Question

when a no is divided by 5 7 11 the remainders are 3 1 10 respectively when this is divided by 5 ×7×11 or 385 what will be the real remainder​

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.