Q. A survey shows that 40% of people like apples, 30% like bananas, and 10% like both. What percentage of people like either apples or bananas?
A.
60%
B.
70%
C.
50%
D.
80%
Show solution
Solution
Using the principle of inclusion-exclusion, the percentage of people who like either apples or bananas is 40% + 30% - 10% = 60%.
Correct Answer:
A
— 60%
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Q. A survey shows that 70% of people like chocolate, 50% like vanilla, and 20% like both. What percentage of people like either chocolate or vanilla?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either flavor is 70% + 50% - 20% = 100%.
Correct Answer:
C
— 80%
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Q. If 100 people were surveyed and 70 like pizza, 50 like pasta, and 20 like both, how many like neither?
Show solution
Solution
Using inclusion-exclusion, the number of people who like either is 70 + 50 - 20 = 100, so 100 - 100 = 0 like neither.
Correct Answer:
A
— 30
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Q. If 25% of a group like sports, 15% like music, and 5% like both, what percentage like either sports or music?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a group of 200 people are students and 10% of the students are part-time workers, how many part-time workers are there?
Show solution
Solution
The number of part-time workers is 25% of 200 = 50 students, and 10% of 50 = 5 part-time workers.
Correct Answer:
C
— 20
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Q. If 25% of a group of 200 people like hiking, 15% like biking, and 5% like both, what percentage like either activity?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage who like either is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
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Q. If 25% of a population likes apples, 15% likes oranges, and 5% likes both, what percentage likes either apples or oranges?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
Using inclusion-exclusion, the percentage is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
Learn More →
Q. If 25% of a population likes chocolate, 15% likes vanilla, and 5% likes both, what percentage likes either chocolate or vanilla?
A.
35%
B.
30%
C.
25%
D.
20%
Show solution
Solution
The percentage of people who like either chocolate or vanilla is 25% + 15% - 5% = 35%.
Correct Answer:
A
— 35%
Learn More →
Q. If 25% of a population likes reading, 35% likes writing, and 10% likes both, what percentage likes either reading or writing?
A.
50%
B.
60%
C.
70%
D.
80%
Show solution
Solution
Using inclusion-exclusion, the percentage of people who like either activity is 25% + 35% - 10% = 50%.
Correct Answer:
B
— 60%
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Q. If 40 students like Mathematics, 30 like Science, and 10 like both, how many students like only Mathematics?
Show solution
Solution
The number of students who like only Mathematics is 40 - 10 = 30.
Correct Answer:
B
— 20
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Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play either cricket or football?
Show solution
Solution
Using inclusion-exclusion, the total is 40 + 30 - 10 = 60.
Correct Answer:
A
— 60
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Q. If 40 students play cricket, 30 play football, and 10 play both, how many students play only cricket?
Show solution
Solution
The number of students who play only cricket is 40 - 10 = 30.
Correct Answer:
B
— 20
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Q. If 45% of people like tea, 35% like coffee, and 10% like both, what percentage like neither tea nor coffee?
A.
10%
B.
20%
C.
30%
D.
40%
Show solution
Solution
The percentage of people who like either tea or coffee is 45% + 35% - 10% = 70%. Therefore, those who like neither = 100% - 70% = 30%.
Correct Answer:
C
— 30%
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Q. If 45% of people like tea, 35% like coffee, and 15% like both, what percentage of people like neither tea nor coffee?
A.
25%
B.
15%
C.
30%
D.
20%
Show solution
Solution
The percentage of people who like either tea or coffee is 45% + 35% - 15% = 65%. Therefore, those who like neither is 100% - 65% = 35%.
Correct Answer:
A
— 25%
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Q. If 45% of people prefer tea, 35% prefer coffee, and 15% prefer both, what is the percentage of people who prefer only tea?
A.
30%
B.
20%
C.
15%
D.
25%
Show solution
Solution
The percentage of people who prefer only tea is |Tea| - |Both| = 45% - 15% = 30%.
Correct Answer:
A
— 30%
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Q. If 50% of a group like reading, 30% like writing, and 10% like both, what percentage like only reading?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of people who like only reading is 50% - 10% = 40%.
Correct Answer:
A
— 40%
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Q. If 50% of a group of 200 people like apples, 30% like bananas, and 10% like both, what percentage like only apples?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of people who like only apples is 50% - 10% = 40%.
Correct Answer:
A
— 40%
Learn More →
Q. If 50% of a group prefers tea, 30% prefers coffee, and 10% prefers both, what is the percentage that prefers either tea or coffee?
A.
70%
B.
80%
C.
60%
D.
50%
Show solution
Solution
The percentage that prefers either tea or coffee is 50% + 30% - 10% = 70%.
