GMAT Quantitative Reasoning Practice Test 3

In order to make his weekly quota, Thomas must average 15 sales per day. This week he set a goal to increase his sales by 20%.  So far this week he has made (16, 12, 11, 19, 22) sales. What must his average sales be for the remaining two days of the week?

Jason works in both a laundromat and a gas station. In a 45-day period, he worked at the laundromat 5/18 of the days, and he did not work for 1/3 of the days. The rest of the days he spent working at the gas station. If one day is equivalent to an 8-hour shift, how many hours did Jason work at the gas station during this period?

An event planner has prepared 2,250 packets for attendees, and 58 packets for presenters. The attendee packets cost 20% more to produce than the packets for the presenters. How much did the event planner spend preparing the presenter packets, if the total cost was $10,342.50?

It is given that p, q & r are three integers greater than zero. If (q-p) = 1 and (r -q) = 1 then which of the following must be true?

I. The product of the three integers is a multiple of 6

II. (r-p)(q-p+1) = 4

III. The product, pq is not even

A school administrator is organizing a field trip for 380 students. She decides that the ratio of students to chaperones needs to be 4:1. The charter bus company states that each bus can accommodate 64 individuals. How many buses are needed?

A cistern has two pipes that fill it. When fully open, Pipe A can fill the tank in 25 minutes, and Pipe B can fill the tank in 40 minutes. If the cistern is already 25% full, how long will it take the cistern to reach maximum capacity with Pipe A operating at 80% and Pipe B operating at 100%? Round your answer to the nearest hundredth of a minute.

The incomplete table below shows the breakdown of the male and female 5th grade students at a local middle school.

What is the probability that a student chosen at random will be a male that has a height ≥ 72 inches?

Eric, Dan, Mike, and Tony competed in the Academic Challenge.  Together they scored 50 points. Eric scored ⅓ more than Dan. Mike and Dan scored half the team points together. Tony scored 75% of what Dan scored. How many points did Mike score?

If 4x – y = 6, what is 16^x / 2^y ?

If X is the set of all positive integers that are multiples of 3 ≤ 169, and R is the set of all positive perfect squares ≤ 150, what is the relationship of {9, 36, 81, 144}?

A certain toaster at the mall is priced at $30. The store is offering a 15% discount sale, and you have a coupon for an additional $5 off. Which of the following is closest to the percent of change from the discounted price to the final sales price?

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

8¹² – 3⁹ – 5⁵

Line A has a slope of 3/2 and passes through the point (4,0), which is the intersection of Line B. Line B is perpendicular to Line A. What is the product of the y-intercepts of the two lines?

If 4x² – 4x – 8 = 0 and 2p² + p – 10 = 0, what is the sum of all solutions for p and g?

ABC is an equilateral triangle. What is its area in square inches?

Consider the parallelogram below. What is the complement of ∠R?

A 2 inch cube is filled with water. When a marble is placed inside the water it displaces approximately 0.065in³ of water. Which of the following is closest to how much more water, in cubic inches, would be displaced if the marble had twice the diameter?

Consider the following inscribed squares. The area of Square BDFH is 16in². What is the area of portion of Square ACEG that is not covered by Square BDFH?

What is ∠y – ∠x?

A tabletop measures 24 inches in length and 36 inches in width. It is being tiled using congruent right isosceles triangles with legs that are 1.5 inches in length. How many triangles will it take to completely tile the tabletop?

In the figure below, lines AB and CD intersect at Point E. If m∠AEC:m∠AED is 3:7, what is m∠DEB?