Introduction
Logical Venn Diagrams, the primary point is to test the capacity of a candidate about the relation between a few things of a gathering by diagrams. In these questions, some figures of circles and some words are given. The candidate is required to pick a figure which speaks to the given words.
The article Venn Diagrams Practice Quiz 3 provides information about Venn Diagrams. The Reasoning Ability section primarily has questions with solutions are mentioned below Venn Diagrams Practice Quiz 3 sets and also useful for candidates preparing for different competitive examinations like RRB, RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC CGL, SSC CHSL, IBPS, SBI PO, SBI Clerks, CAT, etc.,.
The article Venn Diagrams Practice Quiz 3 provides information about Venn Diagrams. The Reasoning Ability section primarily has questions with solutions are mentioned below Venn Diagrams Practice Quiz 3 sets and also useful for candidates preparing for different competitive examinations like RRB, RRB ALP/Technical Exams/Junior Engineer Recruitment Exams, SSC CGL, SSC CHSL, IBPS, SBI PO, SBI Clerks, CAT, etc.,.
Quiz
Directions (Q1 - Q5): Study the following figure and answer the questions given below.
Q1. How many doctors are neither artists nor players ?
Answer - Option A
Explanation - The number of doctors who are neither artists nor players is 17.
Q2. How many doctors are both players and artists ?
Answer - Option C
Explanation - The number of doctors who are both players and artists is 3.
Q3. How many artists are players ?
Answer - Option C
Explanation - The number of artists who are players is 22 + 3 = 25.
Q4. How many players are neither artists nor doctors ?
Answer - Option A
Explanation - The number of players who are neither artists nor doctors is 25.
Q5. How many artists are neither players nor doctors ?
Answer - Option C
Explanation - The number of artists who are neither players nor doctors is 30.
Q1. How many doctors are neither artists nor players ?
- A. 17
B. 5
C. 10
D. 30
E. None of these
Answer - Option A
Explanation - The number of doctors who are neither artists nor players is 17.
Q2. How many doctors are both players and artists ?
- A. 22
B. 8
C. 3
D. 30
E. None of these
Answer - Option C
Explanation - The number of doctors who are both players and artists is 3.
Q3. How many artists are players ?
- A. 5
B. 5
C. 25
D. 16
E. None of these
Answer - Option C
Explanation - The number of artists who are players is 22 + 3 = 25.
Q4. How many players are neither artists nor doctors ?
- A. 25
B. 17
C. 5
D. 10
E. None of these
Answer - Option A
Explanation - The number of players who are neither artists nor doctors is 25.
Q5. How many artists are neither players nor doctors ?
- A. 10
B. 17
C. 30
D. 15
E. None of these
Answer - Option C
Explanation - The number of artists who are neither players nor doctors is 30.
Directions (Q1 - Q4): Study the following figure and answer the questions given below.
Q1. How many educated people are employed ?
Answer - Option A
Explanation - Number of educated people who are employed = 3 + 6 = 9.
Q2. How many backward people are educated ?
Answer - Option C
Explanation - Number of backward people are who are educated = 11 + 3 = 14.
Q3. How many backward uneducated people are employed ?
Answer - Option B
Explanation - Number of backward uneducated people who are employed is 5.
Q4. How many backward people are not educated ?
Answer - Option C
Explanation - Number of backward people who are not educated = 17 + 5 = 22.
Q5. In a group of persons travelling 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 ?
Answer - Option C
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 person who an speak all the languages = 1
Total number of persons = 23.
Q1. How many educated people are employed ?
- A. 9
B. 18
C. 20
D. 15
E. None of these
Answer - Option A
Explanation - Number of educated people who are employed = 3 + 6 = 9.
Q2. How many backward people are educated ?
- A. 9
B. 28
C. 14
D. 6
E. None of these
Answer - Option C
Explanation - Number of backward people are who are educated = 11 + 3 = 14.
Q3. How many backward uneducated people are employed ?
- A. 14
B. 5
C. 11
D. 7
E. None of these
Answer - Option B
Explanation - Number of backward uneducated people who are employed is 5.
Q4. How many backward people are not educated ?
