SSC MTS 2022 PYQ — Question 62

SSC MTS - 15 July 2022 - Shift 2 • Quantitative Aptitude • Q62

Find the second smallest number which, when divided by 81 or 63, leaves a remainder of 7 in each case.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 1141.

LCM of (81, 63) = 567

According to the question,

The smallest number = 567x + 7, when x = 1

The second smallest number = 567x + 7, when x = 2 

Therefore required number = 567 × 2 + 7 = 1134 + 7 = 1141

Hence the second smallest number will be 1141.