GMAT Quantitative Reasoning Practice Test 2

Eric’s workout is to complete 15 sets of push ups consisting of 10 repetitions per set. He has performed a total 25 push ups so far today. What is the fractional part of his remaining exercise?

X represents the set of all positive multiples of 4 that are less than 200. R is the set of all positive multiples of 7 that are less than or equal to 175. What is X ∩ R?

Burgers at Burger Barn cost w dollars. The same burger costs 25% less at Burger Shack. How many burgers can be purchased for z dollars at Burger Shack?

Alex tutors students on the weekend and deposits the money into his account. Over the past 6 weeks he has made deposits of $75, $83, $91, $48, $74, $61. What must his deposits average over the next four weeks to increase his total weekly average deposit to $80?

Sarah’s fuel gauge reads 1/8th full. She adds 10 gallons to the tank and the gauge now reads 3/4ths full. In gallons, what is the capacity of her fuel tank?

If (x + 3)² = 16 and (y + 4)² = 36, what is the maximum value of y|x|?

Consider quadrilateral ABDF. What is the area of quadrilateral ABCE, in square units?

The integer x is positive, while the integer y is negative. Which of the following will produce a positive integer?

Alice is keeping pitching stats for her softball team. In a certain game, the ratio of strikes to balls pitched was 2:5. Which of the following could not be the total number of pitches thrown during the game?

A train left Boston at an average speed of 45 miles per hour for the first part of the trip, and the speed increased to 60 miles per hour for the second part. The average speed of the entire trip was 50 miles per hour. How many hours was the trip?

During the summer, Terrence works out daily to build muscle and put on weight for the football season. He gains an average of 2.25 pounds each of the 9 weeks of his program. What percent of his original 220 pounds did Terrence gain?

When fully evaluated, what digit is in the ones place value for the following expression?

5¹¹ – 8⁶ – 3⁵

A community college is trying to decide what extracurriculars to offer next semester. They surveyed 400 students, and presented their findings in this graph:

How many students would participate in both Show Choir and Crafts Club?

If 3g² – 7g – 20 = 0 and 12p² + 4p – 8 = 0, what is the sum of all solutions for p and g?

JuiceCo. makes a punch that is a combination of cranberry, pineapple, and orange juices. The ratio of the juices is  4:6:14, respectively. A mistake by a new employee caused the ratio of cranberry to pineapple juice to double, and the ratio of cranberry to orange juice to be halved. Of the 90 gallons produced, about how many gallons is cranberry juice?

Jefferson is self-employed. During the summer he likes to work fewer hours each week, but he increases his rates so that his weekly pay is consistent year round. He plans to decrease his hours by 25% this year. By what percent must he increase his rates?

A bag contains red, yellow, blue, and black marbles. There are 80% more yellow than red. The ratio of yellow to blue is three to five. There are ⅓ less black marbles than blue. What is the ratio of red to black marbles?

What value works as a solution to both equations?

(6x + 12)(3x-4) = 0; and (-2.5x – 5)(2x – 4.5) = 0

What is ∠y + ∠x

A school is holding a pizza party for the top performers of their most recent standardized test. The distribution of scores is symmetrical about the mean and bell-shaped. The administration determined the invitations will go out to only the students that scored above the standard deviation.

If 68% of the students scored within one standard deviation, what percent of the students will receive an invitation?

Three positive integers are chosen at random from a list ranging from 2 to 100, with the next number being a greater value than the previous. We know that a < b < c. Which of the following is a true statement?

1. (ab – c) < (bc – a)
2. (b / a) > (b / c)
3. (b^c)^a < (c^b)^a