GMAT Quantitative: Statistics and Sets Problems

Question 1

In a class of 30 students, 18 play soccer, 14 play basketball, and 8 play both. How many students play neither sport?

Accepted Answer

6

Answer

4

Answer

8

Answer

10

Question 2

In a survey of 100 people, 60 drink coffee, 50 drink tea, and 20 drink both. How many drink coffee or tea but NOT both?

Accepted Answer

70

Answer

90

Answer

80

Answer

50

Question 3

Set A = {1, 2, 3, 4, 5} and Set B = {3, 4, 5, 6, 7}. What is |A∪B| − |A∩B|?

Accepted Answer

7

Answer

5

Answer

4

Answer

6

Question 4

Set A = {1, 2, 3, 4, 5} and Set B = {3, 4, 5, 6, 7}. What is |A∪B| − |A∩B|?

Accepted Answer

4

Answer

3

Answer

5

Answer

6

Question 5

The mean of five numbers is 12. If four of the numbers are 10, 14, 8, and 16, what is the fifth number?

Accepted Answer

12

Answer

10

Answer

14

Answer

11

Question 6

A data set has values: 3, 7, 7, 9, 14. What is the median?

Accepted Answer

7

Answer

8

Answer

9

Answer

6

Question 7

A data set has values: 5, 8, 12, 15, 20, 25. What is the median?

Accepted Answer

13.5

Answer

12

Answer

14

Answer

15

Question 8

In a data set of 7 values, the mean is 10 and the median is 8. Which of the following must be true?

Accepted Answer

The data set is skewed right

Answer

The mode equals the mean

Answer

At least three values are greater than 10

Answer

The data set contains no outliers

Question 9

Which measure of central tendency is most affected by an extreme outlier in a data set?

Accepted Answer

Mean

Answer

Median

Answer

Mode

Answer

Range

Question 10

A set of 4 numbers has a mean of 8 and a range of 10. If the smallest number is 3, what is the largest number?

Accepted Answer

13

Answer

10

Answer

12

Answer

11