Question

Find a three-digit number using the digits $6,7,4$ such that the resultant number is divisible by 4

• A. $746$
• B. $764$
• C. $467$
• D. $647$

Answer 1

Answer: (B)

$764$

(a) Let us take a number $746$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\frac{746}{4}=\frac{373}{2}$

Therefore, $746$ is not divisible by $4$.

(b) Let us take a number $764$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\frac{764}{4}=191$

Therefore, $764$ is divisible by $4$.

(c) Let us take a number $467$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\frac{467}{4}$

Therefore, $467$ is not divisible by $4$.

(d) Let us take a number $647$ using the digits $6,7,4$ and divide it by $4$ as follows:

$\frac{647}{4}$

Therefore, $647$ is not divisible by $4$.

Hence, only $764$ is divisible by $4$.