Shift-1

- We have two numbers \(a\) and \(b\) where the LCM is twice the larger number.

- The HCF (or GCD) of these two numbers is given as 3.

- The relationship \(a \times b = \text{LCM}(a,b) \times \text{HCF}(a,b)\) should hold.

- Let \(a\) be the smaller number and \(b\) the larger to formulate equations.

- \(\text{LCM}(a, b) = 2b\) and \(\text{HCF}(a, b) = 3\).

- Therefore, \(a \times b = 2b \times 3 = 6b\).

- Simplifying gives \(a = 6\).

*Options:*

1. 6

2. 10

3. 9

4. 8

Your Statement:

Submit Error