Set Theory Quiz

Review quiz on sets

1 / 50

What is the value of in the above Venn diagram?

A. {6,2}

B. {2,4}

C. {2}

D. empty

2 / 50

Examine the following Venn diagram.

Find the value of P ∩ Q .

A. {a, b,d ,x ,y , z}

B. {d ,y}

C. {a, b, y}

D. {y}

3 / 50

Examine the following Venn diagram.

Which of the following is true?

A. A

B. C

C. D

D. B

4 / 50

Which pair of sets below is equal?

A. {1,3,5,7} and {2,4,6,8}

B. {2,4,6,8} and {2,3,4,5}

C. {7,5,3,1} and {2,3,4,5}

D. {1,3,5,7} and {7,5,3,1}

5 / 50

Examine the following Venn diagram.

Find the value of Q ∩ R .

A. {a, b, c, d, y, z}

B. {y, b}

C. {a, b, y}

D. {a, b, c, y}

6 / 50

Which of the following is an infinite set?

A. The set of negative integers greater than −10

B. The set of positive integers greater than 10

C. The set of vowels in the alphabet

D. The set of positive integers less than 10

7 / 50

Which of the following Venn diagrams represent B ⊆ A?

A. C

B. A

C. D

D. B

8 / 50

If A = {1,2,3} and B = {a,b,c}, then find the value of .

A. empty

B. {a,1,b,2}

C. {1a, 2b, 3c}

D. {1,2,3,a,b,c}

9 / 50

Write Finite or Infinite for the sets below

Athletes in Jamaica

10 / 50

Write Finite or Infinite for the sets below

Strands of hair on your head

11 / 50

Examine the following Venn diagram. Use it to answer the question.

Which region or regions should be shaded to show 𝑷 ∪ 𝑸?

A. b,c,f and g

B. g and c

C. c,d,e and g

D. b,c,d,e,f and g

12 / 50

Which of the following sets describes a finite set?

A. 𝑅 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟}

B. 𝑄 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟}

C. 𝑃 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 𝑜𝑓 3}

D. 𝑆 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 15}

13 / 50

Write Finite or Infinite for the sets below

Leaves in a Forest

14 / 50

Write Finite or Infinite for the sets below

Stars in the sky

15 / 50

Write Finite or Infinite for the sets below

Bones in the human body

16 / 50

If 𝐿 = {𝑥, 𝑦, 𝑧, 𝑤}, 𝑀 = {𝑦, 𝑧, 𝑤, 𝑣}, 𝑁 = {𝑢, 𝑥, 𝑦}; then find the value of 𝑳 ∪ 𝑴 ∪ 𝑵.

A. {x,y,z,}

B. {x,y,z,w,u}

C. {x,y,z,w,u,v}

D. {x,y,z,w,v}

17 / 50

This question refers to the following Venn diagram which shows 2 games that a group of Grade 5 students engage in during their leisure time.

How many students played only Tennis during their leisure time?

A. 6

B. 8

C. 12

D. 7

18 / 50

People in a group were asked to name the exercise they practice. The data collected is shown in the following Venn diagram.

What information could be used to determine how many people practiced both walking and running?

A. The number of people who practice running only or walking only.

B. The number of people who do not practice walking or running.

C. The number of people who practice running only

D. The number of people who practice walking.

19 / 50

Examine the following Venn diagram.

What is the value of 𝑨 ∩ 𝑩 ∩ 𝑪?

A. {26}

B. {39}

C. {118}

D. {24}

20 / 50

Write Finite or Infinite for the sets below

{1,3,5,7,9...}

21 / 50

Examine the following Venn diagram.

Find the value of 𝑨 ∩ 𝑩?

A. {39}

B. {26, 39}

C. {39, 118}

D. {118}

22 / 50

Examine the Venn diagram below. Use it to answer question.

Which student plays both football and basketball?

A. Ron

B. Danny

C. Ricky

D. Shane

23 / 50

This question refers to the following Venn diagram which shows Sets P and Q.

How many elements are in either Set P or Set Q?

A. 1

B. 5

C. 3

D. 2

24 / 50

We asked a group whether they like chocolate and strawberry ice-cream. The results can be seen in the following Venn Diagram. Use the information to tell if the statements are true or false.

100 people like both chocolate and strawberry ice-cream.

A. True

B. False

25 / 50

Write Finite or Infinite for the sets below

Prime numbers between 1 and 100

26 / 50

Which of the following sets describes an infinite set?

A. A set of real numbers greater than 0.

B. A set of vowels in English alphabet.

C. A set of natural numbers less than 1000.

D. A set of capital letters in English alphabet.

27 / 50

If 𝐴 = {5, 10, 15, 20, 25, 30} and 𝐵 = {10, 20, 30, 40, 50}, then find the value of 𝑨 ∩ 𝑩?

A. {5, 10, 15, 20, 25, 30, 40, 50}

B. {40, 50}

C. Emoty

D. {10, 20, 30}

28 / 50

Which set describes a finite set?

A. A set of odd number less than 50

B. A set of negative odd numbers greater than −50.

C. A set of even numbers greater than 20.

D. A set of positive even numbers less than 80

29 / 50

Examine the Venn diagram below. Use it to answer the question given.

Who plays neither cricket nor football?

A. Paul

B. Samy

C. John

D. Roy

30 / 50

Which set describes an infinite set?

