Set — Practice Quiz
CBSE · Class 11 · Applied Mathematics
Try a 4-question quiz on Set for CBSE Class 11 Applied Mathematics: tap an answer to check it and see why. 29 questions in the full chapter test.
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Quick Quiz: Set
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If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, find n(A ∪ B).
If A = {2, 4, 6, 8} and B = {1, 3, 5, 7}, find A ∩ B.
In a class of 50 students, 30 like Mathematics and 25 like Science. If 15 students like both subjects, how many students like neither subject?
If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {2, 4, 6, 8}, find A'.
Sample Questions
Which of the following are subsets of A = {1, 2, 3, 4}? (Select all correct answers)
Show answer
∅, {1, 2}, {1, 2, 3, 4}
A subset contains only elements that are also in the original set. ∅ is a subset of every set. {1, 2} ⊆ A since 1, 2 ∈ A. {1, 2, 3, 4} = A, so A ⊆ A. {5} and {1, 5} contain element 5 which is not in A.
If A = {x : x is a natural number less than 6}, find n(A).
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5
A = {x : x is a natural number less than 6} means A = {1, 2, 3, 4, 5}. Natural numbers start from 1. Numbers less than 6 are 1, 2, 3, 4, 5. Therefore n(A) = 5.
If A = {1, 3, 5} and B = {2, 4, 6}, find A - B.
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{1, 3, 5}
A - B contains elements that are in A but not in B. Since A = {1, 3, 5} and B = {2, 4, 6}, no element of A is in B. Therefore A - B = {1, 3, 5} = A.
If n(A) = 12, n(B) = 8, and n(A ∩ B) = 3, find n(A ∪ B).
Show answer
17
Using the formula n(A ∪ B) = n(A) + n(B) - n(A ∩ B). Substituting values: n(A ∪ B) = 12 + 8 - 3 = 17. We subtract n(A ∩ B) to avoid counting common elements twice.
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Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
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