AMCAT Logical Reasoning: Deductive Logic 2

Question 1

All roses are flowers. Some flowers are red. Which conclusion definitely follows?

Accepted Answer

Some flowers are roses

Answer

From 'All roses are flowers', it follows by conversion that 'Some flowers are roses'.

Question 2

No cats are dogs. All dogs are animals. Which is a valid conclusion?

Accepted Answer

Some animals are not cats

Answer

All dogs are animals and no dog is a cat. So those dogs (which are animals) are not cats — some animals are not cats.

Question 3

Statement: All pens are books. No book is a pencil. Conclusion I: No pen is a pencil. Conclusion II: Some books are pens.

Accepted Answer

Both I and II follow

Answer

All pens are books and no book is a pencil → no pen is a pencil (I). All pens are books → some books are pens by conversion (II). Both follow.

Question 4

If no M is P, and all S is M, what can be concluded?

Accepted Answer

No S is P

Answer

All S is M and no M is P. Since every S is an M, and no M is P, no S can be P.

Question 5

Statements: Some teachers are writers. All writers are poets. Conclusion: Some teachers are poets.

Accepted Answer

True

Answer

Some teachers are writers. All writers are poets. Those teacher-writers are also poets → some teachers are poets. True.

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