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SSC MTS 2022 PYQ — Question 54

SSC MTS - 19 July 2022 - Shift 1 • Quantitative Aptitude • Q54

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What is the largest two-digit number that is divisible by both 7 and 3?

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Correct answer: D

Explanation

The correct answer is option 4 i.e. 84.

We know that the largest two-digit number is 99.

A number that is to be divisible by 7 and 3, then the number should be divisible by LCM of (7, 3) i.e. 21.

Since 99 is not divisible by 21, 

{(21 × 4) + 15}/21

Since 15 is the remainder, 

So, subtracting 15 from 99 will give the number that is divisible by 21.

Hence the required number is 99 - 15 = 84.