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GATE 2019 ME (ME1) – Question 6

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

Under a legal system, prisoners may make one statement. If true, they are hanged; if false, they are shot. One prisoner’s statement left the judge no option but to release him. What could it be?

  1. I did not commit the crime.
  2. I committed the crime.
  3. I will be shot.
  4. You committed the crime.

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Show answer and explanation

Correct answer: (C) I will be shot.

Explanation

Choose I will be shot. If the judge shoots him, the statement becomes true and the rule requires hanging instead. If he is hanged, the statement is false and requires shooting instead. Neither punishment consistently satisfies the rule, giving **C**.