Question

A number when divided by 16 gives the remainder 7. The remainder when the same
nber is divided by 8 is :
​

Answer 1

Answer:

The remainder is 7 only.

A number when divided by the multiple of another number gives the same remainder as another number.

Step-by-step explanation:

Eg: When 17 is divided by 4, the remainder is 1. When the same number is divided by 2, the remainder is the same.

Answer 2

The remainder is 7

Step-by-step explanation:

A number when divided by 16 gives the remainder 7.

let number be x which is equal to

$x=16n+7$ where n is any natural number.

If we divide x by 16 leaves remainder 7

$\Rightarrow \dfrac{16n+7}{16}$

$\Rightarrow n+\dfrac{7}{16}$

$\text{Remainder }=7$

Now divide same number 8

$\Rightarrow \dfrac{16n+7}{8}$

$\Rightarrow 2n+\dfrac{7}{8}$

$\text{Remainder }=7$

hence, the remainder is 7

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