Question

$234$ monsters are divided into equal groups based on their appointment. Select the correct statement.

• A. Cannot be determined
• B. $234$ monsters can be divided into $9$ groups
• C. $234$ monsters can be divided into $5$ groups.
• D. $234$ monsters can be divided into $10$ groups

Answer 1

The correct option is B $234$ monsters can be divided into $9$ groups

Total monsters $=234$

Check whether $234$ can be divided into $5$ groups.

Any number ending with the digit $0$ or $5$ is divisible by $5$.

Last digit of the $234$ is $3.234$ is not divisible by $5$. Thus, $234$ monsters can not be divided into $5$ groups

Check whether $234$ can be divided into $9$ groups.

If the sum of the digits of a given number is divisible by $9$, then the number is also divisible by $9$.

The sum of all the digits of $234$ is $2+3+4=9,$ which is divisible by $9$. Thus, $234$ monsters can be divided into $9$ groups

Check whether $234$ can be divided into $10$ groups.

The number whose last digit is zero is divisible by $10$.

Last digit of $234$ is $3.234$ is not divisible by $10$. Thus, $234$ monsters cannot be divided into $10$ groups.

So, $234$ can be divided into $9$ groups only.

Hence, statement B is correct.