Let P, Q, R, S and T be five statements such that: I. If P is true, then both Q and S are true. II. If R and S are true, then T is false. Which of the following can be concluded? 1. If T is true, then at least one of P and R must be false. 2. If Q is true, then P is true. Select the correct answer using the code given below:

QUESTION

CSAT

Easy

Reasoning

Prelims 2023

Let P, Q, R, S and T be five statements such that:

I. If P is true, then both Q and S are true. II. If R and S are true, then T is false.

Which of the following can be concluded?

Select the correct answer using the code given below:

Select an option to attempt

Explanation

I. If P is true, then both Q and S are true. However, if P is false, we cannot say anything about Q and S.

II. If R and S are true, then T is false. However, if only one of R and S is true, or both of them are false, then we cannot say anything about T.

Now, let's analyze the given conclusions.

Conclusion 1: If T is true, then at least one of P and R must be false.

If T is true, then it means that at least one of R and S must be false.

Now, if S is false then it means that P must also be false.

So, Conclusion 1 is correct.

Conclusion 2: If Q is true, then P is true.

If Q is true, then it doesn't necessarily mean that P must be true.

So, Conclusion 2 is not correct.

Hence, option (A) is correct.

Trusted by 2L aspirants

An AI-powered ecosystem to learn, practice, and evaluate with discipline

Download App