CAT 2007 — QA Question 27
Answer the next 2 questions based on the information given below.
Let a1 = p and b1 = q, where p and q are positive quantities.
Define:
an = pbn−1 bn = qbn−1, for even n > 1 and
an = pan − 1 bn = qan − 1, for odd n > 1.
Each question is followed by two statements, I and II. Answer each question using the following instructions:
Mark (1) if the question can be answered by using statement I alone but not by using statement II alone.
Mark (2) if the question can be answered by using statement II alone but not by using statement I alone.
Mark (3) if the question can be answered by using either of the statements alone.
Mark (4) if the question can be answered by using both the statements together but not by either of the statements alone.
Mark (5) if the question cannot be answered by using any of the statements.
In a particular school, sixty students were athletes. Ten among them were also among the top academic performers. How many top academic performers were in the school?
I. Sixty per cent of the top academic performers were not athletes.
II. All the top academic performers were not necessarily athletes.
Answer & solution
1
- B
2
- C
3
- D
4
- E
5
From Statement I, 40% of the top academic performers were athletes.
∴ If there are x top academic performers, 10 = 0.4x
∴ x = 25
Statement I is sufficient.
Statement II does not give any useful information.
Hence, option (a).