Question

A number when divided by 143 leaves 31 as a remainder. What will be the remainder when same number is divided by 13?​

Answer 1

Answer:

5

Step-by-step explanation:

let the number be 174 as when 174 is divided by 143 it leaves 31. so dividing 174 by 13 it leaves remainder 5

another example ;.

let the number be 317 as when divided by 143 leaves remainder 31. so dividing 317 by 13 leaves remainder 5 only

HOPE THIS HELPS YOU

Answer 2

Answer:

We know that,

Dividend = Divisor × Quotient + Remainder (by Euclid's division lemma)

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.