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Question

Which of the following numbers is divisible by 11?

The correct answer is

5621

To check divisibility by 11, take the alternating sum of digits:
For 5621: 5 - 6 + 2 - 1 = 0
Since the result is divisible by 11, 5621 is divisible by 11.

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Important Questions from Divisibility and Remainder

  1. If a five digit number 247xy is divisible by 3, 7 and 11, then what is the value of (2y - 8x)?

  2. If the seven-digit number 94x29y6 is divisible by 72, then what is the value of (2x + 3y) for x ≠ y ?

  3. Find the greatest value of b so that 30a68b (a > b) is divisible by 11.

  4. What is the remainder when the product of 335, 608 and 853 is divided by 13?

  5. What is the least square number which is exactly divisible by 2, 3, 10, 18 and 20?
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