Sets Test - 2...

If A and B are two sets, then A∩(A∪B)′ is equal to

In a town with a population of 5000, the number of people who are egg-eaters is 3200. If 2500 are meat-eaters and 1500 eat both egg and meat, then how many of them eat neither meat nor egg?

Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the that of subsets of the second set. The values of m and n respectively are

In a zoo, there are 42 animals in the first sector, 34 in the second sector and 20 in the third sector. Out of these, 24 graze in sector one and sector two, 10 graze in sector two and sector three and 12 graze in sector one and sector three. These figures also include four animals grazing in all the three sectors. Find the total number of animals.

In a survey conducted among 60 managers, it was found that 25 read Business India, 30 read Business World, 24 read Business Today, 10 read Business India and Business World, 9 read Business India and Business Today, and 12 read Business World and Business Today. If 5 read all the three, how many of them read only one publication? (Assume that each of them reads one of the given publications.)

Out of 500 people in a locality, the number of people who buy items A, B and C is given below.

Item A only - 90, item A but not B - 115, items A and C - 40, item A -130, items B and C - 40, item C - 240, none of the three - 120. How many people buy only item B?

Item A only - 90, item A but not B - 115, items A and C - 40, item A - 130, items B and C - 40, item C - 240, none of the three - 120. The frequencies of which of the following are equal?

If A and B be any two sets , then (A∩B) ‘ is equal to

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

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