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SSC MTS 2022 PYQ — Question 58

SSC MTS - 20 July 2022 - Shift 3 • Quantitative Aptitude • Q58

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The HCF and the LCM of two numbers are 35 and 840, respectively. If the ratio of the two numbers is 3 : 8, then the smaller of the two numbers is:

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Correct answer: C

Explanation

The correct answer is option 3 i.e. 105

Given:

The HCF and the LCM of two numbers are 35 and 840

The ratio of the two numbers is 3 : 8

Concept used:

LCM × HCF = N1 × N2           ----- (1)

Calculations:

Let the two numbers be 3x and 8x

Using equation (1), we get

⇒ 35 × 840 = 24x2

⇒ x2 = 1225

⇒ x = 35

Smaller number = 3x = 3 × 35 = 105