alleryStart learning →In how many distinct ways can 6 people be seated around a circular table?
- $120$
- $720$
- $60$
- $24$
Show answer and solution
Correct answer: A. $120$
Circular arrangements of n people = (n − 1)!. For n = 6: 5! = 120.
NMAT Sets and Venn Diagrams — practice questions
Explore 27 free Sets and Venn Diagrams questions in NMAT Reasoning. Open each question or exercise to read its content, reference answers and available explanation.
Practise Sets and Venn Diagrams with Quill →Sets and Venn Diagrams questions and exercises with answers
Showing questions 1–27 of 27.
In how many distinct ways can 6 people be seated around a circular table?Read the answer and worked solution →In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many like neither?Read the answer and worked solution →A says: 'B is my father's only daughter.' Who is B to A?Read the answer and worked solution →If 'All cats are mammals' and 'All mammals are warm-blooded', then logically:Read the answer and worked solution →A walker goes 3 km North, then 4 km East. His distance from the start is:Read the answer and worked solution →A 3 × 3 × 3 cube is painted on all sides and then cut into 27 unit cubes. How many small cubes have EXACTLY 2 painted faces?Read the answer and worked solution →In a school cricket league, A beat B, B beat C, and C beat D. Which is true?Read the answer and worked solution →Match each proposition form to its letterRead the answer and worked solution →Universal or particular? Affirmative or negative?Read the answer and worked solution →Affirmative or negative?Read the answer and worked solution →Naming the formRead the answer and worked solution →True or false: what conversion allowsRead the answer and worked solution →Tap every inference that is actually validRead the answer and worked solution →Complete the four formsRead the answer and worked solution →True or false: what a universal claim coversRead the answer and worked solution →Deduction or induction?Read the answer and worked solution →Order the steps: test a syllogismRead the answer and worked solution →True or false: reasoning from two premisesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Flip and pair: letter with statementRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Deduction against inductionRead the answer and worked solution →Tap every statement that follows from 'All cats are animals'Read the answer and worked solution →Complete the conversion ruleRead the answer and worked solution →Which reversal is safe?Read the answer and worked solution →
Worked practice questions
In a survey of 100 people, 60 like tea, 50 like coffee, and 30 like both. How many like neither?
- $10$
- $30$
- $20$
- $40$
Show answer and solution
Correct answer: C. $20$
|tea ∪ coffee| = 60 + 50 − 30 = 80. Neither = 100 − 80 = 20.
A says: 'B is my father's only daughter.' Who is B to A?
- A's mother is the reference
- A's sister is the reference person
- A's grandmother by marriage
- A's first cousin from her father side
Show answer and solution
Correct answer: B. A's sister is the reference person
'My father's only daughter' = the speaker (if A is a girl) or A's sister (if A is a boy).
B is the speaker's sister, or A herself if A is female.
How to practise
- Choose a Sets and 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.