Question

If the ratio of men to women in an office is $7$ to $5$, which of the following could not be the number of employees in the office?

• A. $24$
• B. $30$
• C. $36$
• D. $48$

Answer 1

The correct option is B $30$

The ratio $7$ to $5$ states that for every $7$ men in the office there must be $5$ women.

If there are $7$ men, there will be $5$ women.

If there are $14$ men there will be $10$ women, $21$ men means $15$ women and so on.
If we observe here, we will notice that the total number of employees in the office would be $12,24,36$ and so on.
i.e. these numbers of employees should be a multiple of $12$ to make the given information true.

Now here all the choices except $30$ are multiples of $12$. Thus, $30$ is not the possible number of employees.