Ordered pair logical consistency

CMAT 2018 · Logical Reasoning · Medium · Logical Reasoning

Main statement: All cubes are round in shape. (A) Figure A is not round in shape. (B) Figure A is a cube. (C) Figure A is not a cube. (D) Figure A is round in shape.

Choose the ordered pair of statements, where the first statement implies the second and the two statements are logically consistent with the main statement.

  1. A.

    CA

  2. B.

    DB

  3. C.

    AC

  4. D.

    AB

Answer

C

Explanation

Main statement: Cube   ⟹  \implies Round. Contrapositive: Not Round   ⟹  \implies Not Cube (Statement A implies Statement C). Also: Cube   ⟹  \implies Round (Statement B implies Statement D). Among options, AC represents (A implies C), which is logically consistent.

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