Quiz #2 - Math 7 Set Theory

In a group of students, 65 play foot ball, 45 play hockey, 42 play cricket, 20 play foot ball and hockey, 25 play foot ball and cricket, 15 play hockey and cricket and 8 play all the three games. Find the total number of students in the group (Assume that each student in the group plays at least one game).

• 100

• 105

• 110

• 120

Let A and B be two finite sets such that n(A) = 20, n(B) = 28 and n(A ∪ B) = 36, find n(A ∩ B).

• 9

• 10

• 11

• 12

How many students like blue color?

• 21

• 24

• 25

• 28

How many students like yellow and red?

• 3

• 5

• 8

• 17

How many students like yellow only?

• 2

• 6

• 11

• 27

What statement does the shaded region represent?

• A or B and C

• A or B

• Not C

• B and C or A

How many students do not ski or ice skate?

• 10

• 16

• 22

• 28

Determine the number of people who participated in weight-training (W) and cardio (C).

• 15

• 54

• 69

• 75

If P = {0, 1, 2, 3, 4}, Q = {4, 6, 8}

R = {6, 12, 18} Then what is (P ∩ Q) ∪ (Q ∩ R)?

• {4}

• {4, 6}

• {4, 6, 8}

• {1, 2, 3, 4, 6, 8}

From the above Venn diagram, what is the set S ∩ T?

• {casey, drew, jade, glen}

• {alex, casey, drew,hunter}

• {casey, drew}

• {drew, jade}