An Ant Crawls from One Corner of a Room to the Diagonally GMAT Problem Solving

Question: An ant crawls from one corner of a room to the diagonally opposite corner along the shortest possible path. If the dimensions of the room are 3 x 3 x 3, what distance does the ant cover?

1. 3√2 +3
2. 6√2
3. 3∗3 ^(⅓)
4. 3√5
5. 9

Correct Answer: A
Solution and Explanation:
Approach Solution 1:

To answer this GMAT question, apply the data that was provided in the question. These issues pertain to many different branches of mathematics. This query relates to units and dimensions. It is challenging to choose the best option due to the way the options are presented. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.

It is asked in the question that the shortest path is taken by an ant to move from one corner of a space to the diagonally opposite corner. What distance does the ant cover if the room is 3 x 3 x 3 in size?

The idea behind this topic is to view two adjacent surfaces as one plane by opening up the surfaces. (See the illustration below)
As a result, the hypotenuse—or the shortest distance between two points—would be determined using the traditional Pythagorean idea as follows:

\(\sqrt{(3+3)^2 + 3 ^2} = 3\sqrt5\)

D is the correct answer.

Approach Solution 2:

To answer this GMAT question, apply the data that was provided in the question. These issues pertain to many different branches of mathematics. This query relates to units and dimensions. It is challenging to choose the best option due to the way the options are presented. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.

It is asked in the question that the shortest path is taken by an ant to move from one corner of a space to the diagonally opposite corner. What distance does the ant cover if the room is 3 x 3 x 3 in size?

Choose any two neighbouring sides that are perpendicular to one another and have 3x3 sides each. The two sides are ABCD and BDEF.
Open it now…
A.....B......E
C.....D......F
To get to E, the ant must go from C.
You can see a rectangle with the two sides opened up, ACFE.
The shortest path will be diagonal CE.

CE=√(3^2+6^2)=√45=3√5
D is the correct answer.

Approach Solution 3:

To answer this GMAT question, apply the data that was provided in the question. These issues pertain to many different branches of mathematics. This query relates to units and dimensions. It is challenging to choose the best option due to the way the options are presented. Applicants must be able to understand the proper strategy for getting the desired response. There is only one correct answer out of the five options offered.

It is asked in the question that the shortest path is taken by an ant to move from one corner of a space to the diagonally opposite corner. What distance does the ant cover if the room is 3 x 3 x 3 in size?

Shortest distance will be AB + BC

\( = \sqrt{a^2+a^2/4}  + \sqrt{a^2 + a^2/4}\)
\( = \sqrt{5}a\)

Here in this question a = 3

D is the correct answer.

“An ant crawls from one corner of a room to the diagonally" - is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been borrowed from the book “GMAT Official Guide Quantitative Review”.

To understand GMAT Problem Solving questions, applicants must possess fundamental qualitative skills. Quant tests a candidate's aptitude in reasoning and mathematics. The GMAT Quantitative test's problem-solving phase consists of a question and a list of possible responses. By using mathematics to answer the question, the candidate must select the appropriate response. The problem-solving section of the GMAT Quant topic is made up of very complicated math problems that must be solved by using the right math facts.

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