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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 all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?

  2. If 3 2019 is divided by 10, then what is the remainder?

  3. The number 3798125P369 is divisible by 7. What is the value of the digit P?

  4. Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.

    Which of the following is/are correct?

    1. S is always divisible by 74.

    2. S is always divisible by 9.

    select the correct answer using the code given below:

  5. How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?

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