Question

A number divided by 12 gives 8 as remainder if the same number is divided by 4?​

Answer 1

Answer:

the number be x

= 12x8

= 96

there for x=96

= 4x24

= 96

there same number divided 4 is 24.

Answer 2

Question :

A number divided by 12 gives 8 as remainder. If the same number is divided by 4, what are the possible remainders ?

ANSWER :

When n is divided by 4, it gives remainder 0.

Given :

A number divided by 12 gives 8 as remainder

To find :

All possible remainders if the same number is divided by 4

Solution :

Let the number be n = 12m + 8, m € Z

Case 1 :

When m = 0 ,

n = 12 × 0 + 8

n = 8

n/4 gives remainder (8/4) 0

Case 2 :

When m = 1,

n = 12 × 1 + 8

n = 20

n/4 gives remainder (20/4) 0

Case 3 :

When m = 2,

n = 12 × 2 + 8

n = 32

n/4 gives remainder (32/4) 0

Case 4 :

When m = 3,

n = 12 × 3 + 8

n = 44

n/4 gives remainder (44/4) 0

So, when n is divided by 4, it gives remainder 0.

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