# How to use Tree Structures to solve GMAT arithmetic problems

Read More # 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

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

Read More # What was the population of City X in 2002? – OGQR 2020 Question #209 with Solution

Solution Steps 1 & 2: Understand Question and Draw Inferences In this question, we are asked to find the population of city X in 2002. We do not have much information to infer from, let us move to analyse the statements.   Step 3: Analyse Statement 1 “X’s population in 2002 increased by 2 percent, or

Read More # Carl averaged 2m miles per hour on a trip that took him h hours. If Ruth made the same trip in h hours, what was her average speed in miles per hour? – OGQR 2020 Question #82 with Solution

Solution Given In this question, we are given Carl averaged 2m miles per hour on a trip that took him h hours. Ruth made the same trip in (2/3)h hours To Find We need to determine The average speed of Ruth, in miles per hour. Approach & Working Both of them are making the same

Read More # 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

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

Read More # 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

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

Read More # 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

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

Read More # 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

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

Read More # If a merchant purchased a sofa from a manufacturer for \$400 and then sold it, what was the selling price of the sofa? – OG 2020 Question #381 with Solution

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