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GMAT Quantitative University FPT Vietnam 2017

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; Subject: ; Class: ; with 37 questions; test in 75 minutes; update 26/07/2017
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Subjects Update 26/07/2017
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Question 1.

Of the films Empty Set Studios released last year, 60% were comedies and the rest were horror films. 75% of the comedies were profitable, but 75% of the horror moves were unprofitable. If the studio made a total of 40 films, and broke even on none of them, how many of their films were profitable?

(A)

18

(B)

19

(C)

20

(D)

21

(E)

22

Question 2.

At a certain hospital, 75% of the interns receive fewer than 6 hours of sleep and report feeling tired during their shifts. At the same time, 70% of the interns who receive 6 or more hours of sleep report no feelings of tiredness. If 80% of the interns receive fewer than 6 hours of sleep, what percent of the interns report no feelings of tiredness during their shifts?

(A)

6

(B)

14

(C)

19

(D)

20

(E)

81

Question 3.

All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one group. There are 119 students in the band. If 50 percent of the students are in the band only, how many students are in the orchestra only?

(A)

30

(B)

51

(C)

60

(D)

85

(E)

119

Question 4.

Eighty percent of the lights at Hotel California are on at 8 p.m. a certain evening. However, forty percent of the lights that are supposed to be off are actually on and ten percent of the lights that are supposed to be on are actually off. What percent of the lights that are on are supposed to be off?

(A)

22(2/9)%

(B)

16(2/3)%

(C)

11(1/9)%

(D)

10%

(E)

5%

Question 5.

How many attendees are at a convention if 150 of the attendees are neither female nor students, one-sixth of the attendees are female students, two-thirds of the attendees are female, and one-third of the attendees are students?
 

(A)

300

(B)

450

(C)

600

(D)

800

(E)

900

Question 6.

Of the 645 speckled trout in a certain fishery that contains only speckled and rainbow trout, the number of males is 45 more than twice the number of females. If the ratio of female speckled trout to male rainbow trout is 4:3 and the ratio of male rainbow trout to all trout is 3:20, how many female rainbow trout are there? 

(A)

192

(B)

195

(C)

200

(D)

205

(E)

208

Question 7.

30% of major airline companies equip their planes with wireless internet access. 70% of major airlines offer passengers free on-board snacks. What is the greatest possible percentage of major airline companies that offer both wireless internet and free on-board snacks?

(A)

21%

(B)

30%

(C)

40%

(D)

50%

(E)

70%

Question 8.

In country Z, 10% of the people do not have a university diploma but have the job of their choice, and 25% of the people who do not have the job of their choice have a university diploma. If 40% of the people have the job of their choice, what percent of the people have a university diploma?

(A)

35%

(B)

45%

(C)

55%

(D)

65%

(E)

75%

Question 9.

Seventy percent of the 800 students in School T are male. At least ten percent of the female students in School T participate in a sport. Fewer than thirty percent of the male students in School T do not participate in a sport. What is the maximum possible number of students in School T who do not participate in a sport?

(A)

216

(B)

383

(C)

384

(D)

416

(E)

417

Question 10.

75% of the guestrooms at the Stagecoach Inn have a queen-sized bed, and each of the remaining rooms has a king-sized bed. Of the non-smoking rooms, 60% have a queen-sized bed. If 10% of the rooms at the Stagecoach Inn are non-smoking rooms with king-sized beds, what percentage of the rooms permit smoking?

(A)

25%

(B)

30%

(C)

50%

(D)

55%

(E)

75%

Question 11.

At the end of the day, February 14th, a florist had 120 roses left in his shop, all of which were red, white or pink in color and either long or short-stemmed. A third of the roses were short-stemmed, 20 of which were white and 15 of which were pink. The percentage of pink roses that were short-stemmed equaled the percentage of red roses that were short-stemmed. If none of the long-stemmed roses were white, what percentage of the long-stemmed roses were red?

(A)

20%

(B)

25%

(C)

50%

(D)

75%

(E)

80%

Question 12.

Some of the people in Town X are left-handed, some are tall, some are both, and some are neither. In Town Y, three times as many people are left-handed as are left-handed in Town X, three times as many people are tall as are tall in Town X, three times as many people are both as are both in Town X, but no one is neither. If the total number of people in Town X is four times greater than the total number of people in Town Y, which of the following could be the number of people in Town X who are neither left-handed nor tall?

(A)

23

(B)

39

(C)

72

(D)

143

(E)

199

Question 13.

The waiter at an expensive restaurant has noticed that 60% of the couples order dessert and coffee. However, 20% of the couples who order dessert don't order coffee. What is the probability that the next couple the waiter seats will not order dessert?

(A)

20%

(B)

25%

(C)

40%

(D)

60%

(E)

75%

Question 14.

50% of the apartments in a certain building have windows and hardwood floors. 25% of the apartments without windows have hardwood floors. If 40% of the apartments do not have hardwood floors, what percent of the apartments with windows have hardwood floors?

