Sets Test - 3...

Let R be set of points inside a rectangle of sides a and b (a, b > 1) with two sides along the positive direction of x-axis and C be the set of points inside a unit circle, then which of the following statements is true?

In a college, 40% of the students play basketball, 34% play tennis and 234 play both the sports. The number of students who play neither basketball nor tennis is 52% of the total students. What is the total number of students in the college?

In a survey of political preference, people were asked to give their preference on three government proposals I, II and III. 78% were in favour of atleast one of the proposals, 50% favoured proposal I, 30% favoured proposal II and 20% favoured proposal III. If 5% favoured all the three proposals, what percent of people favoured more than one of the three proposals?

If A is any set , then

Let A = { a,b,c } , B = { b,c,d } , C = { a,b,d,e } , then  A∩(B∪C) is

If A and B are two sets , then A∪B=A∩B iff

The power set of {2, 5} is

If A and B be any two sets , then (A∪B)′  is equal to

In a town, 48% people are educated, 51% people are young, 60% are servicemen, 24% are educated and young. There are 25% are young and servicemen, 27% are educated and servicemen and 5% fit in all the three categories. What is the ratio of educated or young, but not servicemen to young or servicemen but not educated?