Question

A number when divided by 119 leaves 19 as remainder if the same number is divided by 17 the remainder obtained.

a) 2

b) 3

c) 1

d) 5

Answer 1

Correct option: (a) 2

Explanation:

Let, the Number = x

Quotient = q

Divisor = (d) = 119

Remainder = (r) = 19

X = (d x q) + r

X = (119 x q) +19

Same number when divided by "17"

x = (17 x 7 x q) + 17 + 2

= 17 (7q + 1) + 2

Remainder is "2"