Question

A positive number is divided by 132, which gives a remainder of 9. Find the remainder, if the same number is divided by 11.​
please answer fast

Answer 1

Answer:

We know that,

Dividend=(Divisor×Quotient)+Remainder

Let the number be

′

n

′

=114q+21.

Then n=(6×19)q+21

=19×(6q)+21

=19×(6q+1)+2

Hence, the remainder is 2.

Answer 2

Step-by-step explanation:

Let a be the number that is divided by 132 and gives a remainder of 9.

By Euclid Division Lemma, we can say

a = 132q + 9

or, a = 11 × 12q + 9

a = 11(12q) + 9

Here If we compare [a = 11 (12q) + 9] by [ a = bq + r]

we got, b = 11

q = 12q

and r = 9

Therefore when a is divided by 11 the remainder will be 9.