Question

When a number successive divided by 8,4,6 give remaining 3,2,1 respectively. Find the remainder of the divided number is successble divided by 6, 8,4​

Answer 1

Answer:

Let the quotient be q when divided by 8.

n=3(5(8q+7)+4)+1

=3(40q+39)+1

=120q+117+1

=120q+118.

Now, if it is divided by 8.

We have 8(15q+14)+6, remainder 6.

And if 15q+14 is divisible by 5. Remainder will be 4.

And if 3q+2 is divisible by 3.

We get remainder 2.

Hence, will be the remainder, 6,4,2.

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