Logical Deductions Pair

CMAT 2018 · Logical Reasoning · Medium · Logical Reasoning

Below given question has a main statement followed by four statements labeled A, B, C and D. Choose the ordered pair of statements, where the first statement implies the second and the two statements are logically consistent with the main statement.

You cannot catch the bus unless it is morning. (A) This is morning. (B) You can catch the bus. (C) This is not morning. (D) You cannot catch the bus.

  1. A.

    BD

  2. B.

    AC

  3. C.

    CB

  4. D.

    CD

Answer

D

Explanation

The main statement is: "If you catch the bus   ⟹  \implies it is morning", which is logically equivalent to its contrapositive: "If it is not morning   ⟹  \implies you cannot catch the bus".

Statement (C) is "This is not morning" and Statement (D) is "You cannot catch the bus". Therefore, CD represents the valid contrapositive implication.

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