- A. 3
B. 14
C. 22
D. 25
E. None of these
Answer - Option C
Explanation - Number of backward people who are not educated = 17 + 5 = 22.
Q5. In a group of persons travelling 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
E. None of these
Answer - Option C
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 person who an speak all the languages = 1
Total number of persons = 23.
Q1. How many numbers are there between 1 and 100 that are not divisible by 2, 3 and 5 ?
Answer - Option D
Explanation -
We can solve this question by drawing a Venn diagram.
From the above diagram it is clear that (27 + 14 +7 + 7 + 13 + 3 + 3 = 76 ) 76 numbers are divisible by either 2,3 or 5.
So 100 - 76 = 24 numbers are not divisible by 2,3 or 5.
Q2. In a class,7 students like to play Basketball and 8 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
Answer - Option C
Explanation -
Draw a Venn Diagram yourself !
B + C - BC = Number of students that play either Basketball or Cricket
7 +8 - 3 = 12
Directions (Q3 - Q4): A college has 63 students studying Political Science, Chemistry and Botany. 33 students study Political Science, 25 Chemistry and 26 Botany. 10 study Political Science and Chemistry, 9 study Botany and Chemistry while 8 study both Political Science and Botany. Same number of students study all three subjects as those who learn none of the three.
Q3. How many students study all the three subjects?
Answer - Option B
Explanation -
From the above diagram you can clearly see that 3 students study all three subjects.
Q4. How many students study only one of the three subjects?
Answer - Option C
Explanation -
Number of students who study only one subject = 18 + 9 +12 = 39
Q5. In a college, 200 students are randomly selected. 140 like tea, 120 like coffee and 80 like both tea and coffee.
Answer - Option D
Explanation -
The given information may be represented by the following Venn diagram, where T = tea and C = coffee.
Number of students who like only tea = 60
Number of students who like only coffee = 40
Number of students who like neither tea nor coffee = 20
Number of students who like only one of tea or coffee = 60 + 40 = 100
Number of students who like at least one of tea or coffee = n (only Tea) + n (only coffee) + n (both Tea & coffee) = 60 + 40 + 80 = 180
- A. 21
B. 22
C. 20
D. 24
E. None of these
Answer - Option D
Explanation -
We can solve this question by drawing a Venn diagram.
From the above diagram it is clear that (27 + 14 +7 + 7 + 13 + 3 + 3 = 76 ) 76 numbers are divisible by either 2,3 or 5.
So 100 - 76 = 24 numbers are not divisible by 2,3 or 5.
Q2. In a class,7 students like to play Basketball and 8 like to play Cricket. 3 students like to play on both Basketball and Cricket. How many students like to play Basketball or Cricket or both?
- A. 10
B. 9
C. 12
D. 11
E. None of these
Answer - Option C
Explanation -
Draw a Venn Diagram yourself !
B + C - BC = Number of students that play either Basketball or Cricket
7 +8 - 3 = 12
Directions (Q3 - Q4): A college has 63 students studying Political Science, Chemistry and Botany. 33 students study Political Science, 25 Chemistry and 26 Botany. 10 study Political Science and Chemistry, 9 study Botany and Chemistry while 8 study both Political Science and Botany. Same number of students study all three subjects as those who learn none of the three.
Q3. How many students study all the three subjects?
- A. 2
B. 3
C. 5
D. 7
E. None of these
Answer - Option B
Explanation -
From the above diagram you can clearly see that 3 students study all three subjects.
Q4. How many students study only one of the three subjects?
- A. 21
B. 30
C. 39
D. 42
E. None of these
Answer - Option C
Explanation -
Number of students who study only one subject = 18 + 9 +12 = 39
Q5. In a college, 200 students are randomly selected. 140 like tea, 120 like coffee and 80 like both tea and coffee.
- How many students like only tea?
- How many students like only coffee?
- How many students like neither tea nor coffee?
- How many students like only one of tea or coffee?
- How many students like at least one of the beverages?
- A. 150
B. 160
C. 170
D. 180
E. None of these
Answer - Option D
Explanation -
The given information may be represented by the following Venn diagram, where T = tea and C = coffee.