Question

Statement:
The average age of girls in a class is 17 and the average age of boys in that class is 18.
Conclusions:
I. Every girl is younger than all the boys in the class.
II. Every boy is older than all the girls in the class.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Both conclusions I and II follow
• D. Neither conclusion I nor conclusion II follows

Hint:

Average values cannot be used to compare individual members.

Answer 1

The Correct Option is D

To solve this logical reasoning question, let's analyze each conclusion based on the information provided:

Given Information:

• The average age of girls in the class is 17.
• The average age of boys in the class is 18.

The conclusions need to be evaluated in the context of averages:

1. Conclusion I: Every girl is younger than all the boys in the class.
2. Conclusion II: Every boy is older than all the girls in the class.

Reasoning:

The average age only gives us the average value and does not provide information about individual ages. That means:

1. Some girls could be older than some boys or vice versa.
2. It's possible for individual girls to be of the same age or older than some boys despite the averages.
3. Similarly, it's possible for individual boys to be the same age or younger than some girls despite the averages.

Analyzing the Conclusions:

• Conclusion I: The conclusion assumes that every girl is younger than all boys based only on the average. Since the average does not give individual age distributions, this conclusion cannot logically be drawn.
• Conclusion II: The same logic applies here. Assuming every boy is older than all girls based on the average is incorrect. Individual age overlap could exist.

Conclusion:

Neither conclusion I nor conclusion II can be definitively made based solely on average ages, as averages do not account for individual variations within each group.

Correct Answer: Neither conclusion I nor conclusion II follows.