Test 10
1.
\(A\subset U\quad B\subset U\)
\(n[(A\cap B)']=11\)
\(n(A')+n(B')=13\)
\(\Rightarrow n(A\cup B)'=?\)
A) \(2\)B) \(7\)C) \(11\)D) \(13\)E) \(24\)
2.
\(A\subset U\quad B\subset U\)
\(n(U)=15\)
\(n(A)=8\)
\(n(A\cup B)=12\)
\(n(A\cap B)=3\)
\(\Rightarrow n(U\setminus B)=?\)
A) \(14\)B) \(12\)C) \(10\)D) \(9\)E) \(8\)
3.
\(A\subset U\)
\(B\subset U\)
\(n(A')=8\)
\(n(B')=12\)
\(\Rightarrow n(A)-n(B)=?\)
A) \(15\)B) \(12\)C) \(11\)D) \(5\)E) \(4\)
4.
\(n(A)=8\)
\(n(B)=9\)
\(n(C)=10\)
\(n(A\cap B)=3\)
\(n(B\cap C)=7\)
\(n(A\cap C)=4\)
\(n(A\cup B\cup C)=15\)
\(\Rightarrow n(A\cap B\cap C)=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
5.
\(n(A\cap B\cap C)=3\quad n(B\cap C)=7\)
\(n(A\cap B)=5\quad n(A\cap C)=6\)
\(n(A)=10\quad n(B)=15\)
\(n(C)=12\)
\(\Rightarrow n(A\cup B\cup C)=?\)
A) \(20\)B) \(22\)C) \(24\)D) \(26\)E) \(28\)
6.
\(A\subset U\quad B\subset U\)
\(n(A')=16\quad n(B')=20\)
\(n(U)=40\quad n(A'\cap B')=5\)
\(\Rightarrow n(A\cap B)=?\)
A) \(6\)B) \(7\)C) \(8\)D) \(9\)E) \(10\)
7.
\(A\cap B=\varnothing\quad B\cap C=\varnothing\)
\(A\cap C=\varnothing\quad n(A\cup B)=17\)
\(n(B\cup C)=25\quad n(A\cup C)=22\)
\(\Rightarrow n(A)=?\)
A) \(16\)B) \(15\)C) \(13\)D) \(10\)E) \(7\)
8.
\(A\subset U\quad B\subset U\quad C\subset U\)
\((A\cap B)=(A\cap C)=(B\cap C)=\varnothing\)
\(n(A')=10\)
\(n(B')=7\)
\(n(C')=8\)
\(n(A'\cup B'\cup C')=11\)
\(\Rightarrow n(A\cup B)=?\)
A) \(8\)B) \(7\)C) \(6\)D) \(5\)E) \(4\)