Direction: Below question consists a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question Read both the statement and Give answer.

What is the ratio of the number of fresher to that of seniors in a college?

I. The ratio of males and females in the college is 2:3

II. There are 1125 female freshers in the college

A The data in Statement I alone is sufficient to answer the question, while the data in Statement II alone is not sufficient to answer the question.

B The data in statement II alone is sufficient to answer the question, while the data in Statement I alone is not sufficient to answer the question.

C The data either in Statement I alone or in Statement II alone are sufficient to answer the question.

D The data in both the statements I and II are not sufficient to answer the question

E The data in both the statement I and II together are necessary to answer the question.

Solution

Correct Answer: Option D

We have to calculate the ratio of the number of fresher to that of seniors in the college.

Using statement 1:

This statement doesn’t provide any information regarding the number of fresher or the seniors in the college.

So, the data in Statements I alone is not sufficient to answer the question.

Using statement 2:

This statement provides information regarding the number of female freshers.

This statement alone leads to nowhere.

We need further information regarding the number of male fresher & seniors to evaluate the answer to the question.

So, the data in Statement II alone is not sufficient to answer the question.

Combining statement 1 & statement 2:

Statement 1 (The ratio of males and females in the college is 2:3) refers to the ratio of males and females in the whole college. It is not providing specific information regarding fresher or seniors.

So, no further information can be deduced even after combining both statements.

∴ The data in both the statements I and II are not sufficient to answer the question

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