SSC MTS 2019 PYQ — Question 68

SSC MTS Previous Year - 05 August 2019 - Shift 1 • Quantitative Aptitude • Q68

What is the largest two digit number which when divided by 6 and 5 leaves remainder 1 in each case?

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. 91

Understanding

Application

Calculation

First we need to get LCM of 5 and 6.

LCM of 5 and 6 = 30

 

Since the number is largest 2 digit number.

Largest 2 digit number which is LCM of 5 and 6 = 90

⇒ 30 × 3 = 90

Since the number when divided by 6 and 5 leaves remainder 1 in each case

Required number = 91

⇒ 90 + 1 = 91