GATE CE 2019 Set 2 — Question 6

MCQ+2 / -0.67MediumDeduction & InductionAnalytical AptitudeGeneral Aptitude

General Aptitude → Analytical Aptitude → Deduction & Induction

Last updated 5 September 2026

Question

Mohan, the manager, wants his four workers to work in pairs. No pair should work for more than 5 hours. Ram and John have worked together for 5 hours. Krishna and Amir have worked as a team for 2 hours. Krishna does not want to work with Ram. Whom should Mohan allot to work with John, if he wants all the workers to continue working?

Correct answer (B) Krishna Solution 1. Identify the workers: Ram, John, Krishna, and Amir. 2. Analyze existing constraints: Pair (Ram, John) has already worked 5 hours. Since no pair can work for more than 5 hours, they cannot work together anymore. Krishna refuses to work with Ram. 3. Determine possible pairings for John: John cannot work with Ram (limit reached). John must work with either Krishna or Amir. 4. Evaluate the consequences of each pairing: Case 1: John works with Amir. If John is paired with Amir, the remaining worker, Ram, must be paired with Krishna. However, Krishna does not want to work with Ram. This configuration fails. Case 2: John works with Krishna. If John is paired with Krishna, the remaining worker, Ram, must be paired with Amir. There is no constraint preventing Ram and Amir from working together. This configuration allows all workers to continue working. Therefore, Mohan should allot Krishna to work with John. The correct option is (B). Turn this into a strength. Explore AI-powered practice and doubt support with Success Tracker.

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Correct answer (B) Krishna Solution 1. Identify the workers: Ram, John, Krishna, and Amir. 2. Analyze existing constraints: Pair (Ram, John) has already worked 5 hours. Since no pair can work for more than 5 hours, they cannot work together anymore. Krishna refuses to work with Ram. 3. Determine possible pairings for John: John cannot work with Ram (limit reached). John must work with either Krishna or Amir. 4. Evaluate the consequences of each pairing: Case 1: John works with Amir. If John is paired with Amir, the remaining worker, Ram, must be paired with Krishna. However, Krishna does not want to work with Ram. This configuration fails. Case 2: John works with Krishna. If John is paired with Krishna, the remaining worker, Ram, must be paired with Amir. There is no constraint preventing Ram and Amir from working together. This configuration allows all workers to continue working. Therefore, Mohan should allot Krishna to work with John. The correct option is (B).

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