Read the given statements and conclusions carefully. Assuming that the…
2024
Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.
Statements:
Some insects are animals.
Some animals are frogs.
All frogs are cats.
Conclusions:
I. Some cats are frogs.
II. Some frogs are animals.
III. Some animals are insects.
- A.
All conclusions follow
- B.
Only conclusions I and III follow
- C.
Only conclusions I and II follow
- D.
Only conclusions II and III follow
Attempted by 1551 students.
Show answer & explanation
Correct answer: A
Correct answer: All conclusions follow.
Reasoning:
Conclusion I (Some cats are frogs): Because 'Some animals are frogs' ensures that frogs exist, and 'All frogs are cats' means every frog is a cat, those existing frogs are cats; therefore some cats are frogs.
Conclusion II (Some frogs are animals): This follows directly from the statement 'Some animals are frogs' which asserts the existence of frogs that are animals, equivalently 'Some frogs are animals.'
Conclusion III (Some animals are insects): The statement 'Some insects are animals' asserts the existence of individuals that are both insects and animals; that is logically equivalent to saying some animals are insects, so the conclusion holds.
