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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. What is the sum of the digits of the least number which when divided by 12, 16 and 20 leaves the same remainder 6 in each case and it is divisible by 9?

  2. As nine-digit number 89563x87y is divisible by 72. What is the value of \(\sqrt{7x-3y}\)  ?

  3. The greatest number that on dividing 2675 and 2320 leaves the reminder 5 and 6 ,respectively is : 

  4. Find the greatest number that exactly divides 2880, 6525 and 8307.

  5. If a 10 - digit number 643x1145y2 is divisible by 88, then the value of (2x - 3y) for the largest value of y is :

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