Question

Find the remainder if $29753$ is divided by $14$.

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer 1

Answer: (C)

$3$

We know the divisibility rule for $14$: The number is divisible by both $2$ and $7$.
So, here The last digit is not even are not divisible by $2$.
So, subtract $3$ to the last digit, we get $3-3=0$ (according to the divisibility rule $2$, the last digit is $0$)

Also it is divisible by 7
Therefore, the remainder is $3$.