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Question

# Statements: P $Q, Q δ S, S * R Conclusions: I. S * P II. S$ P

A

Only conclusion I is true.

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B

Only conclusion II is true.

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C

Either conclusion I or conclusion II is true.

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D

Neither conclusion I nor conclusion II is true.

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E

Both conclusion I and conclusion II are true.

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Solution

## The correct option is C Either conclusion I or conclusion II is true. From the given statements P $Q means ‘P is neither smaller nor greater than Q’. So P = Q. (a) Q δ S means ‘Q is not smaller than S’. So Q ≥ S. (b) S*R means ‘S is smaller than R’. So S < R. (c) Combining all the equations you get P = Q ≥ S < R. (d) Now, for the given conclusions S*P means ‘S is smaller than P’. So S < P. (i) S$ P means ‘S is neither smaller nor greater than P’. So S = P. (ii) So, either of the conclusions S < P or S = P will follow.

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