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CAT 1999 | Question: 122

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The question has a main statement followed by four statements labelled 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.

Either Ravana is a demon, or he is a hero.

  1. Ravana is a hero.
  2. Ravana is a demon.
  3. Ravana is not a demon.
  4. Ravana is not a hero.
    1. CD only
    2. BA only
    3. CD and BA
    4. DB and CA

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The main statement clearly states that Ravana  is either a demon  or a hero.  He has to be at least
one of the two, and if he is one, he cannot be the other.

$(1) \; \text{CD}$ States that Ravana is neither a demon nor a human.

$(2) \; \text{BA}$ states that Ravana is both demon and hero.

$(3) \; \text{CD}$ States that Ravana is neither a demon nor a human and BA states that Ravana is both demon and hero.Therefore

Both $\text{CD}$ and $\text{BA}$ are logically invalid.

$(4) \; \text{DB}$ states that Ravana is not Hero but is Demon. And $\text{CA}$ states that Ravana is not Demon but is Hero.

Therefore, both $\text{DB}$ and $\text{CA}$ are logically valid.

Hence Option$(4) \; \text{DB}$ and $\text{CA}$ is the Correct choice.
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