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Select the correct answerA number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?Options0241

Question

Select the correct answerA number when divided by 729 gives a remainder of 56. What will we get as remainder if the same number is divided by 27 ?Options0241

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Solution

The answer is 2.

Here's the step-by-step solution:

  1. We know that 729 is a multiple of 27.

  2. When a number is divided by 729 and gives a remainder of 56, it means that the number is in the form of 729n + 56, where n is the quotient.

  3. If we divide the same number by 27, we are essentially dividing (729n + 56) by 27.

  4. Since 729 is a multiple of 27, 729n will be completely divisible by 27, leaving no remainder.

  5. Therefore, the remainder when the number is divided by 27 will be the same as when 56 is divided by 27.

  6. When 56 is divided by 27, the remainder is 2.

So, the correct answer is 2.

This problem has been solved

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