Which of the following numbers is divisible by 11?
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 97174.
Divisibility rule of 11:- The given number can only be completely divided by 11 if the difference between the sum of digits at odd position and the sum of digits at even position in a number is 0 or 11.
Option 1: 97174
(9 + 1 + 4) - (7 + 7) = 14 - 14 = 0
Hence, it is divisible by 11
Option 2: 56923
(5 + 9 + 3) - (6 + 2) = 17 - 8 = 9
Hence, it is not divisible by 11
Option 3: 63962
(6 + 9 + 2) - (3 + 6) = 17 - 9 = 8
Hence, it is not divisible by 11
Option 4: 17295
(1 + 2 + 5) - (7 + 9) = 8 - 16 = - 8
Hence, it is not divisible by 11