Q1. Which of the following Venn- diagram correctly illustrates the relationship among the classes:

*Tennis fans, Cricket players, Students*

a, 1

b. 2

c. 3

d. 4

### Answer

**(a) 1**

Explanation:

Some *Students *can be *Cricket players*. Some *Cricket players *can be *Tennis fans*. Some *Students *can be *Tennis fans*. So, the given items are partly related to each other.

Q2. Which of the following Venn- diagram correctly illustrates the relationship among the classes:

C*arrot, Food, Vegetables*

a. a

b. b

c. c

d. d

### Answer

**(a) a**

Explanation:

All *Carrots* are *Vegetables*. All *Vegetables* are *Foods*.

Q3. In a dinner party, both fish and meat were served. Some took only fish and some only meat. There were some vegetarians who did not accept either. The rest accepted both fish and meat. Which of the following Venn-diagrams correctly reflects this situation?

a. 1

b. 2

c. 3

d. 4

e. 5

### Answer

**(a) 1**

Explanation:

The Given situation can be represented as under:

Q4. In a group of persons traveling in a bus, 6 persons can speak Tamil, 15 can speak Hindi and 6 can speak Gujarati. In that group, none can speak any other language. If 2 persons in the group can speak two languages and one person can speak all the three languages, then how many persons are there in the group?

a. 21

b. 22

c. 23

d. 24

### Answer

**(c) 23**

Explanation:

Let us assume the two persons who can speak two languages speak Hindi and Tamil. The third person then speaks all the three languages.

Tamil – Number of persons who can speak is 6. Only Tamil 6 – 2 – 1 = 3

Hindi – Number of persons who can speak is 15. Only Hindi 15 – 2 – 1 12

Gujarati – Number of persons who can speak is 6. Only Gujarati 6 – 1 = 5

Thus the number of persons who can speak only one language is 3 + 12 + 5 = 20

Number of persons who can speak two languages = 2

Number of people who can speak all the languages = 1

The total number of persons = 23.

Q5. In a town of 500 people, 285 read Hindu and 212 read Indian Express and 127 read Times of India, 20 read Hindu and Times of India and 29 read Hindu and Indian Express and 35 read Times of India and Indian express. 50 read no newspaper. Then how many read only one paper?

a. 123

b. 231

c. 312

d. 321

### Answer

**(d) 321**

Explanation:

No. of people who read Hindu = 285 No. of people who read TOI = 127 No. of people who read IE = 212 Now, No. of people who read Hindu and TOI both is = 20 No. of people who read TOI and IE both is = 35 No. of people who read Hindu and IE both is = 29 Let No. of people who read Hindu , TOI and IE all is = x ; So, only Hindu is = 285-20-29-x = 236-x ; Only TOI is = 127-20-35-x = 72-x ; Only IE is = 212-35-29-x = 148-x ; Now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500 So, x = 45 this is the value who read all the 3 dailies. So, No. of people who read only one paper is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.

Q6. Select from four alternative diagrams, the one that best illustrates the relationship among the three classes:

*P**igeons, Birds, Dogs*

a. 1

b. 2

c. 3

d. 4

### Answer

**(a) 1**

Explanation:

All *Pigeons* are *Birds*. But,* Dogs* are entirely different.

Q7. Select from the five alternative diagrams, the one that best illustrates the relationship among the three classes:

*Truck, Ship, Goods*

a. 1

b. 2

c. 3

d. 4

e. 5

### Answer

**(c) 3**

Explanation:

*Truck *and *Ship *are entirely different. But some *Goods *are carried by some *Trucks *and some *Goods *are carried by some *Ships.*

Q8. Out of 120 students in a school, 5% can play all the three games Cricket, Chess and Carroms. If so happens that the number of players who can play any and only two games is 30. The number of students who can play the Cricket alone is 40. What is the total number of those who can play Chess alone or Carroms alone?

a. 45

b. 44

c. 46

d. 24

### Answer

**(b) 44**

Explanation:

Given U=120

5% of 120 = 6

Therefore, Students who can play Chess alone or Carroms alone = 120 – (30+40+6)= 44