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CA Foundation Seating Arrangements — practice questions — page 2

Explore 63 free Seating Arrangements questions in CA Foundation Quantitative Aptitude. Open each question or exercise to read its content, reference answers and available explanation.

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Seating Arrangements questions and exercises with answers

Showing questions 31–60 of 63.

Three boys and two girls queue and the three boys stay together as one group. How many queues?Read the answer and worked solution →A queue has 4 boys and 3 girls with every girl standing in one unbroken block. Count the queues.Read the answer and worked solution →Five runners are lined up and the champion must occupy the first slot. In how many ways can the line form?Read the answer and worked solution →For a team photo of six, the captain is placed at the left end and the coach at the right end. Arrangements?Read the answer and worked solution →Of five people in a row, the two umpires occupy the end positions in either order. Count the lines.Read the answer and worked solution →Among six people in a row, A and B take the extreme seats, with either order allowed. Count the rows.Read the answer and worked solution →Six pupils form a row and the monitor must be third from the left. How many rows?Read the answer and worked solution →Six people sit in a circle with A and B facing each other directly across. How many seatings?Read the answer and worked solution →A jeweller strings 6 different flowers into a garland that can be turned or flipped. How many designs?Read the answer and worked solution →A craftsman makes a bracelet from 7 different gems, turns and flips being equal. How many designs?Read the answer and worked solution →A bracelet of 4 different charms can be turned or flipped. How many distinct bracelets are there?Read the answer and worked solution →Find the number of distinct letter orders of the word LEVEL.Read the answer and worked solution →How many distinct words of four letters can be made by rearranging BOOK?Read the answer and worked solution →How many distinct anagrams does the word MISSISSIPPI have?Read the answer and worked solution →3 identical red flags and 2 identical blue flags are hung in a line. How many different patterns are there?Read the answer and worked solution →5 men and 3 women take 8 chairs in a row, with no restriction. How many seatings?Read the answer and worked solution →A panel of 3 is picked from 8 people, order ignored. How many panels are possible?Read the answer and worked solution →4 of 7 waiting people take the 4 seats of a bench, order mattering. How many seatings?Read the answer and worked solution →In how many ways can 4 people be chosen from 7 if their seating order is ignored?Read the answer and worked solution →From 7 candidates, 5 are picked and set around a circular five-seat desk. How many ways?Read the answer and worked solution →Five married couples are seated in a ring where each husband and wife are neighbours. Count the rings.Read the answer and worked solution →Four couples queue for tickets with each couple staying together. How many queues?Read the answer and worked solution →Three couples form a circle for a dance, each couple being neighbours. How many circles?Read the answer and worked solution →Seven people stand in a row with three named persons always together. How many arrangements?Read the answer and worked solution →Five people queue and A must be ahead of B somewhere. How many queues?Read the answer and worked solution →Six people queue and A must stand somewhere ahead of B. How many queues are possible?Read the answer and worked solution →Eight students share a long bench and two named students must not be side by side. How many ways?Read the answer and worked solution →Circular arrangements of n distinct people with rotations alike number which expression?Read the answer and worked solution →Which pairs of arrangements count as the same for beads on a bracelet?Read the answer and worked solution →Which feature makes a permutation differ from a combination?Read the answer and worked solution →

Worked practice questions

Three boys and two girls queue and the three boys stay together as one group. How many queues?

  1. 12
  2. 72
  3. 36
  4. 120
Show answer and solution

Correct answer: C. 36

The boys' block and 2 girls make 3 units (3! = 6), and the boys order themselves 3! = 6 ways, giving 36.

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A queue has 4 boys and 3 girls with every girl standing in one unbroken block. Count the queues.

  1. 5040
  2. 144
  3. 240
  4. 720
Show answer and solution

Correct answer: D. 720

The girls' block plus 4 boys is 5 units (5! = 120) and the girls can order 3! = 6 ways, so 720.

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Five runners are lined up and the champion must occupy the first slot. In how many ways can the line form?

  1. 24
  2. 120
  3. 12
  4. 48
Show answer and solution

Correct answer: A. 24

With A fixed, the other 4 people fill 4 seats in 4! = 24 ways.

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More Quantitative Aptitude topics

Quantitative MethodsTime Value of MoneyCorrelation and RegressionRatio and Proportion, Indices and LogarithmsSets, Relations and FunctionsMeasures of Central Tendency and DispersionStatistical Representation of Data and SamplingSequence and Series