CAT 1999 | Question: 122

Question

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.

• A. Ravana is a hero.
• B. Ravana is a demon.
• C. Ravana is not a demon.
• D. Ravana is not a hero.
  1. CD only
  2. BA only
  3. CD and BA
  4. DB and CA

Answer 1

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.