Sets — Practice Quiz
Maharashtra Board · Class 9 · Mathematics
Try a 4-question quiz on Sets for Maharashtra Board Class 9 Mathematics: tap an answer to check it and see why. 59 questions in the full chapter test.
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Quick Quiz: Sets
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If A = {2, 4, 6, 8} and B = {4, 8, 12, 16}, find n(A ∩ B).
If A = {1, 2, 3, 4, 5} and B = {3, 4, 5, 6, 7}, find n(A ∪ B).
Which set represents the solution of x² = 9?
If A ⊆ B and n(A) = 5, n(B) = 8, find n(A ∩ B).
Sample Questions
Which of the following are finite sets?
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Set of vowels in English alphabet, Set of days in a week, Set of students in your class
Finite sets have countable elements. Vowels = {a, e, i, o, u} (5 elements), Days = {Monday, Tuesday, ...Sunday} (7 elements), Students in class (countable number). Natural numbers and whole numbers are infinite sets.
Which of the following statements are true about empty set φ?
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φ ⊆ A for any set A, n(φ) = 0, φ ∩ A = φ for any set A, φ ∪ A = A for any set A
Empty set φ has no elements, so n(φ) = 0. It's subset of every set. φ ∩ A = φ (no common elements), φ ∪ A = A (union adds nothing). φ has zero elements, not one.
In a class of 40 students, 25 like Mathematics and 20 like Science. If 8 students like both subjects, how many like only Mathematics?
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17
Students who like only Mathematics = Total who like Math - Those who like both = 25 - 8 = 17. Using Venn diagram: Only Math = 17, Both = 8, Only Science = 12.
If U = {1, 2, 3, 4, 5, 6, 7, 8} and A = {1, 3, 5, 7}, find A'.
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{2, 4, 6, 8}
A' (complement of A) contains all elements in U that are not in A. U = {1, 2, 3, 4, 5, 6, 7, 8}, A = {1, 3, 5, 7}. So A' = {2, 4, 6, 8}.
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