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XAT 2023 Question Paper | Quantitative Aptitude and Data Interpretation

XAT Previous Year Paper | XAT QADI Questions | Question 16

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Question 16 : A non-flying ant wants to travel from the bottom corner to the diagonally opposite top corner of a cubical room. The side of the room is 2 meters. What will be the minimum distance that the ant needs to travel?

  1. 6 meters
  2. \((2 \sqrt{2}+2)\) meters
  3. \(2 \sqrt{3}\) meters
  4. \(2 \sqrt{6}\) meters
  5. \(2 \sqrt{5}\) meters

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Explanatory Answer

Ant Crawling
When the floor and the wall of the room are “un-folded”. It looks similar to the image above…
The length of the diagonal is the shortest distance to be travelled by the ant.
Shortest path = \( \sqrt { 2 ^ { 2 } + 4 ^ { 2 } } = 2 \sqrt { 5 } \) meters.


The answer is '\(2 \sqrt{5}\) meters'

Choice E is the correct answer.

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