Question

The given question consists of a set of statements. Find out whether the data provided in the statements are sufficient to answer the question and mark the option:

What is the ratio of male to female officers in the police force in town T?
I. The number of female officers in 250 less than half the number of male officers.
II. The number of female officers is $\frac{1}{7}$ the number of male officers.

• A. If Statement I alone is sufficient but Statement II alone is not sufficient to answer the question
• B. If Statement II alone is sufficient but Statement I alone is not Sufficient to answer the question
• C. If both statements taken together are sufficient to answer the question but neither statement alone is sufficient
• D. If statements I and II together are not sufficient and additional data is needed to answer the question
• E. If the data either in Statement I alone or Statement II alone are sufficient to answer the question

Answer 1

The correct option is B If Statement II alone is sufficient but Statement I alone is not Sufficient to answer the question

From Statement I,
Let number of male officers = x
Then, number of female officers $=\frac{x}{2}-250$
Now, ratio cannot be exactly be exactly calculated.
So, Statement I is insufficient,
From Statement II,
Let number of male officers = y
Then, number of female officers = $\left(\frac{1}{7}\right)y$
$\therefore$Required ratio =$\frac{y}{\frac{1}{7}y}=\frac{7}{1}=7:1$
So, Statement II alone is sufficient to answer the question
But Statement I alone is not sufficient.