(A)

10%

(B)

16.66%

(C)

40%

(D)

50%

(E)

83.33%

Question 15.

A farmer has an apple orchard consisting of Fuji and Gala apple trees. Due to high winds this year 10% of his trees cross pollinated. The number of his trees that are pure Fuji plus the cross-pollinated ones totals 187, while 3/4 of all his trees are pure Fuji. How many of his trees are pure Gala?

(A)

22

(B)

33

(C)

55

(D)

77

(E)

88

Question 16.

In a group of 68 students, each student is registered for at least one of three classes – History, Math and English. Twenty-five students are registered for History, twenty-five students are registered for Math, and thirty-four students are registered for English. If only three students are registered for all three classes, how many students are registered for exactly two classes?
(A)13 (B)10 (C)9 (D)8 (E)7

Question 17.

Each of the 59 members in a high school class is required to sign up for a minimum of one and a maximum of three academic clubs. The three clubs to choose from are the poetry club, the history club, and the writing club. A total of 22 students sign up for the poetry club, 27 students for the history club, and 28 students for the writing club. If 6 students sign up for exactly two clubs, how many students sign up for all three clubs?
(A)2 (B)5 (C)6 (D)8 (E)9

Question 18.

Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?
(A)256 (B)260 (C)316 (D)320 (E)350

Question 19.

Tom, working alone, can paint a room in 6 hours. Peter and John, working independently, can paint the same room in 3 hours and 2 hours, respectively. Tom starts painting the room and works on his own for one hour. He is then joined by Peter and they work together for an hour. Finally, John joins them and the three of them work together to finish the room, each one working at his respective rate. What fraction of the whole job was done by Peter?

(A)

1/9

(B)

1/6

(C)

1/3

(D)

7/18

(E)

4/9

Question 20.

Machine A and Machine B can produce 1 widget in 3 hours working together at their respective constant rates. If Machine A's speed were doubled, the two machines could produce 1 widget in 2 hours working together at their respective rates. How many hours does it currently take Machine A to produce 1 widget on its own?

(A)

1/2

(B)

2

(C)

3

(D)

5

(E)

6

Question 21.

Adam and Brianna plan to install a new tile floor in a classroom. Adam works at a constant rate of 50 tiles per hour, and Brianna works at a constant rate of 55 tiles per hour. If the new floor consists of exactly 1400 tiles, how long will it take Adam and Brianna working together to complete the classroom floor?

(A)

26 hrs. 44 mins.

(B)

26 hrs. 40 mins.

(C)

13 hrs. 20 mins.

(D)

13 hrs. 18 mins.

(E)

12 hrs. 45 mins.

Question 22.

A copy machine, working at a constant rate, makes 35 copies per minute. A second copy machine, working at a constant rate, makes 55 copies per minute. Working together at their respective rates, how many copies do the two machines make in half an hour?

(A)

90

(B)

2,700

(C)

4,500

(D)

5,400

(E)

324,000

Question 23.

Machine A can complete a certain job in x hours. Machine B can complete the same job in y hours. If A and B work together at their respective rates to complete the job, which of the following represents the fraction of the job that B will not have to complete because of A's help?

(A)

(x – y)/ (x + y)

(B)

x / (y – x)

(C)

(x + y) / xy

(D)

y / (x – y)

(E)

y / (x + y)

Question 24.

Lindsay can paint 1/x of a certain room in 20 minutes. What fraction of the same room can Joseph paint in 20 minutes if the two of them can paint the room in an hour, working together at their respective rates?

(A)

1/3x

(B)

3x/(x – 3)

(C)

(x – 3) / 3x

(D)

x / (x – 3)

(E)

(x – 3) / x

Question 25.

One smurf and one elf can build a treehouse together in two hours, but the smurf would need the help of two fairies in order to complete the same job in the same amount of time. If one elf and one fairy worked together, it would take them four hours to build the treehouse. Assuming that work rates for smurfs, elves, and fairies remain constant, how many hours would it take one smurf, one elf, and one fairy, working together, to build the treehouse?

(A)

5/7

(B)

1

(C)

10/7

(D)

12/7

(E)

22/7

Question 26.

A paint crew gets a rush order to paint 80 houses in a new development. They paint the first y houses at a rate of x houses per week. Realizing that they'll be late at this rate, they bring in some more painters and paint the rest of the houses at the rate of 1.25x houses per week. The total time it takes them to paint all the houses under this scenario is what fraction of the time it would have taken if they had painted all the houses at their original rate of x houses per week?

(A)

0.8(80 – y)

(B)

0.8 + 0.0025y

(C)

80/y – 1.25

(D)

80/1.25y

(E)

80 – 0.25y

Question 27.

Bob bikes to school every day at a steady rate of x miles per hour. On a particular day, Bob had a flat tire exactly halfway to school. He immediately started walking to school at a steady pace of y miles per hour. He arrived at school exactly t hours after leaving his home. How many miles is it from the school to Bob's home?

