Question

Three numbers are in the ratio 2 : 3 : 5 and their HCF is 6. The numbers are :

• A. 12, 18, 30
• B. 8, 12, 20
• C. 16, 24, 40
• D. 4, 6, 10

Hint:

When working with ratios and HCF, the common factor \( x \) is the HCF divided by the ratio.

Answer 1

The Correct Option is A

Let the three numbers be \( 2x, 3x, 5x \). The HCF of these numbers is 6, so \( x = 6 \). Thus, the numbers are: \[ 2x = 12, \quad 3x = 18, \quad 5x = 30. \] Therefore, the numbers are 12, 18, and 30, which corresponds to option (A).