Question

$27Q$ leaves remainder $3$ when divided by $5$ and leaves remainder $1$ when divided by $2$, what is the remainder when it is divided by $3$?

Answer 1

Since, on dividing by 5 remainder is 3
then, Q can be $3,8$
Now, on dividing by 2 remainder is 1
then, Q can be $1,3,5,7,9$
Therefore Answer is $Q\to 3$
So, number $\to 273$
When it is divided by $3$ remainder $=0$