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Class 12 · Mathematics
→If A ⊆ B ⊆ U, which statement is always true?
Class 10 · Mathematics
→If A = {1, 2, 3, 4}, how many elements of P(A) have 3 as their maximum element?
Class 10 · Mathematics
→Let U = {x ∈ Z : −5 ≤ x ≤ 5} and A = {x ∈ U : |x| ≤ 2}. How many elements does the complement A′ relative to U contain?
Class 10 · Mathematics
→If A = {a, b, c, d, e}, how many elements of P(A) contain exactly one of a and b and also contain e?
Class 10 · Mathematics
→Let U = {1, 2, 3, ..., 30}, and let A be the set of numbers divisible by 2 or 3. What is |A′|?
Class 10 · Mathematics
→If A = {1, 2, 3, 4, 5, 6, 7}, how many elements of P(A) do not have exactly 5 elements?
Class 10 · Mathematics
→Let U be the set of all triangles and let E be the set of all equilateral triangles. What does the complement E′ represent?
Class 10 · Mathematics
→If A = {∅, {∅}}, how many elements does its power set P(A) contain?
Class 10 · Mathematics
→If U={1,2,3,4,5,6,7,8,9,10}, A={1,2,3,4,5}, and B={2,4,6,8,10}, how many elements are in A'∪B'?
Class 10 · Mathematics
→If A has 4 elements and B has 5 elements with A⊂B, how many elements are in P(B)\P(A)?
Class 10 · Mathematics
→If U={1,2,3,4,5,6,7}, A={1,3,5,7}, how many elements does the power set P(A') of the complement of A with respect to U contain?
Class 10 · Mathematics
→If A={1,2,3,4}, how many ordered pairs (X,Y) satisfy X⊆Y⊆A and Y=A?
Class 10 · Mathematics
→If U={0,1,2,3,4,5,6,7,8,9} and A={x∈U:x^2<25}, what is the complement A' with respect to U?
Class 10 · Mathematics
→If A={r,s,t,u,v}, how many elements of P(A) are supersets of {r,s} but do not contain v?
Class 10 · Mathematics
→Let N={1,2,3,...}. If U={x∈N:x≤20} and A={x∈U:x is a perfect square}, what is the value of |A'|?
Class 10 · Mathematics
→If P(A)=P(B), which conclusion is necessary?
Class 10 · Mathematics
→If A={1,2,3,4,5}, how many elements of the power set P(A) contain at least one of 2 and 3?
Class 10 · Mathematics
→If U={1,2,3,4,5,6,7,8}, A={2,4,6,8}, and B={1,2,3,4}, what is the value of (A∩B)'?
Class 10 · Mathematics
→If A = {a, b, c, d}, how many elements of the power set P(A) are not disjoint from {a, d}?
Class 10 · Mathematics
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