Which of the following numbers is divisible by 11?
Show answer & explanation
Correct answer: C
Explanation
The correct answer is option 3 i.e. 88,65,747.
1) 88,65,987
⇒ Sum of digits at odd positions: 8 + 6 + 9 + 7 = 30
⇒ Sum of digits at even positions: 8 + 5 + 8 = 21
⇒ Difference = 30 - 21 = 9 (Not divisible by 11)
2) 55,78,961
⇒ Sum of digits at odd positions: 5 + 7 + 9 + 1 = 22
⇒ Sum of digits at even positions: 5 + 8 + 6 = 19
⇒ Difference = 22 - 19 = 3 (Not divisible by 11)
3) 88,65,747
⇒ Sum of digits at odd positions: 8 + 6 + 7 + 7 = 28
⇒ Sum of digits at even positions: 8 + 5 + 4 = 17
⇒ Difference = 28 - 17 = 11 (Divisible by 11)
4) 45,12,458
⇒ Sum of digits at odd positions: 4 + 1 + 4 + 8 = 17
⇒ Sum of digits at even positions: 5 + 2 + 5 = 12
⇒ Difference = 17 - 12 = 5 (Not divisible by 11)
∴ The number 88,65,747 is divisible by 11.