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Class 10 · Mathematics
→Given U = {1, 2, 3, ..., 12}, A = {1, 2, 3, 4}, and B = {3, 4, 5, 6, 7}, what is (Aᶜ ∩ B)ᶜ?
Class 10 · Mathematics
→If U1={1,2,3,4,5}, U2={1,2,3,4,5,6,7}, and A={2,5}, which extra elements are in A^c relative to U2 compared with A^c relative to U1?
Class 10 · Mathematics
→If U is enlarged and A remains the same, what may happen to A^c?
Class 10 · Mathematics
→If U ≠ ∅, which statement about A = Aᶜ is correct?
Class 10 · Mathematics
→Which statement proves that A and A^c together form a partition of U?
Class 10 · Mathematics
→If the universal set is U={1,2,3,...,10}, A={2,4,6,8,10}, and C=A^c, what is the value of C^c∩{1,2,3,4}?
Class 10 · Mathematics
→If U={1,2,3,...,18} and A={x:x is divisible by both 2 and 5}, what is A^c?
Class 10 · Mathematics
→If U = {x : x is a digit} and A = {x : x is a prime digit}, what is n(Aᶜ)?
Class 10 · Mathematics
→Which of the following statements about the complement of a set, with respect to a universal set, is always true?
Class 10 · Mathematics
→If U={1,2,3,...,12} and A={3,6,9,12}, how many elements are in A^c ∪ {6,12}?
Class 10 · Mathematics
→Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9} and A = {1, 2, 3, 4, 5, 6}. What is (Aᶜ)ᶜ ∩ {3, 6, 9}?
Class 10 · Mathematics
→If A ∪ Aᶜ = U, n(A) = 27, and n(Aᶜ) = 33, what is n(U)?
Class 10 · Mathematics
→If P ∩ Q = ∅ and P ∪ Q = U, then Pᶜ is equal to which set?
Class 10 · Mathematics
→Let U = {a, b, c, d, e, g}, A = {a, d, g}, and B = {b, c, e}. Which statement is correct?
Class 10 · Mathematics
→Let U = {1, 2, 3, 4, 5, 6, 7} and A = {2, 4, 6}. Which set B satisfies Bᶜ = A?
Class 10 · Mathematics
→Let U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}, A = {1, 2, 3, 4, 5, 6}, and Aᶜ ⊆ B ⊆ U. Which is the smallest possible set B?
Class 10 · Mathematics
→Let U = {1, 2, 3, ..., 20} and A = {x ∈ U : x is divisible by 4}. What is Aᶜ ∩ {x ∈ U : x is even}?
Class 10 · Mathematics
→Let U = {1, 2, 3, ..., 36} and A = {x ∈ U : x is a perfect square}. What is n(Aᶜ)?
Class 10 · Mathematics
→If n(U) = 96 and n(Aᶜ) = (1/3)n(U), what is the value of n(A)?
Class 10 · Mathematics
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