# Quantitative of GMAT level 3 part 2

Subject: ; Class: ; with 35 questions; test in 75 minutes; update 03/10/2018
 Time 75 minutes Time to take the test Start exam Click button start to test. Guide to the test Subjects Gmat test Update 03/10/2018 Class Level 3 Number of questions 35 View 272 Tested 0

Question 1.

If n is an integer, which of the following must be even?

 (A) n + 1 (B) n + 2 (C) 2n (D) 2n + 1 (E) n2

Question 2.

If 4 is one solution of the equation x2 + 3x + k = 10 , where k is a constant, what is the other solution?

 (A) -7 (B) -4 (C) -3 (D) 1 (E) 6

Question 3.

The sum $${7\over 8} + {1\over 9}$$ is between

 (A) $${1\over 2} and {3\over 4}$$ (B) $$3\over 4$$ and 1 (C) 1 and 1$$1\over 4$$ (D) 1$$1\over 4$$ and 1$$1\over 2$$ (E) 1$$1\over 2$$ and 2

Question 4.

If x = 1 - 3t and y = 2t - 1 , then for what value of t does x = y ?

 (A) $$5\over 2$$ (B) $$3\over 2$$ (C) $$2\over 3$$ (D) $$2\over 5$$ (E) 0

Question 5.

1 - ($$1\over 2$$ - $$2\over 3$$ ) =

 (A) $$6\over 5$$ (B) $$7\over 6$$ (C) $$6\over 7$$ (D) $$5\over 6$$ (E) 0

Question 6.

Car X averages 25.0 miles per gallon of gasoline and Car Y averages 11.9 miles per gallon. If each car is driven 12,000 miles, approximately how many more gallons of gasoline will Car Y use than Car X ?

 (A) 320 (B) 480 (C) 520 (D) 730 (E) 920

Question 7.

How many integers n are there such that 1 < 5n + 5< 25 ?

 (A) 5 (B) 4 (C) 3 (D) 2 (E) 1

Question 8.

$$\sqrt{80}$$ + $$\sqrt{125}$$ =

 (A) 9$$\sqrt5$$ (B) 20$$\sqrt5$$ (C) 41$$\sqrt5$$ (D) $$\sqrt{205}$$ (E) 100

Question 9.

The average (arithmetic mean) of 10, 30, and 50 is 5 more than the average of 20, 40, and

 (A) 15 (B) 25 (C) 35 (D) 45 (E) 55

Question 10.

y = kx + 3

In the equation above, k is a constant. If y = 17 when  x = 2, what is the value of y when x = 4?

 (A) 34 (B) 31 (C) 14 (D) 11 (E) 7

Question 11.

Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?

 (A) 80 (B) 96 (C) 160 (D) 192 (E) 240

Question 12.

Company P had 15 percent more employees in December than it had in January. If Company P had 460 employees in December, how many employees did it have in January?

 (A) 391 (B) 400 (C) 410 (D) 423 (E) 445

Question 13.

A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a 20-day period. What percent of the original amount of water evaporated during this period?

 (A) 0.002% (B) 0.02% (C) 0.2% (D) 2% (E) 20%

Question 14.

A glucose solution contains 15 grams of glucose per 100 cubic centimeters of solution. If 45 cubic centimeters of the solution were poured into an empty container, how many grams of glucose would be in the container?

 (A) 3 (B) 5 (C) 5.5 (D) 6.5 (E) 6.75

Question 15.

On a certain day, orangeade was made by mixing a certain amount of orange juice with an equal amount of water. On the next day, orangeade was made by mixing the same amount of orange juice with twice the amount of water. On both days, all the orangeade that was made was sold. If the revenue from selling the orangeade was the same for both days and if the orangeade was sold at $0.60 per glass on the first day, what was the price per glass on the second day?  (A)$0.15 (B) $0.20 (C)$0.30 (D) $0.40 (E)$0.45

Question 16.

In the xy-plane, what is the slope of the line with equation 3x + 7y = 9 ?

 (A) -$$7\over 3$$ (B) -$$3\over 7$$ (C) $$3\over 7$$ (D) 3 (E) 7

Question 17.

If 1 kilometer is approximately 0.6 mile, which of the following best approximates the number of kilometers in 2 miles?

 (A) $$10\over 3$$ (B) 3 (C) $$6\over 5$$ (D) $$1\over 3$$ (E) $$3\over 10$$

Question 18.

