Problems Involving Sets

1. Which of the following statements is NOT true about Venn diagram?

• a. Intersecting sets showing information and relationship between different categories in a word problem.

• b. It is a principal way of showing sets diagrammatically.

• c. It can't be used to solve word problems involving union and intersection of sets.

2. To understand how to solve Venn diagram word problems, the word that you will often see that indicates a union is ____.

• a. "and"

• b. "or"

• c. none of the above

3. When solving problems involving sets, the following are necessary, EXCEPT?

• a. Application of the knowledge in sets.

• b. Defining and studying polygons such as triangles and quadrilaterals.

• c. The use of Venn diagram and sets operations.

For items 4 – 7. Refer to the problem below.

In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events.

4. How many played chess only?

• a. 30

• b. 6

• c. 59

For items 4 – 7. Refer to the problem below.

In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events.

5. How many played basketball only?

• a. 48

• b. 25

• c. 7

For items 4 – 7. Refer to the problem below.

In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events.

6. How many played volleyball only?

• a. 2

• b. 19

• c. 41

For items 4 – 7. Refer to the problem below.

In a group of students, 30 played chess, 19 played volleyball, 25 played basketball, 14 played both volleyball and chess, 8 played both basketball and volleyball, 15 played both basketball and chess and 5 played both three events.

7. How many students are there in all?

• a. 116

• b. 74

• c. 42

For items 8 - 10.

The diagram above shows how the 369 students of PUP-Taguig Branch go to school.

8. How many students ride both in a car and a tricycle?

• a. 4

• b. 34

• c. 54

For items 8 - 10.

The diagram above shows how the 369 students of PUP-Taguig Branch go to school.

9. How many students ride both in a car and the motorcycle?

a. 5

b. 35

c. 55

• a. 5

• b. 35

• c. 55

For items 8 - 10.

The diagram above shows how the 369 students of PUP-Taguig Branch go to school.

10. How many students ride both in a tricycle and the motorcycle?

• a. 2

• b. 32

• c. 52