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SSC CGL 2022 PYQ — Question 55

SSC CGL - 02 Dec 2022 - Shift 4 • Quantitative Aptitude • Q55

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Three numbers are in the ratio of 2 : 3 : 5 and their LCM is 90. Find their HCF.

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 3.

Given:

Ratio of numbers = 2 : 3 : 5

LCM = 90

Explanation:

Let the three numbers be 2x, 3x and 5x respectively.

LCM of (2x, 3x, 5x) = 30x

According to the given question, 30x = 90

⇒ x = 3

So, the three numbers are 6, 9, 15.

Now, 6 = 2 × 3

9 = 3 × 3

15 = 3 × 5

So, the HCF of three numbers (6, 9, 15) is 3.