Quantitative ReasoningGMAT Focus Edition

GMAT Sets & Overlapping Groups practice questions

Sets & Overlapping Groups is a high-yield GMAT topic. Work through these practice questions to build accuracy and speed before test day.

Free Sets & Overlapping Groups practice

5 sample questions

Practice Question 1easyProblem Solving

A hotel has 150 rooms. On Monday, 30% of the rooms were occupied. On Tuesday, 60% of the rooms were occupied. What was the average occupancy rate for the two days, calculated as a percentage of total possible room-days?

A.

40%

B.

42.5%

C.

45%

D.

47.5%

E.

50%

Practice Question 2easyProblem Solving

A hotel has 20 standard rooms and 80 deluxe rooms. On a particular night, 70% of the standard rooms and 90% of the deluxe rooms were occupied. What was the overall occupancy rate for the hotel that night?

A.

76%

B.

80%

C.

84%

D.

86%

E.

88%

Practice Question 3easyProblem Solving

A hotel has 50 rooms. During a conference, 40 rooms were occupied for 3 nights each, while the remaining 10 rooms were occupied for 1 night each. What was the average number of nights a room was occupied during the conference?

A.

1.2

B.

2.0

C.

2.2

D.

2.6

E.

3.0

Practice Question 4easyProblem Solving

A restaurant surveys its lunch customers and finds that the ratio of customers who ordered a salad to those who ordered a sandwich is 3:5. If 48 customers ordered a sandwich, how many customers ordered a salad?

A.

18

B.

24

C.

28.8

D.

30

E.

32

Practice Question 5mediumProblem Solving

A movie theater conducted a survey among its audience on a Saturday afternoon. Out of 120 attendees, 45 preferred action movies, 60 preferred comedy movies, and 20 preferred both genres. The survey also revealed that 15 attendees had no preference between the two genres but would watch either type. How many attendees did not prefer either action or comedy movies?

A.

10

B.

15

C.

20

D.

25

E.

30

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