Set Theory Test...

In a group, if 60% of people drink tea and 70% drink coffee. What is the maximum possible percentage of people drinking either tea or coffee but not both?

If A and B are two disjoint sets and N is universal set, then $$\displaystyle A^{\circ}\cup \left [ \left ( A\cup B \right )\cap B^{\circ} \right ]$$ is 

If out of 150 students who read at least one newspaper The Times of India, The Hindustan Times and The Hindu. There are 65 who read The Times of India, 41 who read The Hindu and 50 who read The Hindustan Times. What is the maximum possible number of students who read all the three newspaper?

Find the number of students that had taken only mathematics

Out of 800 boys in a school, 224 played cricket, 240 played hockey and 336 played basketball. Of the total, 64 played both basketball and hockey ; 80 played cricket and basketball and 40 played cricket and hockey 24 player all the three games. The number of boys who did not play any game is

Sets A and B have 3 and 6 elements respectively. What can be the minimum number of elements in $$A\cup B$$ ? 

How many subsets can be formed from the set $$\left \{p, q, r\right \}$$ is?

If $$A=\left \{1, 2, 3, .....9\right \}$$ and $$B=\left \{2, 3, 4, 5, 7, 8\right \}$$, then A-B is given by

The set of real numbers r satisfying
$$\displaystyle \frac{3 r^2- 8r+5}{4r^2-3r+7}>0$$ is

Let $$ S=\left\{1,2,3,.....40\right\} $$ and let $$A$$ be a subset of $$S$$ such that no two elements in $$A$$ have their sum divisible by $$5$$ What is the maximum number of elements possible in $$A$$?