Set Theory Quiz

Review quiz on sets

1 / 50

Examine the following Venn diagram.

Find the value of P ∩ Q .

A. {a, b, y}

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

C. {d ,y}

D. {y}

2 / 50

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

A. {a,1,b,2}

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

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

D. empty

3 / 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,d,e,f and g

B. b,c,f and g

C. g and c

D. c,d,e and g

4 / 50

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

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

A. a,b,c and e

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

C. b and c

D. b,c,f and g

5 / 50

Which of the following Venn diagrams represent B ⊆ A?

A. D

B. B

C. C

D. A

6 / 50

Which of the following sets describes an infinite set?

A. A set of capital letters in English alphabet.

B. A set of vowels in English alphabet.

C. A set of real numbers greater than 0.

D. A set of natural numbers less than 1000.

7 / 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 played cricket only

C. The number of students who played tennis

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

8 / 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 do not play volleyball or basketball

B. The number of students who play volleyball

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

D. The number of students who play basketball only

9 / 50

Examine the following Venn diagram.

Find the value of 𝑨 ∪ 𝑩 ?

A. {𝑏, 𝑤, 𝑧, 𝑥}

B. {𝑎, b, 𝑥, w, 𝑦, 𝑧}

C. {𝑎, 𝑤, 𝑦, 𝑧}

D. {𝑥, 𝑦, 𝑧, 𝑤}

10 / 50

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

A. {3, 6}

B. {3, 5, 9}

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

D. {5}

11 / 50

Which of the following set is an infinite set?

A. The set of odd numbers between 1 and 100

B. The set of odd natural numbers

C. The set of all outcomes in throwing a dice

D. The set of playing cards on one suit in a deck

12 / 50

Examine the set of marbles below. Use it to answer item.

Which marble represents 50% of the set?

A. B

B. C

C. A

D. D

13 / 50

If 𝑃 = {𝑥: 𝑥 𝑖𝑠 𝑎𝑛 𝑒𝑣𝑒𝑛 𝑛𝑢𝑚𝑏𝑒𝑟} and 𝑄 = {𝑦: 𝑦 𝑖𝑠 𝑎𝑛 𝑜𝑑𝑑 𝑛𝑢𝑚𝑏𝑒𝑟}, then find the value of 𝑷 ∩ 𝑸.

A. All the even numbers

B. Empty

C. All the natural numbers

D. All the odd numbers

14 / 50

Write Finite or Infinite for the sets below

Sand on the seashore

15 / 50

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

Which student plays both football and basketball?

A. Shane

B. Danny

C. Ron

D. Ricky

16 / 50

Which of the following sets describes a finite set?

A. 𝑅 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑟𝑒𝑎𝑙 𝑛𝑢𝑚𝑏𝑒𝑟}

B. 𝑃 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑚𝑢𝑙𝑡𝑖𝑝𝑙𝑒 𝑜𝑓 3}

C. 𝑆 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑓𝑎𝑐𝑡𝑜𝑟 𝑜𝑓 15}

D. 𝑄 = {𝑥: 𝑥 𝑖𝑠 𝑎 𝑛𝑒𝑔𝑎𝑡𝑖𝑣𝑒 𝑖𝑛𝑡𝑒𝑔𝑒𝑟}

17 / 50

What is the value of in the above Venn diagram?

A. empty

B. {2}

C. {6,2}

D. {2,4}

18 / 50

Write Finite or Infinite for the sets below

Teachers in Jamaica

19 / 50

Examine the Venn diagram and use it to answer the question below.

What is the value of in the Venn diagram shown above?

A. {1,2,4,5,6}

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

C. {1,2,3,4,5,6}

D. empty

20 / 50

Which set describes a finite set?

A. A set of natural numbers less than 0

B. A set of integers between -100 and 100

C. A set of real numbers less than 0

D. A set of positive numbers greater than 0

21 / 50

Which of the following set is not an infinite set?

