GATE EC 2022 Set 1 — Question 9
Go beyond PYQs with Success TrackerAI-powered personalised practice and doubt support. Unlimited practice on eligible plans; AI usage limits apply.MCQ+2 / -0.67MediumDeduction & InductionAnalytical AptitudeGeneral Aptitude
General Aptitude → Analytical Aptitude → Deduction & Induction
Last updated
Question
In a class of five students and , 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: has copied in the exam.
Statement of Q: has copied in the exam.
Statement of R: did not copy in the exam.
Statement of S: Only one of us is telling the truth.
Statement of T: is telling the truth.The investigating team had authentic information that never lies.Based on the information given above, the person who has copied in the exam is
Statement of Q: has copied in the exam.
Statement of R: did not copy in the exam.
Statement of S: Only one of us is telling the truth.
Statement of T: is telling the truth.The investigating team had authentic information that never lies.Based on the information given above, the person who has copied in the exam is
Correct answer
(B) P
Solution
1.We are given that never lies, so 's statement is true.
2.'s statement is: "Only one of us is telling the truth."
3.Since is telling the truth, and is one of the five students, must be the only person telling the truth. This means and are all lying.
4.Analyze the lying statements to find the truth:
- Statement of R: " did not copy in the exam." Since is lying, the truth is that did copy in the exam.
- Statement of P: " has copied in the exam." Since is lying, did not copy.
- Statement of Q: " has copied in the exam." Since is lying, did not copy.
- Statement of T: " is telling the truth." Since is lying, is actually lying (which is consistent with our finding).
Continue learning with Success Tracker
A step still unclear? Work through it with support
Use Success Tracker to ask about the reasoning, then try another GATE EC question to check your understanding.
AI-powered practice· Unlimited practice on eligible plans
- PYQs with solutions
- Attempt available previous-year questions, then compare your reasoning with the worked solution. Coverage varies by stream.
- Practice that adapts
- Choose a topic, work on weaker areas and bookmark questions to revisit. Your attempts feed your progress tracking.
- AI doubt support
- Ask follow-up questions about a step or concept while practising, instead of stopping at the final answer.
Unlimited practice is available on eligible plans. Free practice and AI usage have limits; check the current plan allowances before choosing.
This page stays readable without an account. AI responses can be wrong; check them against the solution and source material.
More questions on Analytical Aptitude
2026 Set 1 Q1Among the following options, the antonym of the word ‘nocturnal’ is _________.2026 Set 1 Q2The statements (S1), (S2), and (S3) pertain to the scores obtained by students in an exam. The…2026 Set 1 Q3The figure below has exactly three intersecting line segments with a rectangular portion …2026 Set 1 Q4Real numbers , , and (all greater than 1) satisfy…2026 Set 1 Q5The following observation is made about the scores obtained by 100 students in an exam: 'For each…