Direction: In each of the following questions, one/two statements are given, followed by two/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.
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Statements:
a. Some years are decades.
b. All centuries are decades.
Conclusions:
I. Some centuries are years.
II. Some decades are years.
III. No century is a year.
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- Only conclusion II follows
- Only conclusions I and II follow
- Only conclusions I and III follow
- Only conclusion I follows
- None of these
Correct Option: E
First Premise is Particular Affirmative (I-type).
Second Premise is Universal Affirmative (A-type).
All centuries are decades. ↔ Some decades are years.
A + I ⇒ No Conclusion
Conclusion II is Converse of the first Premise.
Conclusions I and III form Complementary Pair. Therefore, either I or III follows.