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# CAT Logical Reasoning Quiz

The quiz consists of question from venn diagram and sets. These are the most scoring topics of the CAT 2019 Exam. Aspirants can easily solve these questions and utilize the time saved on other questions. The quiz consists of 35 questions of medium difficulty.

### Sets and Venn Diagram

200 students in a school are randomly selected. 120 students like coffee, 140 like tea and 80 like both tea and coffee. Answer question 1 to 5.

1. How many students like just tea?

60
50
20
10

2. How many students like just coffee?

40
50
20
10

3. How many students like neither coffee nor tea?

40
50
20
10

4. Number of students who like only tea or coffee?

100
70
80
180

5. Number of students who like either tea or coffee?

100
70
80
180

A, B and C represent individuals who like Apples , Bananas and Carrots respectively where:

 A 10 B 12 C 16 Individuals who like Apple, Banana & Carrot 3 Individuals who like Apple & Banana 2 Individuals who like Apple & Carrot 3 Individuals who like Banana & Carrot 4

Answer questions 6-7 on the basis of the information provided.

6. How many individuals like apples only?

2
3
4
7

7. How many individuals like only one of three fruits?

33
26
22
8

8. Which Venn Diagrams represents the relationship between animal, dogs and horses?

A
B
C
D

9. According to the given diagram How many people like both wine & tea?

17
15
32
23

10.

 Cricket Lovers A 1300 Badminton Lovers B 500 Tennis Lovers C 100 Cricket & Badminton Lovers AB 9 Badminton & Tennis Lovers AC 13 People who like all three sports ABC 2

How many people like only one game?

1299
1300
1264
1258

11. Which Venn Diagrams represents the relationship between earth, moon and planets?

A
B
C
D

12. All factors of n is given by set Fn while all multiples of n less than 1000 is given by set Mn. Which statements is/are true?

a. F108 ∩ F84 = F12

b. M12 ∪ M18 = M36

c. M12 ∩ M18 = M36

d. M12 ⊂ (M6 ∩ M4)

a,b and c only
a,c and d only
a and c only
All the statements are true

13. A´ is the complement of A, i.e set of all elements that are part of the universal set but not in A. How many statements given below are true?

i. n(A ∪ B)' = n(A' ∩ B')

ii. If A ∩ B=0}, then A' ∪ B'} is equal to the universal set

iii. If A ∪ B = universal set, then A' ∩ B' should be the null set.

iv. If A ⊂ B then A' ∪ B'=(A ∩ B)'

i
ii
iii
iv

14. There are 60 students in a class. Anyone who has chosen to study maths also studies physics. No one does maths and chemistry, 16 do chemistry and physics. All the students do at least one of the three subjects and the people studying exactly one of the three is more than the number who study more than one of the three. What is the maximum and minimum number of people who study Chemistry only?

40,0
44,0
48,0
50,0

Answer questions 15- 18 on the basis of the given information.

There are a total of 170 students in a coaching institute and they studied Economics, Mathematics and English. The ratio of students studying all 3 subjects to students studying not more than 2 subjects is 2:9. The ratio of students studying only one subject to students studying not more than 2 subjects is 8:9. Number of Mathematics students exceeds the number of Economics students by 14. Number of English students exceeds the number of Economics students by 12. 90, 93, 97 students are studying English, Economics and Mathematics respectively.

15. How many Students are studying all three subjects?

20
24
16
18

16. How many students are studying no more than one subject?

60
80
76
84

17. How many students are studying exactly two subjects?

66
74
70
80

18.How many students are studying both Economics and Maths but not English?

40
35
45
50

Answer questions 19- 21 on the basis of the given information.

In a class of 100 students, 50 like to sing, 60 like to dance and 25 students like to do both.

19. How many students don't like to sing nor like to dance?

50
45
30
35

20. How many students only like to dance?

9
12
15
22

21. How many students either sing or dance?

65
60
55
70

Answer questions 22- 24 on the basis of the given information.

Out of 120 employees working in a company, 50 are women. Also:

• 56 are married workers
• 40 workers are married and graduate out of which 18 are men
• 30 are married men

22. How many graduates are unmarried women?

0
3
5
2

23. How many men are graduate and married?

16
18
17
20

24. How many graduates are married women?

19
20
22
24

25. Which of the following represents relations between Travelers, Train and Bus?

A
B
C
D

1A
2A
3C
4A
5D
6A
7B
8A
9C
10C
11B
12B
13D
14B
15A
16B
17C
18A
19D
20C
21A
22A
23B
24D
25C

×

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