allerySet A has 30 members, set B has 25 and the whole group has 40. What is the least possible overlap?
- 0
- 10
- 5
- 15
Show answer and solution
Correct answer: D. 15
The union cannot exceed 40, so the overlap is at least 30 + 25 - 40 = 15.
RRB NTPC Venn Diagrams — practice questions — page 2
Explore 59 free Venn Diagrams questions in RRB NTPC Reasoning. Open each question or exercise to read its content, reference answers and available explanation.
Practise Venn Diagrams with Quill →Venn Diagrams questions and exercises with answers
Showing questions 31–59 of 59.
Set A has 30 members, set B has 25 and the whole group has 40. What is the least possible overlap?Read the answer and worked solution →If 45 people like tea and 18 of them also like coffee, how many like tea but not coffee?Read the answer and worked solution →Those in only one of two sets number 24 and those in both number 8. How many belong to the union?Read the answer and worked solution →Let A = {a, b, c, d} and B = {c, d, e}. How many elements are in the intersection of A and B?Read the answer and worked solution →If P = {1, 2, 3, 4, 5} and Q = {4, 5, 6, 7}, how many elements lie in P but not in Q?Read the answer and worked solution →Which set of classes fits one circle nested in a second and the second nested in a third?Read the answer and worked solution →Which set of classes fits three completely separate circles with nothing shared?Read the answer and worked solution →A group of 100 has 60 who swim, 45 who cycle and 15 who do neither. How many do both?Read the answer and worked solution →In a school of 400, 250 take art, 180 take music and 60 take both. How many take only music?Read the answer and worked solution →In a two-legged and flying creatures chart, where would a mosquito be placed?Read the answer and worked solution →A circle for wooden objects overlaps a circle for tables. What does the overlap show?Read the answer and worked solution →The curves in a Venn chart are overlapped in every possible way. What do they show?Read the answer and worked solution →Which chart shows only the zones that are actually possible in a given context?Read the answer and worked solution →In a Venn chart, what does the exterior of a set's circle represent?Read the answer and worked solution →A Venn chart whose shape areas are proportional to element counts is called what?Read the answer and worked solution →Set A has 30 members and set B has 20, with 8 common to both. How many are in A or B?Read the answer and worked solution →Two clubs together have 50 members. Club A has 32, club B has 28. How many are in both?Read the answer and worked solution →Of 100 people, 70 drink tea, 45 drink coffee and all drink at least one. How many drink both?Read the answer and worked solution →Sets A, B, C have 20, 15, 10 members. A∩B has 5, B∩C has 3, A∩C has 4, A∩B∩C has 2. Find |A∪B∪C|.Read the answer and worked solution →How many zones inside the circles does a three-set Venn chart have, excluding the outside?Read the answer and worked solution →How many zones, including the outside, does a Venn chart for four sets have?Read the answer and worked solution →Of 80 people, 50 read English, 40 read Hindi and 15 read neither. How many read both?Read the answer and worked solution →Set A has 15 members and lies wholly inside set B, which has 25. How many are in A or B?Read the answer and worked solution →Union of A and B has 90 members, A∩B has 20 and A has 60. How many members does B have?Read the answer and worked solution →How many integers from 1 to 100 are divisible by 2 or by 5?Read the answer and worked solution →Set A has 48 members and 18 of them are also in B. How many are in A but not in B?Read the answer and worked solution →Venn showed that a three-set chart could test which kind of argument?Read the answer and worked solution →What mathematical term denotes the combined area containing elements of either set?Read the answer and worked solution →What standard mathematical term denotes the region where two overlapping sets share common members?Read the answer and worked solution →
Worked practice questions
If 45 people like tea and 18 of them also like coffee, how many like tea but not coffee?
- 33
- 18
- 27
- 63
Show answer and solution
Correct answer: C. 27
Tea-only people are in the tea circle but outside the overlap: 45 - 18 = 27.
Those in only one of two sets number 24 and those in both number 8. How many belong to the union?
- 16
- 32
- 40
- 28
Show answer and solution
Correct answer: B. 32
The union is the sum of the exclusive parts and the overlap: 24 + 8 = 32.
How to practise
- Choose a Venn Diagrams question and try to work out your answer.
- Open the question to check the correct answer and read its worked solution.
- Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.
Put it into practice
Continue with Venn Diagrams practice for RRB NTPC. Read explanations as you go. No signup form needed to start.
Practise Venn Diagrams →