Question

When a number is divided by 119, the remainder is 8. When the same number is divided by 17, what will be the remainder?

• A. 8
• B. 7
• C. 5
• D. 6

Answer 1

Answer:

A. 8

Let the number be x

Quotient = q

Divisor (d) = 119

Remainder (r) = 8

We know that,

Dividend = (Divisor $\times$ Quotient) + remainder

⇒ x = (d $\times$ q) + r

x = (119 $\times$ q) + 8

Same number when divided by "17":

x = (17$\times{7}\times{q})$ + 8

x = 17 (7q + 1) + 8

∴ The remainder is 8

Alternative Method:

When a number is divided by 119, the remainder is 8

When the same number is divided by 17, the remainder will be 8 because 119 is a multiple of 17.