A number when divided successively by $4$ and $5$ leaves remainder $1$ and $4$ respectively. When it is divided by $5$ and $4$, then the respective remainders are:
I thought of picking a number, say $9$, which satisfies the given conditions, and the answer it gave me was option $D$. But my textbook states that answer is $B$ (They have taken $37$ as their number ). I do not understand why they have taken number 37.
Is there any method for this ?