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Question :

In the question given below, two statements numbered as I and II are given. You have to decide whether the data provided in the statements are sufficient to answer the question.

A class consists of 32 students. Each student secured different marks as well as different ranks. How many students secured more marks than Y?

Statement I: Four students secured different marks between S and Y. Only seven students secured more marks than U.

Statement II: R secured 17th rank. Only five students secured less marks than S.

1. If the data in both statement I and statement II together are sufficient to answer the question.

2. If the data in statement I alone are sufficient to answer the question while the data in statement II alone are not sufficient to answer the question.

3. If the data in both statement I and statement II together are not sufficient to answer the question.

4. If the data in statement II alone are sufficient to answer the question while the data in statement I alone are not sufficient to answer the question.

5. If the data in either statement I alone or statement II alone are sufficient to answer the question.

Correct Answer : 3
Solution :

It is given that,

A class consists of 32 students. Each student secured different marks as well as different ranks.

From statement I alone:

Only seven students secured more marks than U.

7 persons > U > 24 students

Four students secured different marks between S and Y.

So, no definite arrangement can be established.

So, statement I alone is not sufficient to answer the question.

From statement II alone:

R secured 17th rank. Only five students secured less marks than S.

16 students > R > 9 students > S > 5 students

So, no definite arrangement can be established.

So, statement II alone is not sufficient to answer the question.

From statement I and II together:

16 students > R > 9 students > S > 5 students

7 students > U > 8 students > R > 9 students > S > 5 students

Four students secured different marks between S and Y.

Therefore,

Case 1: 7 students > U > 8 students > R > 9 students > S > 4 students > Y

Case 2: 7 students > U > 8 students > R > 4 students > Y > 4 students > S > 5 students

So, no definite arrangement can be established.

Thus, statement I and II together are not sufficient to answer the question.

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