In a school 150 students passed X standard Examination. 95 students applied for Group I and 82 students applied for Group II in the Higher Secondary course. If 20 students applied neither of the two, how many students applied for both groups?

Place the elements of the following sets in the proper location on the given Venn diagram.

U = {5, 6, 7, 8, 9, 10, 11, 12, 13}

M = {5, 8, 10, 11},

N = {5, 6, 7, 9, 10}

The shaded region in the adjoint diagram represents

The shaded region in the adjoining diagram represents

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).

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 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.

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.

In a school 150 students passed X standard Examination. 95 students applied for Group I and 82 students applied for Group II in the Higher Secondary course. If 20 students applied neither of the two, how many students applied for both groups?

In a group of 30 persons, 10 take tea but not coffee 18 take tea. Find how many take coffee but not tea, if each person takes atleast one of the drinks.

In a village there are 60 families. Out of these 28 families speak only Tamil and 20 families speak only Urdu. How many families speak both Tamil and Urdu.