Question

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements. Statements: A. No caps are hats. B. Some hats are helmets. Conclusions: I. All helmets are caps. Il. Some helmets are hats.

• A. Only conclusion I follows
• B. Only conclusion II follows
• C. Both the conclusions follow
• D. None of the conclusions follow

Answer 1

Answer:

B. Only conclusion II follows

Let’s analyze logically:

Statements:

1. No caps are hats → Caps and hats do not overlap

2. Some hats are helmets → There is overlap between hats and helmets

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Conclusions:

I. All helmets are caps
This contradicts statement 1 (since helmets overlap with hats, and caps cannot be hats)

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II. Some helmets are hats
Directly follows from statement 2 (“Some hats are helmets” ⇒ same meaning)

Final Answer:

Only Conclusion II follows