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GATE 2017 EE (EE2) – Question 7

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

Three boxes contain apples only, oranges only, and both fruits. Every box is incorrectly labelled. You may open one box and inspect one 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.” Because its label is wrong, it contains just one fruit type, so a single draw identifies the whole box.

If the draw is an apple, that box is apples-only. The box labelled Oranges cannot be oranges or the already identified apples box, so it is mixed; the remaining box is oranges. An orange draw gives the analogous reverse assignment.

Thus the informative choice is **B**.

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