Question : Which number among 11368, 11638, 11863, and 12638 is divisible by 11?
Option 1: 11368
Option 2: 12638
Option 3: 11638
Option 4: 11863
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Correct Answer: 11638
Solution :
Given numbers: 11368, 11638, 11863, and 12638.
We know a number is divisible by 11 if the difference between the sum of digits at odd positions and the sum of digits at even positions is 0 or divisible by 11.
For 11368 ⇒ (1 + 3 + 8) – (1 + 6) = 5, which is not divisible by 11.
For 11638 ⇒ (1 + 6 + 8) – (1 + 3) = 11, which is divisible by 11.
For 11863 ⇒ (1 + 8 + 3) – (1 + 6) = 5, which is not divisible by 11.
For 12638 ⇒ (1 + 6 + 8) – (2 + 3) = 10, which is not divisible by 11.
So, 11638 is divisible by 11.
Hence, the correct answer is 11638.
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