A. 𝑌 = {𝑎: 𝑎 𝑖𝑠 𝑎 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟, −10 < 𝑎 < 10}

B. 𝑊 = {𝑎: 𝑎 𝑖𝑠 𝑎 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟, 𝑎 < 1}

C. 𝑍 = {𝑎: 𝑎 𝑖𝑠 𝑎 𝑝𝑜𝑠𝑖𝑡𝑖𝑣𝑒 𝑛𝑢𝑚𝑏𝑒𝑟, 𝑎 < 100}

D. 𝑋 = {𝑎: 𝑎 𝑖𝑠 𝑎𝑛 𝑖𝑛𝑡𝑒𝑔𝑒𝑟, 1 < 𝑎 < 20}

31 / 50

The students in a class were asked to name the sport they played. The data collected is shown in the following Venn diagram.

What information could be used to determine how many students played both cricket and tennis?

A. The number of students who played cricket only or tennis only

B. The number of students who do not play cricket or tennis

C. The number of students who played cricket only

D. The number of students who played tennis

32 / 50

Write Finite or Infinite for the sets below

Sand on the seashore

33 / 50

Examine the Venn diagram below. Who can play only Soccer and not Tennis?

A. Samy

B. Paul

C. Roy

D. John

34 / 50

Which of the following is a finite set?

A. The set of integers less than 0

B. The set of books in a library

C. The set of integers greater than 0

D. The set of multiples of 72

35 / 50

Examine the following Venn diagram.

Find the value of 𝑨 𝑼 𝑩?

A. {2}

B. {3}

C. {1}

D. {1, 2, 3}

36 / 50

Which of the following pairs of sets are equivalent but not equal?

A. X = {red, yellow, orange, blue, green, violet, indego} Y = {The colours of the rainbow}

B. A = {1, 2, 3, 4, 5, 6} B = {Natural numbers less than 7}

C. P = {The set of letters in the word 'plane'} Q = {The set of letters in the word 'plain'}

D. M = {4, 8, 12, 16} N = {8, 12, 4, 16}

37 / 50

Which of the following pairs of sets below are equivalent?

A. {Even numbers between 8 and 20} and {Odd numbers between 9 and 20}

B. {Composite numbers between 10 and 20} and {Prime numbers between 10 and 20}

C. {Odd numbers between 9 and 20} and {Prime numbers between 10 and 20}

D. {Odd numbers between 9 and 20} and {Composite numbers from 10 to 20}

38 / 50

Write Finite or Infinite for the sets below

Counting numbers

39 / 50

Write Finite or Infinite for the sets below

Teachers in Jamaica

40 / 50

Examine the following Venn diagram. Use it to answer the question.

Which region or regions should be shaded to show 𝑸 ∩ 𝑹?

A. b,c,f and g

B. a,b,c,e,f and g

C. a,b,c and e

D. b and c

41 / 50

If A = {odd numbers less than 10} and B = {multiples of 5 less than 20}, then 𝐴 ∩ 𝐵?

A. {1, 3, 5, 7, 9}

B. {5}

C. {3, 5, 9}

D. {3, 6}

42 / 50

Which of the following is an infinite set?

A. {multiples of 45 less than 500}

B. {multiples of 2}

C. {factors of 12}

D. {factors of 40 greater than 10}

43 / 50

All the students in a class were asked to state whether they preferred Spider-Man or Wonder Woman. Their responses were represented in the Venn Diagram below.

Which of the following conclusions CANNOT be made from the information given in the Venn diagram?

A. Only the girls in the class like Wonder Woman.

B. More than half of the class likes Spider-Man

C. All the students in the class like either Spider-Man or Wonder Woman

D. Less than half of the class likes both Spider-Man and Wonder Woman.

44 / 50

Who can play both Soccer and Tennis?

A. Roy

B. Samy

C. John

D. Paul

45 / 50

The students in a class were asked to name the sport they played. The data collected is shown in the following Venn diagram.

What information could be used to determine how many students played both basketball and volleyball?

A. The number of students who play basketball only

B. The number of students who play basketball only or volleyball only

C. The number of students who play volleyball

D. The number of students who do not play volleyball or basketball

46 / 50

Examine the following Venn diagram. Use it to answer the question.

What is the value of 𝑷 ∩ 𝑸 ∩ 𝑹 in the above Venn diagram?

A. {e}

B. {b,c}

C. {c}

D. {c,e}

47 / 50

Which of the following pairs of sets is not equivalent .

A. None of these

B. X = {1, 3, 5, -8, 6} Y = {-8, 3, 1, 5, 6}

C. X = {1, 2, 3, 4, …….} Y = {1, 2, 3, 4, 5, …….}

D. X = {2, 4, 6, 8, 9} Y = {Natural numbers less than 9}

48 / 50

Given that B = {even numbers from 3 to 10}. Which of the following statements below is correct?

A. A

B. B

C. D

D. C

49 / 50

Examine the Venn diagram below. Use it to answer question.

Which student likes neither swimming nor Gymnastics?

A. Chen

B. Hillary

C. Kate

D. Rachel

50 / 50

This question refers to the following Venn diagram which shows Sets X and Y.

How many elements are in Set Y?

A. 3

B. 2

C. 5

D. 1

Your score is

The average score is 72%

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