SSC CHSL 2024 PYQ — Question 62

SSC CHSL - 04 July 2024 - Shift 1 • Quantitative Aptitude • Q62

Which of the following numbers is divisible by 22?

Show answer & explanation

Correct answer: A

Explanation

The correct answer is option 1 i.e. 893002.

If a number is to be divisible by 22, it should be divisible by both 2 and 11.

Divisibility rule of 2: Every even number, i.e., a number which ends with 2, 4, 6, 8 and 0 is divisible by 2.

Divisibility rule of 11: A number is divisible by 11 when the difference between the sum of the digits of the number at odd places and the sum of the digits of the number at the even places is either 0 or 11.

According to the given options,

1. 893002

This is an even number and is divisible by 2.

Sum of digits at odd places = 8 + 3 + 0 = 11

Sum of digits at even places = 9 + 0 + 2 = 11

Difference = 0

Hence the number is divisible by 22.