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GATE 2017 CS (CS2) – Question 7

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

Three boxes contain apples only, oranges only, and both apples and oranges. All three labels are incorrect. You may open just one box and inspect one drawn fruit. Which labelled box lets you determine all three contents?

  1. Apples
  2. Apples and Oranges
  3. Oranges
  4. Cannot be determined

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Show answer and explanation

Correct answer: (B) Apples and Oranges

Explanation

Open the box labelled “Apples and Oranges”. Since its label is wrong, it contains just one fruit type, identified by the draw. If it is apples, the box labelled Oranges must be mixed and the box labelled Apples must be oranges; the symmetric assignment follows for an orange draw. Hence B.

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