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

Question

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

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Solution

The number can be expressed in the form of 729k + 56, where k is the quotient when the number is divided by 729.

When this number is divided by 27, we can separate it as follows:

729k/27 + 56/27

The first term 729k/27 simplifies to 27k, which gives a remainder of 0 when divided by 27 because 27k is a multiple of 27.

The second term 56/27 gives a remainder of 2 when divided by 27 because 56 = 27*2 + 2.

So, the remainder when the original number is divided by 27 is 2.

This problem has been solved

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