Set Theory and Venn Diagrams Quiz

Challenge yourself with these set theory questions covering subsets, intersections, unions, and complements.

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Which of the following sets is a subset of {1, 2, 3, 4}?

{1, 2}

{2, 3, 5}

{3, 4, 5}

{2, 4, 6}

3 answered

In a group of 80 students, 45 like chocolate ice cream, and 35 like vanilla ice cream. How many students like both chocolate and vanilla ice cream?

2 answered

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A ∩ B?

{4, 5}

{1, 2, 3}

{6, 7, 8}

{1, 2, 3, 4, 5, 6, 7, 8}

2 answered

If A and B are two sets such that n(A) = 30, n(B) = 40, and n(A ∩ B) = 10, what is n(A ∪ B)?

1 answered

If A = {a, b, c, d} and B = {c, d, e, f}, what is A ∩ B?

{a, b}

{c, d}

{e, f}

{a, b, c, d, e, f}

In a survey, 50 people like apples, 40 people like bananas, and 30 people like both apples and bananas. How many people were surveyed?

100

110

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, what is A ∩ B?

{4, 5}

{1, 2, 3, 4, 5, 6, 7}

{1, 2, 3}

{6, 7}

In a group of 60 students, 40 like pizza, and 30 like burgers. If 20 students like both pizza and burgers, how many students don't like either pizza or burgers?

In a class of 50 students, 30 play football, and 25 play cricket. If every student plays at least one sport, what is the maximum number of students who could play both football and cricket?

1 answered

#10

If A = {x | x is a vowel in the word 'MATHEMATICS'} and B = {y | y is a consonant in the word 'MATHEMATICS'}, then what is A ∩ B?

{M, T}

{A, E, I}

{M, T, C}

{A, E, I, O, U}

1 answered

#11

If A = {x | x is an even number between 1 and 10} and B = {y | y is a prime number between 1 and 10}, what is A ∩ B?

{2, 3, 5, 7}

{2, 4, 6, 8, 10}

{2}

{3, 5, 7}

2 answered

#12

If A = {a, b, c, d, e} and B = {a, c, e, g}, what is A - B?

{a, b, c, d, e, g}

{b, d}

{a, c, e}

{g}

1 answered

#13

In a group of students, 30 study Physics, 25 study Chemistry, and 20 study Biology. 10 students study both Physics and Chemistry, 8 study Physics and Biology, and 5 study Chemistry and Biology. How many students study all three subjects?

#14

What is the complement of the set {x | x is an even number from 1 to 10}?

{1, 3, 5, 7, 9}

{2, 4, 6, 8, 10}

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

{1, 2, 3, 4, 5}

#15

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A - B?

{1, 2}

{3, 4, 5}

{1, 2, 3, 4, 5, 6, 7}

{6, 7}

#16

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A ∩ B?

{3, 4, 5}

{1, 2, 3, 4, 5, 6, 7}

{1, 2, 3}

{6, 7}

#17

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A ∪ B?

{1, 2, 3, 4, 5, 6, 7}

{3, 4, 5}

{1, 2, 6, 7}

{1, 2, 3, 4, 5}

#18

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A - B?

{1, 2, 3}

{4, 5}

{6, 7, 8}

{1, 2, 3, 4, 5, 6, 7, 8}

#19

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8}, what is A' (the complement of A)?

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

{1, 3, 5, 7, 9, 10}

{2, 4, 6, 8}

{1, 3, 5, 7}

#20

Set Theory and Venn Diagrams Quiz

Which of the following sets is a subset of {1, 2, 3, 4}?

In a group of 80 students, 45 like chocolate ice cream, and 35 like vanilla ice cream. How many students like both chocolate and vanilla ice cream?

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A ∩ B?

If A and B are two sets such that n(A) = 30, n(B) = 40, and n(A ∩ B) = 10, what is n(A ∪ B)?

If A = {a, b, c, d} and B = {c, d, e, f}, what is A ∩ B?

In a survey, 50 people like apples, 40 people like bananas, and 30 people like both apples and bananas. How many people were surveyed?

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7}, what is A ∩ B?

In a group of 60 students, 40 like pizza, and 30 like burgers. If 20 students like both pizza and burgers, how many students don't like either pizza or burgers?

In a class of 50 students, 30 play football, and 25 play cricket. If every student plays at least one sport, what is the maximum number of students who could play both football and cricket?

If A = {x | x is a vowel in the word 'MATHEMATICS'} and B = {y | y is a consonant in the word 'MATHEMATICS'}, then what is A ∩ B?

If A = {x | x is an even number between 1 and 10} and B = {y | y is a prime number between 1 and 10}, what is A ∩ B?

If A = {a, b, c, d, e} and B = {a, c, e, g}, what is A - B?

In a group of students, 30 study Physics, 25 study Chemistry, and 20 study Biology. 10 students study both Physics and Chemistry, 8 study Physics and Biology, and 5 study Chemistry and Biology. How many students study all three subjects?

What is the complement of the set {x | x is an even number from 1 to 10}?

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A - B?

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A ∩ B?

If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, what is A ∪ B?

If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is A - B?

If U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10} and A = {2, 4, 6, 8}, what is A' (the complement of A)?

In a class of 60 students, 35 study Mathematics, 25 study Physics, and 15 study both Mathematics and Physics. How many students study only Physics?

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