Question

A number N when divided by 16 gives the remainder 5.what is the remainder when the same number is divided by 8.
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Answer 1

Answer:

The remainder is 0

Step-by-step explanation:

when 80 which is the number is divided by 8 it gives 10 as the quotient and 0 as the remainder

Answer 2

The remainder would be 5.

Step-by-step explanation:

Let N be a number such that,

N = 5( mod 16)

i.e.

N = 16x + 5

Where, x is any positive integer.

We can write,

N = 8(2x) + 5

if x = positive integer, 2x is also a positive integer.

Let 2x = y,

N = 8y + 5

Thus, N = 5(mod 8)

Hence, the remainder when the same number is divided by 8 would also be 5.

#Learn more:

When n is divided by 14 the reminder is 5 what is the remainder when same number is divided by 7?

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