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.
MAT Dice And Cubes — practice questions
Explore 27 free Dice And Cubes questions in MAT Reasoning. Open each question or exercise to read its content, reference answers and available explanation.
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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.
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