Question

A number N when divided by 16 gives the remainder 5.what is the remainder when the same number is divided by 8.

Answer 1

N/16=5

N=16×5

N=80

80/8=10

Answer 2

The remainder is 5 when the same number is divided by 8

Step-by-step explanation:

A  number N is divided by 16

Remainder=5

By Euclid algorithm

$N=16x+5$

Where x is any positive integer

$N=5mod(16)$

By using a=bmod k

Where a=Dividend

b=Remainder

k=Divisor

Substitute 2x=z

$N=8z+5$

$N=5mod(8)$

Compare with $a=bmodk$

Where b=Remainder

Then, we get remainder=5

Hence, the same number is divided by 8 then it gives same  remainder 5.

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