A. The set of even numbers

B. The set of two digit numbers

C. The set of prime numbers

D. The set of odd numbers

22 / 50

Who can play both Soccer and Tennis?

A. Paul

B. Roy

C. John

D. Samy

23 / 50

This question refers to the following Venn diagram which shows 2 games that a group of Grade 4 students engage in during their leisure time.

How many students played both dance and music during their leisure time?

A. 40

B. 30

C. 20

D. 10

24 / 50

Which of the following is an infinite set?

A. The set of numbers less than zero

B. The set of students in a class

C. The set of vowels in the alphabet

D. The set of players in a hockey team

25 / 50

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

Which student likes neither swimming nor Gymnastics?

A. Kate

B. Hillary

C. Rachel

D. Chen

26 / 50

Write Finite or Infinite for the sets below

Vehicles in Jamaica

27 / 50

Examine the following Venn diagram.

Find the value of 𝑨 𝑼 𝑩?

A. {3}

B. {2}

C. {1, 2, 3}

D. {1}

28 / 50

Examine the following Venn diagram.

Find the value of 𝑨 ∩ 𝑩?

A. {26, 39}

B. {39}

C. {118}

D. {39, 118}

29 / 50

Write Finite or Infinite for the sets below

Leaves in a Forest

30 / 50

Write Finite or Infinite for the sets below

Strands of hair on your head

31 / 50

Which of the following is not an infinite set?

A. A set of all points on a line

B. A set of all whole numbers.

C. The set of all integers.

D. The set of vowels in the alphabet.

32 / 50

Examine the following Venn diagram.

Which of the following is true?

A. D

B. C

C. B

D. A

33 / 50

Which of the symbol represent union of two sets?

A. C

B. A

C. D

D. B

34 / 50

Which of the following pairs of sets is not equivalent .

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

B. None of these

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

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

35 / 50

This question refers to the following set of numbers. {27, 83, 75, 56, 99} Which group of numbers from the set above is divisible by 3?

A. 56, 83 and 99

B. 56, 75 and 83

C. 27, 83 and 99

D. 27, 75 and 99

36 / 50

Write Finite or Infinite for the sets below

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

37 / 50

Which of the following is a finite set?

A. The set of books in a library

B. The set of integers less than 0

C. The set of multiples of 72

D. The set of integers greater than 0

38 / 50

Which of the following is an infinite set?

A. The set of positive integers greater than 10

B. The set of negative integers greater than −10

C. The set of vowels in the alphabet

D. The set of positive integers less than 10

39 / 50

Write Finite or Infinite for the sets below

Pupils in your class

40 / 50

Examine the following Venn diagram.

What is the value of 𝑨 ∩ 𝑩 ∩ 𝑪?

A. {𝑧}

B. {x}

C. {w}

D. {y}

41 / 50

Write Finite or Infinite for the sets below

Stars in the sky

42 / 50

This question refers to the following Venn diagram which shows 2 games that a group of Grade 4 students engage in during their leisure time.

How many students played both dance and music during their leisure time?

A. 40

B. 20

C. 30

D. 10

43 / 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 walking.

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

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

D. The number of people who practice running only

44 / 50

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

A. Samy

B. Paul

C. John

D. Roy

45 / 50

Examine the following Venn diagram.

Find the value of Q ∩ R .

A. {a, b, c, y}

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

C. {a, b, y}

D. {y, b}

46 / 50

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

A. C

B. B

C. D

D. A

47 / 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. M = {4, 8, 12, 16} N = {8, 12, 4, 16}

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

48 / 50

Examine the following Venn diagram.

Find the value of 𝑨 ∪ 𝑩?

A. {118, 110, 39, 24}

B. {126, 118, 24, 39}

C. {24, 39, 126, 118, 110}

D. {118, 39}

49 / 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. {c}

B. {e}

C. {c,e}

D. {b,c}

50 / 50

Write Finite or Infinite for the sets below

Bones in the human body

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The average score is 72%

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