Xavier Aptitude Test 2023 Paper

Question : 66 of 102

Marks: +1, -0

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?

6 meters
$(2 {√{ }} 2+2)$ meters
$2 {√{ }} 3$ meters
$2 {√{ }} 6$ meters
$2 {√{ }} 5$ meters

Validate

Solution:

The shortest route ant takes to travel from the bottom corner to the diagonally opposite top corner is shown
below.
The route goes through lateral faces (vertical faces) of the cubical room.

The length of route,

r={√{(2+2)^2+2^2}}={√{20}}=2 {√{5}}

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