SSC GD 2024 PYQ — Question 55

SSC GD Const (English) - 27 Feb 2024 - Shift 3 • Quantitative Aptitude • Q55

Which of the following number is divisible by 11?

Show answer & explanation

Correct answer: B

Explanation

The correct answer is option 2 i.e. 9196.

Divisibility of 11: The difference between the sum of the digits at the odd places and even places is either 0 or multiple of 11, then the number is divisible by 11.

According to the given options,

1. 1442

Sum of digits at odd places = 1 + 4 = 5

Sum of digits at even places = 4 + 2 = 6

Difference = 5 - 6 = -1  (not divisible)

2. 9196

Sum of digits at odd places = 9 + 9 = 18

Sum of digits at even places = 1 + 6 = 7

Difference = 18 - 7 = 11  (divisible)

Hence the required answer is 9196.