Two statements and two conclusions are given below. You have to decide which…
2022
Two statements and two conclusions are given below. You have to decide which of the given conclusions logically follow from the given statements, disregarding commonly known facts. Statements: Some horses are cats. All cats are hens. Conclusions: (I) Some hens are horses. (II) Some horses are hens.
- A.
Only conclusion I follows
- B.
Only conclusion II follows
- C.
Both conclusion I and II follow
- D.
Neither conclusion I nor II follow
Attempted by 99 students.
Show answer & explanation
Correct answer: C
Reasoning: Use the given statements step by step.
From "Some horses are cats" there exists at least one animal that is both a horse and a cat.
From "All cats are hens" every cat is a hen, so that same animal (which is a cat) must also be a hen.
Therefore there exists at least one animal that is both a horse and a hen; in other words, "Some horses are hens" follows.
An existential statement like "Some horses are hens" is equivalent to "Some hens are horses", so "Some hens are horses" also follows.
Conclusion: Both given conclusions follow from the statements.