The following table shows the percentage of the students of a school who participated in Elocution and Drawing competitions.

Draw a Venn diagram to represent this information and use it to find the percentage of the students who

i. participated in Elocution only

ii. participated in Drawing only

iii. did not participate in any one of the competitions.

Pradeep is a Section Chief for an electric utility company. The employees in his section cut down tall trees or climb polies recently reported the following information to the management of the utility.

Out of 100 employees in my section, 55 can cut tall trees,50 can climb poles, 11 can do both, 6 can’t do any of the two. Is this information correct?

A and B are two sets such that n(A – B) = 32 + x, n (B – A) = 5x and n(A B) = x Illustrate the information by means of a Venn diagram. Given that n(A) = n(B). Calculate (i) the value of x (ii) n(A B).

A village has total population of 2500 people. Out of which 1300 people use brand A soap and 1050 people use brand B soap and 250 people use both brands. Find the percentage of population who use neither of these soaps.

If A = {5, {5, 6}, 7}, which of the following is correct?