Which of the following numbers is divisible by 11?

Correct option is D

Concept Used

To determine if a number is divisible by 11, we use the rule for divisibility by 11:
Take the alternating sum and difference of the digits of the number.
If the result is 0 or divisible by 11, then the number is divisible by 11.

Mathematically, if N is a number with digits $$d_1, d_2, \dots, d_n ,$$​ then N is divisible by 11 if:
​$$(d_1 - d_2 + d_3 - d_4 + \dots) \equiv 0 \div{11}$$​​

Solution:

Option A: 332155

Alternating sum: 3 - 3 + 2 - 1 + 5 - 5 = 1
Since 1 is not divisible by 11, 332155 is not divisible by 11.

Option B: 202963

Alternating sum: 2 - 0 + 2 - 9 + 6 - 3 = -2
Since -2 is not divisible by 11, 202963 is not divisible by 11.

Option C: 181560

Alternating sum: 1 - 8 + 1 - 5 + 6 - 0 = -5
Since -5 is not divisible by 11, 181560 is not divisible by 11.

Option D: 203456

Alternating sum: 2 - 0 + 3 - 4 + 5 - 6 = 0
Since 0 is divisible by 11, 203456 is divisible by 11.

The number that is divisible by 11 is:
D) 203456