alleryStart learning →A universe has 20 elements. A has 14 and B has 11. What is the full possible range for the number in A ∩ B?
A0 to 11
B5 to 11
C5 to 14
D0 to 5
Answer & Solution
Correct answer: B. 5 to 11
At least 14 + 11 − 20 = 5 must overlap; at most all 11 elements of the smaller set can overlap, and every integer between is possible.
Keep practising Sets
Browse all Sets questions for ICSE Class 8, or explore more Mathematics topics.
Related questions
U={1,2,3,4,5}, A={1,3}, (A∪B)′={4,5} and A∩B={3}. What is B?A, B ⊆ U and all complements use U. Which expression equals (A ∩ B)′?For x ∈ U and A, B ⊆ U, which condition is equivalent to x ∉ A ∪ B?A = {1, 2}, B = {2, 3}, C = {1, 3}. Each pair overlaps. What is A ∩ B ∩ C?Every element of A lies in B, and B ⊆ U. Complements use U. Which statement must hold?If A ∪ B = A ∩ B, which conclusion must be true?A, B ⊆ U satisfy A ∩ B = ∅ and A ∪ B = U. Which equality must hold?A = {1, 2}, B = {2, 3}, C = {1, 3}. Find (A ∪ B) ∩ C.