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CAT 1998 — DILR Question 45

3 StatementsEasy
Passage / Data

Direction: Answer the question based on the following information.

The following operations are defined for real numbers.
a # b = a + b, if a and b both are positive else a # b = 1
a ∇ b = (a × b)a + b if a × b is positive else a ∇ b = 1.

P, Q, R and S are four statements. Relation between these statements is as follows.

I. If P is true, then Q must be true.
II. If Q is true, then R must be true.
III. If S is true, then either Q is false or R is false.

Which of the following must be true?

Answer & solution

  • If P is true, then S is false

  • B

    If S is false, then Q must be true

  • C

    If Q is true, then P must be true

  • D

    If R is true, then Q must be true

Solution

If P is true, then both Q and R have to be true. For S to be true, either Q or R must be false. Hence, if P is true, S cannot be true.

CAT 1998 DILR Q45: P, Q, R and S are four statements. Relation between these statements is as follows. I. If P is true, then Q mu — Solution | TheCATExam