Question

If the division $N+5$ leaves a remainder of 3, what might be the ones digit of N?

• A. $2$
• B. $3$
• C. $4$
• D. $6$

Answer 1

The correct option is B $3$

If $\frac{N}{5}$ gives remainder $3$, then $N=5a+3$ for natural number $a$.

For a being even, $5a$ has unit place $0$ and $3$ added gives unit place $3$

For a being odd, $5a$ has unit place $5$ and $3$ added gives unit place $8$

So, its either $3$ or $8$