CAT 1999 | Question: 156

Question

The question is followed by two statements I and II.

Mark

• A. if the question can be answered by any one of the statements alone, but cannot be answered by using the other statement alone.
• B. if the question can be answered by using either statement alone.
• C. if the question can be answered by using both the statements together, but cannot be answered by using either statement alone.
• D. if the question cannot be answered even by using both the statements together.

The average weight of students in a class is $50 \; \text{kg}.$ What is the number of students in the class?

1. The heaviest and the lightest members of the class weigh $60 \; \text{kg}$ and $40 \; \text{kg}$ respectively.
2. Exclusion of the heaviest and the lightest members from the class does not change the average weight of the students.

Answer 1

Heaviest member of the class weight $= 60 \; \text{kg}$

lightest member of the class weight $= 40 \; \text{kg}$

Avg weight $= 50 \; \text{kg}$

But Avg weight can be formed from only that two students too

So, we cannot conclude number of students in the class

Hence answer (D)