Question

Ertain number when divided by 871 gives a remainder 83. what is the remainder when the same number is divided by 13?

Answer 1

134 is the answer for the following question

Answer 2

The remainder when the same number is divided by 13 is 5

Given :

A certain number when divided by 871 gives a remainder 83

To find :

The remainder when the same number is divided by 13

Solution :

Step 1 of 2 :

Find the general form of the number

Here it is given that a certain number when divided by 871 gives a remainder 83

So the number

= 871q + 83

Where q is the quotient

Step 2 of 2 :

Find the remainder when the same number is divided by 13

The number

= 871q + 83

= 13( 67q + 6) + 5

Now 13( 67q + 6) is divisible by 13

Hence the required number = 5

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