Instructions

Directions for the following four questions:

Each question is followed by two statements, A and B. Answer each question using the following instructions:

Question 30

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?

A. Sixty per cent of the top academic performers were not athletes.

B. All the top academic performers were not necessarily athletes.

Solution

No. of athletes which are top academic performers: 10
According to statement a) Sixty per cent of the top academic performers were not athletes  so 40% of top academic performers are athletes which we know is 10. So total no. of top academic performers are 25. 
Hence statement a is alone to answer the question.
while we cant deduce anything from statement b .


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