Instruction: Below mentioned are statements followed by some conclusions. You have to take the given statements to be true even i…

Reasoning ·Previously asked in JKSSB Sub Inspector (Executive) 2022

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Question

Instruction: Below mentioned are statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance from the commonly known facts.

Statements:

All lions are cats.

All cats are hunters.

Conclusions:

I) All hunters are lions

II) Some hunters are lions

III) All lions are hunters

  1. A. Only II follows
  2. B. Only III follows
  3. C. Both I and III follow
  4. D. Both II and III follow (Correct answer)

Correct Answer

Option D — Both II and III follow

Detailed Solution & Explanation

The correct answer is Both II and III follow.

Key Points

  • Given: All lions are cats. All cats are hunters.
  • Conclusion I: All hunters are lions -- INVALID.
  • Not all hunters are necessarily lions (there could be non-lion hunters).
  • Conclusion II: Some hunters are lions -- VALID.
  • Since all lions are hunters, lions form a subset of hunters, so some hunters are indeed lions.
  • Conclusion III: All lions are hunters -- VALID.
  • All lions are cats (premise 1), and all cats are hunters (premise 2); by transitivity, all lions are hunters.
  • Therefore, both conclusions II and III follow.