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Which of the following numbers is divisible by 11?

  1. A
    908781
  2. B
    969331
  3. C
    701611
  4. D
    611571

Solution & Step-by-step Explanation

A number is divisible by 11 if the difference between the sum of the digits at odd positions and the sum of the digits at even positions is either 0 or a multiple of 11.
Let's check the options:
Option A) 908781
Sum of odd positions (from right): 1+7+0=8
Sum of even positions (from right): 8+8+9=25
Difference: ∣8−25∣=17 (Not divisible by 11)

Option B) 969331
Sum of odd positions: 1+3+6=10
Sum of even positions: 3+9+9=21
Difference: ∣10−21∣=11 (Divisible by 11)

Option C) 701611
Sum of odd positions: 1+6+0=7
Sum of even positions: 1+1+7=9
Difference: ∣7−9∣=2 (Not divisible by 11)

Option D) 611571
Sum of odd positions: 1+5+1=7
Sum of even positions: 7+1+6=14
Difference: ∣7−14∣=7 (Not divisible by 11)

Thus, 969331 is divisible by 11.

Practice this question

Try it yourself before checking the explanation above.

Which of the following numbers is divisible by 11?
A
908781
B
969331
C
701611
D
611571

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