How to use Tree Structures to solve GMAT arithmetic problems

A 8 minute read

The objective of this article The primary objective of this article is to explain the use of Visualizing the information given in a question and representing it in the form of a Tree Diagram. This article is helpful for those who have a basic understanding of Percent, Sets, and Elements. After going through the article,

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P is a particle on the circle shown above. What is the length of the path travelled by P in one complete revolution around the circle? – OGQR 2020 Question #212 with Solution

A 1 minute read

Solution Steps 1 & 2: Understand Question and Draw Inferences We are given: P is a particle on the circle, as shown in the given diagram. We need to find the length of the path travelled by P in one complete revolution around the circle. In one complete revolution, P will cover the entire length

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If Car A took n hours to travel 2 miles and Car B took m hours to travel 3 miles, which of the following expresses the time it would take Car C, traveling at the average (arithmetic mean) of those rates, to travel 5 miles? – OGQR 2020 Question #79 with Solution

A 1 minute read

Solution Given In this question, we are given Car A took n hours to travel 2 miles. Car B took m hours to travel 3 miles. Car C travels at the average (arithmetic mean) of the travel rates of A and B. To Find We need to determine The time car C would have taken

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A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. If exactly 1 gallon of blue paint and 3 gallons of red paint were used, how many gallons of green paint were used? – OG 2020 Question #346 with Solution

A 1 minute read

Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are given A paint mixture was formed by mixing exactly 3 colors of paint. By volume, the mixture was x% blue paint, y% green paint, and z% red paint. Exactly 1 gallon of blue paint and 3 gallons of red paint

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A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? – OG 2020 Question #323 with Solution

A 2 minute read

Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are given A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. For each size, there are equal numbers of red and green toys in a certain production lot. We

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A certain painting job requires a mixture of yellow, green, and white paint. If 12 quarts of paint are needed for the job, how many quarts of green paint are needed? – OG 2020 Question #319 with Solution

A 1 minute read

Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are given A certain painting job requires a mixture of yellow, green, and white paint. 12 quants of paint are needed for the job. We need to determine The amount of green paint (in quarts) needed for the job. To find

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