If three sets are represented by overlapping circles, the central common area represents:

Members common to all three sets

Easy Free Reasoning Venn Diagram

Reasoning - Venn Diagram

Set relationships, overlaps, common members and inclusion-exclusion reasoning.

24 Questions

30 min Duration

40% To pass

1.00 Marks / correct

Instructions

This quiz has 24 questions.
You have 30 minutes. The quiz submits automatically when time runs out.
You need 40% to pass.
There is no negative marking.
You can mark questions for review and return to them before submitting.
Correct answers and explanations are shown after you submit.

Sample Questions & Answers

A preview of 12 questions from this quiz, each with the correct answer and a written explanation. Attempt the full, timed quiz to be scored and earn XP.

Question 1
In a class, 20 students like tea, 15 like coffee, and 5 like both. How many like at least one?
- 35
- 40
- 25
- 30 Correct answer
Explanation: The correct answer is 30. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 2
In a group, 40 like cricket, 30 like football, and 10 like both. How many like only cricket?
- 30 Correct answer
- 10
- 40
- 20
Explanation: The correct answer is 30. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 3
A set A has 25 members and set B has 15, with 5 common. How many are in A only?
- 20 Correct answer
- 15
- 10
- 25
Explanation: The correct answer is 20. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 4
A group has 50 people. 30 like tea, 20 like coffee, and 8 like both. How many like neither?
- 12
- 8 Correct answer
- 10
- 6
Explanation: The correct answer is 8. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 5
If all doctors are graduates, the set of doctors is a:
- Complement of graduates
- Superset of graduates
- Disjoint set
- Subset of graduates Correct answer
Explanation: The correct answer is Subset of graduates. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 6
If no cats are dogs, the sets cats and dogs are:
- Overlapping
- Disjoint Correct answer
- Identical
- Equal
Explanation: The correct answer is Disjoint. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 7
If some students are athletes, the two sets:
- Must be identical
- Must be disjoint
- Overlap Correct answer
- Cannot both exist
Explanation: The correct answer is Overlap. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 8
A=30, B=20, A∩B=5. What is A∪B?
- 25
- 50
- 45 Correct answer
- 40
Explanation: The correct answer is 45. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 9
If 15 students like Maths, 12 like Science, and 4 like both, how many like Maths only?
- 12
- 8
- 15
- 11 Correct answer
Explanation: The correct answer is 11. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 10
If 25 people like A, 18 like B, and 7 like both, how many like only B?
- 18
- 7
- 11 Correct answer
- 25
Explanation: The correct answer is 11. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 11
If three sets are represented by overlapping circles, the central common area represents:
- Only the second set
- Only the first set
- Members of no set
- Members common to all three sets Correct answer
Explanation: The correct answer is Members common to all three sets. The result follows directly from the stated venn diagram relationship, pattern or calculation.
Question 12
If A is entirely inside B, what relation holds?
- A is a subset of B Correct answer
- A equals the complement of B
- A and B are disjoint
- B is a subset of A
Explanation: The correct answer is A is a subset of B. The result follows directly from the stated venn diagram relationship, pattern or calculation.