Consider the following statements in respect of five candidates P, Q, R, S and T. Two statements are true…
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:
1 only
2 only
Both 1 and 2
Neither 1 nor 2
Solution
The false statement 'At least one of R and S was selected' being false means neither R nor S was selected. The first true statement means exactly one of P, Q is selected; the third true statement is consistent. So R and S are not selected. Conclusion 1 (at least four selected) is false. Conclusion 2 (S selected) is false since S is not selected. Neither conclusion follows.