Question

A number divided by 12 leaves remainder 7 , what will be the remainder if same number is divided by 6 ?​

Answer 1

Answer:

If a number has a remainder of 7 when divided by 12 it will have a remainder of 1 when divided by 3 --> 1 2 3 4 5 6 7. So all you have to do is divide all numbers by 3. sq01 wrote: If a number has a remainder of 7 when divided by 12 it will have a remainder of 1 when divided by 3 --> 1 2 3 4 5 6 7.

Answer 2

Answer:

When the number is divided by 6,the remainder is 1

Step-by-step explanation:

Given that,

A number divided by 12 leaves remainder 7.We are required to find the remainder when the same number is divided by 6.

Let the number be a,As the number leaves a remainder 7 and its divisor is 12,we can write it as $a=12p+7$

We can further expand the number as shown$a=12p+6+1=6(2p+1)+1$

Let us assume that $2p+1=b$.Hence,our number becomes

$a=6b+1$

When the number of above form is divided by 6,we can clearly interpret that it leaves a remainder of 1.

Therefore,When the number is divided by 6,the remainder is 1.

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