Which of the following numbers is divisible by 11?

Concept Used:

A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions equal to 0 or is divisible by 11.

Calculation:

For 5621:

Odd position digits = 5, 2 and Even position digits = 6, 1

Sum of odd position digits = 5 + 2 = 7

Sum of even position digits = 6 + 1 = 7

Difference = |7 - 7| = 0

Hence, 5621 is divisible by 11.

For 3273:

Odd position digits = 3, 7 and Even position digits = 2, 3

Sum of odd position digits = 3 + 7 = 10

Sum of even position digits = 2 + 3 = 5

Difference = |10 - 5| = 5

5 is not divisible by 11. Hence, 3273 is not divisible by 11.

For 4836:

Odd position digits = 4, 3 and Even position digits = 8, 6

Sum of odd position digits = 4 + 3 = 7

Sum of even position digits = 8 + 6 = 14

Difference = |7 - 14| = 7

7 is not divisible by 11. Hence, 4836 is not divisible by 11.

For 2987:

Odd position digits = 2, 8 and Even position digits = 9, 7

Sum of odd position digits = 2 + 8 = 10

Sum of even position digits = 9 + 7 = 16

Difference = |10 - 16| = 6

6 is not divisible by 11. Hence, 2987 is not divisible by 11.

The correct answer is option 1 (5621).