Question

In the following question, two statements are given, followed by three conclusions I, II and III. You have to consider the statements to be true even if they seem to be at variance from commonly known facts. You have to decide which of the given conclusions if any, follow from the given statements.

Statements
Some years are decades.
All centuries are decades.

Conclusions
I. Some centuries are years.
II. Some decades are years.
Ill. No century is a year.

• A. Only conclusion II follows
• B. Only conclusions I and II follow
• C. Either conclusions I or III follow
• D. Only conclusion I follows

Answer 1

The correct option is C Either conclusions I or III follow

The first premise is a particular affirmative (I-type).
The second premise is a universal affirmative (A-type).
All centuries are decades.
Some decades are years.
$A+I\Rightarrow$ No conclusion
Conclusion II is the converse of the first premise.
Conclusion II and III form a complementary pair. Therefore, either I or III follows.