Question

If N divided by 5 leaves a remainder of 4 , and N divided by 2 leaves a remainder of 1 , then the one's digit of N is _____ .

• A. $3$
• B. $4$
• C. $9$
• D. $7$

Answer 1

The correct option is C $9$

$N$ divided by $5$ leaves a remainder of $4$

$\to$ We know, A number divisible by $5$ has Unit Digit $0$ or $5$.

$\Rightarrow$ Unit Digit of $N=4$ or $9$

Also,

$N$ divided by $2$ leaves a remainder of $1$

$\Rightarrow$ $N$ is Odd Number.

$\therefore$ Unit Digit of $N=9$