Sets Test - 22...

The equation x + cosx $$=$$ a has exactly one positive root. Complete set of values of 'a' is

In an examination $$80\%$$  passed in English, $$85\%$$ in Maths, $$75\%$$ in both and $$40$$ students failed in both subjects. Then the number of  students appeared are

$$p\cap (q\cup r)=?$$

In a science talent examination, 50% of the candidates fail in Mathematics and 50% fail in Physics. If 20% fail in both these subjects, then the  percentage who pass in both Mathematics and Physics is:

If $$A - B = \phi$$ and $$B - A = \phi$$ then A and B are

All the students of a batch opted Psychology, Business, or both. 73% of the students opted Psychology and 62% opted Business. If there are  220 students, how many of them opted for both Psychology and business?

In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

If $$A$$ and $$B$$ have some elements in common, then $$n(A \cup B)$$ is:

If $$A - B = \emptyset $$, then relation between A and B is :