SSC CPO 2019 PYQ — Question 114

SSC CPO Tier I - 13th December 2019 - Shift 2 • Quantitative Aptitude • Q114

Let x be the least number which when divided by 8, 9, 12, 14 and 36 leaves a remainder of 4 in each case, but x is divisible by 11. The sum of the digit of x is ........

Show answer & explanation

Correct answer: D

Explanation

The correct answer is Option 4 i.e. 4

Application

Since we have to find the least no.

LCM of 8, 9, 12, 14 and 36

= 504 + [4 Remainder]

and check whether it is divisible by 11

508 not divisible

504 × 2 + 4 = 1012

yes, it is divisible by 11

Hence,

The sum of the number

= 1 + 0 + 1 + 2 = 4