A certain fruit stand sold apples for $0.70 each and bananas for$0.50 each. If a customer purchased both apples and bananas from the stand for a total of $6.30, what total number of apples and bananas did the customer purchase?  (A) 10 (B) 11 (C) 12 (D) 13 (E) 14 Question 19. The average distance between the Sun and a certain planet is approximately 2.3 x 1014 inches. Which of the following is closest to the average distance between the Sun and the planet, in kilometers? (1 kilometer is approximately 3.9 x 104 inches.)  (A) 7.1 x 108 (B) 5.9 x 109 (C) 1.6 x 1010 (D) 1.6 x 1011 (E) 5.9 x 1011 Question 20. At a certain school, the ratio of the number of second graders to the number of fourth graders is 8 to 5, and the ratio of the number of first graders to the number of second graders is 3 to 4. If the ratio of the number of third graders to the number of fourth graders is 3 to 2, what is the ratio of the number of first graders to the number of third graders?  (A) 16 to 15 (B) 9 to 5 (C) 5 to 16 (D) 5 to 4 (E) 4 to 5 Question 21. If m is the average (arithmetic mean) of the first 10 positive multiples of 5 and if M is the median of the first 10 positive multiples of 5, what is the value of M - m?  (A) -5 (B) 0 (C) 5 (D) 25 (E) 27.5 Question 22. A = { 2, 3, 4, 5} B = {4, 5, 6, 7, 8} Two integers will be randomly selected from the sets above, one integer from set A and one integer from set B. What is the probability that the sum of the two integers will equal 9 ?  (A) 0.15 (B) 0.2 (C) 0.25 (D) 0.3 (E) 0.33 Question 23. In the coordinate plane, a circle has center (2,–3) and passes through the point (5,0). What is the area of the circle?  (A) 3$$\pi$$ (B) 3$$\sqrt2 \pi$$ (C) 3$$\sqrt3 \pi$$ (D) 9$$\pi$$ (E) 18$$\pi$$ Question 24. At a certain instant in time, the number of cars, N, traveling on a portion of a certain highway can be estimated by the formula N = $$20Ld\over {600 + s^2}$$ where L is the number of lanes in the same direction, d is the length of the portion of the highway, in feet, and s is the average speed of the cars, in miles per hour. Based on the formula, what is the estimated number of cars traveling on a $$1\over 2$$ mile portion of the highway if the highway has 2 lanes in the same direction and the average speed of the cars is 40 miles per hour? (5,280 feet = 1 mile)  (A) 155 (B) 96 (C) 80 (D) 48 (E) 24 Question 25. Yesterday’s closing prices of 2,420 different stocks listed on a certain stock exchange were all different from today’s closing prices. The number of stocks that closed at a higher price today than yesterday was 20 percent greater than the number that closed at a lower price. How many of the stocks closed at a higher price today than yesterday?  (A) 484 (B) 726 (C) 1,100 (D) 1,320 (E) 1,694 Question 26. If y($${3x - 5}\over 2$$) = y and y $$\neq$$0, then x =  (A) $$2\over 3$$ (B) $$5\over 3$$ (C) $$7\over 3$$ (D) 1 (E) 4 Question 27. If x + 5 > 2 and x - 3 < 7 , the value of x must be between which of the following pairs of numbers?  (A) -3 and 10 (B) -3 and 4 (C) 2 and 7 (D) 3 and 4 (E) 3 and 10 Question 28. A gym class can be divided into 8 teams with an equal number of players on each team or into 12 teams with an equal number of players on each team. What is the lowest possible number of students in the class?  (A) 20 (B) 24 (C) 36 (D) 48 (E) 96 Question 29. At least $$2\over 3$$ of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?  (A) 19 (B) 17 (C) 16 (D) 14 (E) 13 Question 30. If n = 20! + 17, then n is divisible by which of the following? I. 15 II. 17 III. 19  (A) None (B) I only (C) II only (D) I and II (E) II and III Question 31. After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?  (A) 1.5 (B) 2.25 (C) 3 (D) 3.25 (E) 4.75 Question 32. M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?  (A) $${1\over 3} < M < {1\over 2}$$ (B) $${1\over 5} < M < {1\over 3}$$ (C) $${1\over 7} < M < {1\over 5}$$ (D) $${1\over 9} < M < {1\over 7}$$ (E) $${1\over 12} < M < {1\over 9}$$ Question 33. Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?  (A) $$x\over {x + y }$$ (B) $$y\over {x + y }$$ (C) $$xy\over{x + y}$$ (D) $$xy\over{x - y}$$ (E) $$xy\over {y - x}$$ Question 34. In the Johnsons’ monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is$1,800, what is the amount allocated to food?

 (A) $900 (B)$720 (C) $675 (D)$450 (E) \$225

Question 35.

There are 4 more women than men on Centerville’s board of education. If there are 10 members on the board, how many are women?

 (A) 3 (B) 4 (C) 6 (D) 7 (E) 8