Question

If the sum of digits of a number is divisible by three, then the number is always divisible by

• A. $2$
• B. $3$
• C. $6$
• D. $9$

Answer 1

The correct option is B

$3$

Step 1: Explanation for correct option

For option (B)

Divisibility Rule for $3$- It states that if the sum of digits of a number is divisible by $3$, then the number is also divisible by $3$.

Consider an example, let's take a number $132$

sum of digits $=1+3+2=6$

$6$ is divisible by $3$ hence, $132$ is also be divisible by $3.$

So option (B) is correct.

Step 2: Explanation for incorrect option

For option (A)

Divisibility Rule for $2$- It states that if the last digit of any number is even then it will be divisible by $2$.

So option (A ) is incorrect.

For option (C)

Divisibility Rule for $6$- It states that if a number is divisible by $2$ and $3$ then it will be divisible by $6$.

So option (C) is incorrect.

For option (D)

Divisibility Rule for $9$- It states that if the sum of digits of a number is divisible by $9$, then the number is also divisible by $9$.

So option (D) is incorrect.

Hence, option (B) is correct