QUESTION

CSAT

Easy

Reasoning

Prelims 2023

Consider the following statements in respect of five candidates P, Q, R, S, and T. Two statements are true and one statement is false.

True Statement: One of P and Q was selected for the job. False Statement: At least one of R and S was selected for the job. True Statement: At most two of R, S and T were selected for the job.

Which of the following conclusions can be drawn?

  1. At least four were selected for the job.
  2. S was selected for the job.

Select the correct answer using the code given below:

Select an option to attempt

Explanation

The five candidates are P, Q, R, S, and T. The given statements are:

True statement: One of P and Q was selected for the job. So, either P was selected or Q was selected. False statement: At least one of R and S was selected for the job. As this statement is false, we can deduce that neither R nor S was selected for the job. True statement: At most two of R, S and T were selected for the job. But we already know that neither R nor S was selected for the job. So, we are only left with T. It may or may not be selected.

The selected candidates maybe: P, PT, Q, QT

So, the number of candidates that can be selected is either 1 or 2.

So, none of the given conclusions is correct.

Hence, option (D) is correct.

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