Question

The average weight of students in a class is 50 kg. What is the number of students in the class?
Statement A
A. The heaviest and the lightest members of the class weigh 60 kg and 40 kg respectively.
Statement B
B. Exclusion of the heaviest and the lightest members from the class does not change the average weight of the students.

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

Hint:

When calculating the number of students, use the average weight formula along with the provided data on exclusions to solve for the total number of students.

Answer 1

The Correct Option is C

From Statement A: The weights of the heaviest and lightest members provide some information, but alone, we cannot determine the exact number of students.
From Statement B: If removing the heaviest and lightest does not change the average, it implies the total weight remains unchanged, which can be used to calculate the number of students.
Combining both statements, we can solve for the number of students. Therefore, the Correct Answer is (3).