Question Details

Directions: In the question below, some statements are given followed by two conclusions. Take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements.

Statements:

Only a few dogs are cats.

Some dogs are birds.

Some birds are not fish.

Conclusions:

I. Some cats are not birds

II. All cats are birds

Options

A

Neither conclusion I nor II follows

B

Only conclusion II follows

C

Both conclusions I and II follow

D

Only conclusion I follows

E

Either conclusion I or II follows

Show Answer

Correct Answer :

Option E

Either conclusion I or II follows

Solution :

The correct option is Either conclusion I or II follows.

Step-by-step Explanation:

Given Statements:
1. Only a few dogs are cats (This implies: Some dogs are cats and Some dogs are not cats).
2. Some dogs are birds.
3. Some birds are not fish.

Analyzing the Conclusions individually:
Conclusion I: Some cats are not birds.
From the given statements, no direct relationship is established between 'cats' and 'birds'. Therefore, Conclusion I is uncertain and does not follow individually as a definite conclusion.

Conclusion II: All cats are birds.
Similarly, since there is no definite relation between 'cats' and 'birds', Conclusion II is also uncertain and does not follow individually as a definite conclusion.

Checking for "Either - Or" Complementary Pair Rules:
An 'Either - Or' case is applicable when all the following conditions are met:
1. Both conclusions do not follow individually (both are logically doubtful).
2. Both conclusions contain the same subject and predicate (here, 'cats' and 'birds').
3. The two conclusions form a complementary pair. The pair "All" + "Some not" forms a valid complementary pair.

Since Conclusion I is of the form "Some cats are not birds" (Particular Negative) and Conclusion II is of the form "All cats are birds" (Universal Affirmative), one of them must necessarily be true. If all cats are birds, then Conclusion II holds. If not all cats are birds, then at least some cats are not birds, so Conclusion I holds.

Therefore, Either conclusion I or II follows.

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  • SSC
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  • english, general awareness, general intelligence and reasoning, logical reasoning, quant

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