Test 9
1.
\(A\subset U\)
\(B\subset U\)
\(n(A)+n(B')=7\)
\(n(A')+n(B)=5\)
\(\Rightarrow n(U)=?\)
A) \(2\)B) \(4\)C) \(6\)D) \(12\)E) \(24\)
2.
\(A\subset U\)
\(B\subset U\)
\(n(A')=n(B')\)
\(n(A\setminus B)=n[(A\cup B)']=n(A\cap B)=4\)
\(\Rightarrow n(A\cup B)=?\)
A) \(4\)B) \(8\)C) \(12\)D) \(16\)E) \(20\)
3.
\(A\subset U\)
\(B\subset U\)
\(n(A)=7,\ n(U\setminus A)=5\)
\(n((B\cup A)')=3\)
\(\Rightarrow n(A\cup B)=?\)
A) \(7\)B) \(8\)C) \(9\)D) \(10\)E) \(11\)
4.
\(A\subset U\)
\(B\subset U\)
\(n(A')=16\)
\(n(A)=7\)
\(n(B')=9\)
\(n(B\setminus A)=1\)
\(\Rightarrow n(A\cap B)=?\)
A) \(9\)B) \(10\)C) \(11\)D) \(12\)E) \(13\)
5.
\(A\subset U\quad B\subset U\)
\(n(A)+n(B')=32\)
\(n(A')+n(B)=16\)
\(\Rightarrow n(U)=?\)
A) \(18\)B) \(20\)C) \(22\)D) \(24\)E) \(26\)
6.
\(B\subset A\subset U\)
\(n(U)=19\)
\(n(A')=5\)
\(n(B)=8\)
\(\Rightarrow n(A\setminus B)=?\)
A) \(6\)B) \(5\)C) \(4\)D) \(2\)E) \(1\)
7.
\(A\subset U\)
\(B\subset U\)
\(n(B')=8\)
\(n(A'\cap B')=3\)
\(\Rightarrow n(A\cap B')=?\)
A) \(1\)B) \(2\)C) \(3\)D) \(4\)E) \(5\)
8.
\(A\subset U\)
\(B\subset U\)
\(n(A)+n(B')=12\)
\(n(B)+n(A')=10\)
\(n(A\cup B)=8\)
\(\Rightarrow n((A\cup B)')=?\)
A) \(7\)B) \(6\)C) \(4\)D) \(3\)E) \(2\)