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Which of the following statements is contrapositive of "All whales are mammals"?

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UGC NET Paper 1: Held on 21st June 2023 Shift 2
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  1. Some whales are mammals.
  2. All non-mammals are non-whales.
  3. Some mammals are whales.
  4. All mammals are whales.

Answer (Detailed Solution Below)

Option 2 : All non-mammals are non-whales.
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Detailed Solution

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The correct option is: All non-mammals are non-whales.

Important Points

In logic, the contrapositive of a statement is formed by negating both the subject and the predicate of the original statement and then reversing the order.

  • The original statement is "All whales are mammals." To find its contrapositive, we first negate both the subject ("whales") and the predicate ("mammals"): 

1. Negation of "All whales are mammals" -> "All non-whales are non-mammals."

2. Reverse the order: "All non-mammals are non-whales."

Therefore, Option 2) "All non-mammals are non-whales" is the contrapositive of the original statement "All whales are mammals."

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