Correct Answer:
A
— 70%
Learn More →
Q. If 50% of students like soccer, 30% like basketball, and 10% like both, what percentage of students like only soccer?
A.
40%
B.
30%
C.
20%
D.
10%
Show solution
Solution
The percentage of students who like only soccer is 50% - 10% = 40%.
Correct Answer:
A
— 40%
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Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in either?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage enrolled in either is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
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Q. If 60% of students in a school are enrolled in sports, 40% in arts, and 10% in both, what percentage are enrolled in only sports?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students enrolled in only sports is 60% - 10% = 50%.
Correct Answer:
A
— 50%
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Q. If 60% of students in a school are girls and 40% of the girls play basketball, what percentage of the total students are girls who play basketball?
A.
24%
B.
30%
C.
40%
D.
60%
Show solution
Solution
If 60% are girls and 40% of them play basketball, then 0.6 * 0.4 = 0.24 or 24% of the total students are girls who play basketball.
Correct Answer:
A
— 24%
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Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage of students like only fiction?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who like only fiction is 60% - 10% = 50%.
Correct Answer:
A
— 50%
Learn More →
Q. If 60% of students like reading fiction, 40% like reading non-fiction, and 10% like both, what percentage like only fiction?
A.
50%
B.
40%
C.
30%
D.
20%
Show solution
Solution
The percentage of students who like only fiction is 60% - 10% = 50%.
Correct Answer:
A
— 50%
Learn More →
Q. If 60% of students like reading, 40% like writing, and 10% like both, what percentage of students like either reading or writing?
A.
90%
B.
80%
C.
70%
D.
60%
Show solution
Solution
Using inclusion-exclusion, the percentage is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
Learn More →
Q. If 60% of students play cricket, 40% play football, and 10% play both, what is the percentage of students who play either cricket or football?
A.
90%
B.
100%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 60% + 40% - 10% = 90%.
Correct Answer:
A
— 90%
Learn More →
Q. If 70% of students in a school play cricket, 50% play football, and 20% play both, what percentage of students play either cricket or football?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either cricket or football is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
Learn More →
Q. If 70% of students in a school play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
Learn More →
Q. If 70% of students play football, 50% play basketball, and 20% play both, what percentage of students play either football or basketball?
A.
100%
B.
90%
C.
80%
D.
70%
Show solution
Solution
Using inclusion-exclusion, the percentage of students who play either sport is 70% + 50% - 20% = 100%.
Correct Answer:
B
— 90%
Learn More →
Q. If 80% of a group like sports, 50% like music, and 30% like both, what percentage like only sports?
A.
50%
B.
30%
C.
20%
D.
80%
Show solution
Solution
The percentage of people who like only sports is 80% - 30% = 50%.
Correct Answer:
A
— 50%
Learn More →
Showing 1 to 30 of 77 (3 Pages)
Venn Diagram Sets MCQ & Objective Questions
Venn Diagram Sets are essential tools in mathematics that help students visualize relationships between different sets. Understanding these concepts is crucial for scoring well in exams. Practicing MCQs and objective questions on Venn Diagram Sets not only enhances your grasp of the topic but also boosts your confidence during exam preparation. By solving practice questions, you can identify important questions that frequently appear in assessments.
What You Will Practise Here
Understanding the basics of sets and Venn diagrams
Identifying union, intersection, and difference of sets
Solving problems involving two or three sets
Interpreting Venn diagrams to answer objective questions
Applying set theory concepts in real-life scenarios
Learning key formulas related to Venn Diagram Sets
Exploring common applications in various subjects
Exam Relevance
Venn Diagram Sets are frequently included in the curriculum of CBSE, State Boards, and competitive exams like NEET and JEE. Students can expect questions that require them to analyze Venn diagrams, calculate the number of elements in specific regions, or solve problems involving set operations. Common question patterns include multiple-choice questions that test conceptual understanding and application of Venn diagrams in different contexts.
Common Mistakes Students Make
Confusing the concepts of union and intersection
Misinterpreting the information presented in Venn diagrams
Overlooking the importance of proper set notation
Failing to account for all possible scenarios in multi-set problems
FAQs
Question: What are Venn Diagram Sets? Answer: Venn Diagram Sets are visual representations that show the relationships between different sets, helping to illustrate concepts like union, intersection, and difference.
Question: How can I improve my understanding of Venn Diagram Sets? Answer: Regular practice of Venn Diagram Sets MCQ questions and solving objective questions with answers can significantly enhance your understanding and retention of the topic.
Don't miss out on the opportunity to solidify your knowledge! Start solving Venn Diagram Sets practice MCQs today and test your understanding to excel in your exams.