(A)

(x + y) / t

(B)

2(x + t) / xy

(C)

2xyt / (x + y)

(D)

2(x + y + t) / xy

(E)

x(y + t) + y(x + t)

Question 28.

Lexy walks 5 miles from point A to point B in one hour, then bicycles back to point A along the same route at 15 miles per hour. Ben makes the same round trip, but does so at half of Lexy’s average speed. How many minutes does Ben spend on his round trip?

(A)

40

(B)

80

(C)

120

(D)

160

(E)

180

Question 29.

Triathlete Dan runs along a 2-mile stretch of river and then swims back along the same route. If Dan runs at  a rate of 10 miles per hour and swims at a rate of 6 miles per hour, what is his average rate for the entire trip in miles per minute?

(A)

1/8

(B)

2/15

(C)

3/15

(D)

1/4

(E)

3/8

Question 30.

Tom and Linda stand at point A. Linda begins to walk in a straight line away from Tom at a constant rate of 2 miles per hour. One hour later, Tom begins to jog in a straight line in the exact opposite direction at a constant rate of 6 miles per hour. If both Tom and Linda travel indefinitely, what is the positive difference, in minutes, between the amount of time it takes Tom to cover half of the distance that Linda has covered and the amount of time it takes Tom to cover twice the distance that Linda has covered?

(A)

60

(B)

72

(C)

84

(D)

90

(E)

108

Question 31.

It takes the high-speed train x hours to travel the z miles from Town A to Town B at a constant rate, while it takes the regular train y hours to travel the same distance at a constant rate. If the high-speed train leaves Town A for Town B at the same time that the regular train leaves Town B for Town A, how many more miles will the high-speed train have traveled than the regular train when the two trains pass each other?

(A)

\(z(y-x)\over x+y\)

(B)

\(z(x-y)\over x+y\)

(C)

\(z(x+y)\over y-x\)

(D)

\(xy(x+y)\over y-x\)

(E)

\(xy(x+y)\over x-y\)

Question 32.

The ‘moving walkway’ is a 300-foot long conveyor belt that moves continuously at 3 feet per second. When Bill steps on the walkway, a group of people that are also on the walkway stands 120 feet in front of him. He walks toward the group at a combined rate (including both walkway and foot speed) of 6 feet per second, reaches the group of people, and then remains stationary until the walkway ends. What is Bill’s average rate of movement for his trip along the moving walkway?

(A)

2 feet per second

(B)

2.5 feet per second

(C)

3 feet per second

(D)

4 feet per second

(E)

5 feet per second

Question 33.

John and Jacob set out together on bicycle traveling at 15 and 12 miles per hour, respectively. After 40 minutes, John stops to fix a flat tire. If it takes John one hour to fix the flat tire and Jacob continues to ride during this time, how many hours will it take John to catch up to Jacob assuming he resumes his ride at 15 miles per hour? (consider John's deceleration/acceleration before/after the flat to be negligible)

(A)

3

(B)

3.33

(C)

3 ½

(D)

4

(E)

4 ½

Question 34.

Deb normally drives to work in 45 minutes at an average speed of 40 miles per hour. This week, however, she plans to bike to work along a route that decreases the total distance she usually travels when driving  by 20% . If Deb averages between 12 and 16 miles per hour when biking, how many minutes earlier will she need to leave in the morning in order to ensure she arrives at work at the same time as when she drives?

(A)

135

(B)

105

(C)

95

(D)

75

(E)

45

Question 35.

Alex and Brenda both stand at point X. Alex begins to walk away from Brenda in a straight line at a rate of 4 miles per hour. One hour later, Brenda begins to ride a bicycle in a straight line in the opposite direction at a rate of R miles per hour. If R > 8, which of the following represents the amount of time, in terms of R, that Alex will have been walking when Brenda has covered twice as much distance as Alex?

(A)

R – 4

(B)

R / (R + 4)

(C)

R / (R – 8)

(D)

8 / (R – 8)

(E)

R2  – 4

Question 36.

On Monday, Lou drives his ford escort with 28-inch tires, averaging x miles per hour. On Tuesday, Lou switches the tires on his car to 32-inch tires yet drives to work at the same average speed as on Monday. What is the percent change from Monday to Tuesday in the average number of revolutions that Lou’s tires make per second?

(A)

Decrease by 14.3%

(B)

Decrease by 12.5%

(C)

Increase by 14.3%

(D)

Increase by 12.5%

(E)

cannot be determined with the given information

Question 37.

Martha takes a road trip from point A to point B. She drives x percent of the distance at 60 miles per hour and the remainder at 50 miles per hour. If Martha's average speed for the entire trip is represented as a fraction in its reduced form, in terms of x, which of the following is the numerator?

(A)

110

(B)

300

(C)

1,100

(D)

3,000

(E)

30,000

Question 38.

There are 19 students in Mr.Paul's class. Each student in his class needs 65 cm string for the group project. How many 5 meter stings does he need to buy for all students in his class?

(A)

3

(B)

2

(C)

12

(D)

4

(E)

5

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35    Question 36    Question 37    Question 38   
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