199 views

In a class of five students $\text{P, Q, R, S}$ and $\text{T},$ only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

$\text{Statement of P: R}$ has copied in the exam.

$\text{Statement of Q: S}$ has copied in the exam.

$\text{Statement of R: P}$ did not copy in the exam.

$\text{Statement of S:}$ Only one of us is telling the truth.

$\text{Statement of T: R}$ is telling the truth.

The investigating team had authentic information that $\text{S}$ never lies.

Based on the information given above, the person who has copied in the exam is

1. $\text{R}$
2. $\text{P}$
3. $\text{Q}$
4. $\text{T}$

Given the statements:

• $\text{Statement of P: R}$ has copied in the exam.
• $\text{Statement of Q: S}$ has copied in the exam.
• $\text{Statement of R: P}$ did not copy in the exam.
• $\text{Statement of S: }$ Only one of us is telling the truth.
• $\text{Statement of T: R}$ is telling the truth.

Based on the above statements, we can make the pictorial representation.

$\qquad \begin{array}{ccccc} \underbrace{\text{P}}_{\text{R}\;\Large{\checkmark}} & \underbrace{\text{Q}}_{\text{S}\;\Large{\checkmark}} & \underbrace{\text{R}}_{\text{P}\Large{\times}} & \underbrace{\text{S}}_{\text{Only one is true}} & \underbrace{\text{T}}_{\text{R is true}} \\\hline \underbrace{\underbrace{\text{P}}_{\text{R}\;\Large{\checkmark}}}_{{\color{Red}{\text{False}}}} & \underbrace{\underbrace{\text{Q}}_{\text{S}\;\Large{\checkmark}}}_{{\color{Red}{\text{False}}}} & \underbrace{\underbrace{\text{R}}_{\text{P}\Large{\times}}}_{{\color{Red}{\text{False}}}} &\underbrace{\underbrace{\text{S}}_{\text{Only one is true}}}_{{\color{Green}{\text{Always True}}}} & \underbrace{\underbrace{\text{T}}_{\text{R is true}}}_{{\color{Lime}{\text{True}}}} \\\hline \underbrace{\text{P}}_{\text{R}\;\Large{\times}} & \underbrace{\text{Q}}_{\text{S}\;\Large{\times}} & \underbrace{\text{R}}_{\text{P}\;\Large{\checkmark}} & & \end{array}$

$\therefore$ The person who has copied in the exam is ${\color{Blue}{\text{P}.}}$

Correct Answer $:\text{B}$

5.0k points