Question

a number when divided by 361 gives a remainder 47 if the same number is divided by 19 then the remainder obtained is

Answer 1

Given:

a number when divided by 361 gives a remainder 47

To find:

The remainder when the same number is divided by 19

Solution:

This is the direct question of the remainder theorem which states that:

If any of the polynomial f(x) is divided by x then we get a quotient and the remainder

which is given by

f(x) = x.q(x) + R,

where q(x) is the quotient and R is a constant

In the question we have given a number when divided by 361 gives a remainder 47

and we are asked to find the remainder when the same number is divided by 19

and as we know that 361 is completely divisible by 19 so instead of finding the number we can directly find the remainder by dividing 47 by 19

• 47/19
• 38+9/19
• remainder is 9

Hence, The remainder when the same number is divided by 19 is 9