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GATE 2015 EC – Question 10

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

Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting on the wall falls if the wall breaks.

Which one of the statements below is logically valid and can be inferred from the above sentences?

  1. Humpty Dumpty always falls while having lunch
  2. Humpty Dumpty does not fall sometimes while having lunch
  3. Humpty Dumpty never falls during dinner
  4. When Humpty Dumpty does not sit on the wall, the wall does not break

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Show answer and explanation

Correct answer: (B) Humpty Dumpty does not fall sometimes while having lunch

Explanation

The wall breaks only sometimes, so on the days it does not break Humpty Dumpty does not fall. That means he does not fall sometimes during lunch. The other statements say too much, such as "always", "never", or something about dinner or about the wall breaking without him.