A number when divided by 143 leaves 31 as remainder. What will be the

1.	A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13? (a) 0 (b) 1 (c) 3 (d) 5
Answer» (d) 5 We know, Dividend = Divisor × Quotient + Remainder. It is given that: Divisor = 143 Remainder = 13 So, the given number is in the form of 143x + 31, where x is the quotient. ∴ 143x + 31 = 13 (11x) + (13 × 2) + 5 = 13 (11x + 2) + 5 Thus, the remainder will be 5 when the same number is divided by 13.

A number when divided by 143 leaves 31 as remainder. What will be the remainder when the same number is divided by 13? (a) 0 (b) 1 (c) 3 (d) 5

Answer»

(d) 5

We know,

Dividend = Divisor × Quotient + Remainder.

It is given that:

Divisor = 143

Remainder = 13

So, the given number is in the form of 143x + 31, where x is the quotient.

∴ 143x + 31 = 13 (11x) + (13 × 2) + 5 = 13 (11x + 2) + 5

Thus, the remainder will be 5 when the same number is divided by 13.