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Question

In each of the questions below some statements are given followed by some Conclusions. You have to take the given statements to be true even, if they seem to be at variance from commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statements: 

All chapters are pages

All pages are topics

No page is a heading

Conclusion:

I. Some topics are not heading.

II. No chapter is a heading

III. All topics are chapters

A Both II and III is true Correct Answer Incorrect Answer
B Only III is true Correct Answer Incorrect Answer
C Both I and II is true Correct Answer Incorrect Answer
D Both I and III is true Correct Answer Incorrect Answer
E Only I is true Correct Answer Incorrect Answer

Solution

All pages are topics (A) → Conversion → Some topics are pages (I) + No page is heading (E) → Some topics are not heading (O). Hence conclusion I follows. All chapters are pages (A) + No page is a heading (E) → No chapter is a heading (E). Hence conclusion II follows. All chapters are pages (A) + All pages are topics (A) → All chapters are topics (A) → Conversion → Some topics are chapters (I). Hence conclusion III does not follow.

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