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GATE 2022 MT – Question 9

General Aptitude · Analytical Aptitude: Logical Reasoning and Deduction · 2 marks · Multiple choice

In a class of five students P, Q, R, S and 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. Statement of P: R has copied in the exam. Statement of Q: S has copied in the exam. Statement of R: P did not copy in the exam. Statement of S: Only one of us is telling the truth. Statement of T: R is telling the truth. The investigating team had authentic information that S never lies. Based on the information given above, the person who has copied in the exam is

  1. R
  2. P
  3. Q
  4. T

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Show answer and explanation

Correct answer: (B) P

Explanation

S is truthful, so exactly one statement is true. R and T have equivalent statements and must both be false.

Hence P did copy. P’s accusation of R and Q’s accusation of S are then false, leaving only S truthful.

Thus **P, B**.