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Question

Read the given statement s 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 from the statements.

Statements:

No kite is a roof.

All papers are roofs.

All thread are papers.

Conclusions:

I. No roof is a thread.

II. No thread is a kite.

III. No paper is a kite.

IV. Some kites are papers.

A Only conclusions II and III follow Correct Answer Incorrect Answer
B Only conclusions I, II and IV follow Correct Answer Incorrect Answer
C Only conclusions II, III and IV follow Correct Answer Incorrect Answer
D Only conclusions I, II and III follow Correct Answer Incorrect Answer

Solution

All thread are papers (A) + All papers are roofs (A) → All thread are roofs (A) → Conversion → Some roofs are thread (I). Hence conclusion I does not follow. All thread are roofs (A) + No kite is a roof (E) → Conversion → No roof is a kite (E) → No thread is a kite (E). Hence conclusion II follows. All papers are roofs (A) + No kite is a roof (E) → Conversion → No roof is a kite (E) → No papers is a kite (E). Hence conclusion III follows but conclusion IV does not follow.

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