Question

a number is successively didided by3,7and8.the remainder is 2,4,and3.if the last quotient is13,find the number​

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

120 + 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.