QUESTION

CSAT

Medium

Reasoning

Prelims 2024

Main Statement is followed by four Statements labelled P, Q, R and S. Choose the ordered pair of the Statements where the first Statement implies the second, and the two Statements are logically consistent with the Main Statement. Main Statement : Pradeep becomes either a Director or a Producer.

Statement P : Pradeep is a Director. Statement Q : Pradeep is a Producer. Statement R : Pradeep is not a Director. Statement S : Pradeep is not a Producer.

Select the correct answer.

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Explanation

The main statement says: "Pradeep becomes either a Director or a Producer." This means that Pradeep cannot be both a Director and a Producer simultaneously, nor can he be neither. He must be one of the two.

  1. If Statement S (Pradeep is not a Producer) is true, it implies Statement P (Pradeep is a Director), because Pradeep must be either a Director or a Producer, and if he is not a Producer, he must be a Director.

    • Thus, SP is logically consistent with the main statement.
  2. If Statement R (Pradeep is not a Director) is true, it implies Statement Q (Pradeep is a Producer), because if he is not a Director, he must be a Producer.

    • Thus, RQ is logically consistent with the main statement.

Conclusion: Both SP and RQ are logically consistent with the main statement and satisfy the condition that the first statement implies the second.

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