The HCF and LCM of two numbers is 6 and 5040 respectively If one of the numbers is 210 then the othe...........

Quantitative Aptitude (CPO) LCM, HCF

The HCF and LCM of two numbers is 6 and 5040 respectively, If one of the numbers is 210, then the other number is:

This questions was previously asked in

SSC CPO 14th-March-2019-Shift-1

144

630

256

- The HCF (Highest Common Factor) is 6, and the LCM (Lowest Common Multiple) is 5040.

- One number is given as 210.

- The formula connecting two numbers \(a\) and \(b\) is \( \text{HCF}(a, b) \times \text{LCM}(a, b) = a \times b \).

- Substituting the known values: \( 6 \times 5040 = 210 \times \text{Other Number} \).

- Simplifying gives \( 30240 = 210 \times \text{Other Number} \).

- This leads to \( \text{Other Number} = \frac{30240}{210} = 144 \).

- Option:1, 30 - This is incorrect; it does not satisfy the equation.

- Option:2, 144 - This is correct.

- Option:3, 630 - This is incorrect; it results in the wrong product.

- Option:4, 256 - This is incorrect; it doesn't satisfy the given conditions.

Submit Error