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:

Let's break down the statements:

1. True Statement: "One of P and Q was selected for the job." This means exactly one person from P and Q is selected. (P XOR Q)

2. False Statement: "At least one of R and S was selected for the job." Since this statement is FALSE, its negation must be TRUE. The negation is: "Neither R nor S was selected for the job." Therefore, R was NOT selected, and S was NOT selected.

3. True Statement: "At most two of R, S and T were selected for the job." From point 2, we know R was NOT selected and S was NOT selected. Substituting this into statement 3: "At most two of (not selected), (not selected) and T were selected." This simplifies to: "At most one of T was selected." (Since T is a single person, either T is selected or not). So, T can be selected or T can be not selected.

Now let's evaluate the conclusions:

Conclusion 1: "At least four were selected for the job."

• From {P, Q}: Exactly 1 person is selected.
• From {R, S}: 0 persons are selected (R and S are not selected).
• From {T}: 0 or 1 person is selected. Total selected candidates = (1 from P/Q) + (0 from R/S) + (0 or 1 from T) = 1 or 2. Since the maximum number of selected candidates is 2, the statement "At least four were selected for the job" is FALSE.

Conclusion 2: "S was selected for the job." From point 2, we definitively concluded that S was NOT selected for the job. Therefore, this conclusion is FALSE.

Since both Conclusion 1 and Conclusion 2 are false, the correct answer is D) Neither 1 nor 2.