Free Seating Arrangements MCQs with Answers
21 Seating Arrangements MCQs from Analytical and Logical Reasoning, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Seating arrangement problems place people or objects in a line, circle, row or multiple rows according to positional clues. They require handling adjacency, left and right, facing directions, opposite seats, fixed positions and relative order, with circular arrangements differing because rotation does not create a new arrangement.
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Read the Seating Arrangements notesFree MDCAT chapter notes with key terms21 questions · page 1 of 2
- A. A
- B. B
- C. D
- D. E
Explanation: Building the row from C gives C, B, A, D, and since five people must be seated, E takes the only remaining place at the far end.
Correct answer: E- A. B
- B. A
- C. D
- D. C
Explanation: With five seats the middle is the third position, which A occupies. Counting positions from the left rather than guessing by eye avoids…
Correct answer: A- A. P
- B. Q
- C. R
- D. cannot be determined without more information
Explanation: Only three of the six positions are fixed by the clues, so the seats around S could be filled by any of the remaining people.
Correct answer: cannot be determined without more information- A. two
- B. three
- C. four
- D. five
Explanation: Opposite seats in a circle of eight are four places apart, so the three seats on each arc lie between them.
Correct answer: three- A. on A's right hand side
- B. on A's left hand side
- C. directly opposite A
- D. impossible to place
Explanation: When people face the centre, right and left are described from each person's own perspective, so immediate right means B is on A's right…
Correct answer: on A's right hand side- A. at W's own extreme right, because facing south reverses left and right
- B. at W's own extreme left
- C. in the middle
- D. cannot be determined
Explanation: A person facing south has east on their left and west on their right, which is the mirror image of the reader's view of a north facing…
Correct answer: at W's own extreme right, because facing south reverses left and right- A. six
- B. seven
- C. eight
- D. nine
Explanation: Adding the two positions and subtracting one for the double count gives 4 plus 3 minus 1, which is 6.
Correct answer: six- A. physics
- B. chemistry
- C. biology
- D. cannot be determined
Explanation: The order from top downwards runs physics, chemistry, biology, so biology sits lowest of the three named.
Correct answer: biology- A. sits in the second row directly opposite A
- B. sits beside A
- C. sits in the first row
- D. cannot be seated
Explanation: In a facing arrangement each person in one row looks directly at exactly one person in the other, so facing means directly opposite.
Correct answer: sits in the second row directly opposite A- A. seat 4
- B. seat 5
- C. seat 6
- D. seat 3
Explanation: Three seats to the right of seat 2 means 2 plus 3, which is seat 5. Counting the starting seat as one of the three is the common slip and…
Correct answer: seat 5- A. none
- B. two
- C. four
- D. eight
Explanation: With two people on each side, both occupy positions along the side rather than at the corners themselves, so no one sits at a corner.
Correct answer: none- A. two
- B. three
- C. four
- D. five
Explanation: Excluding the two end seats leaves the three middle positions, seats 2, 3 and 4.
Correct answer: three- A. three
- B. six
- C. nine
- D. twelve
Explanation: The number of arrangements of three distinct people is 3 factorial, that is 3 multiplied by 2 multiplied by 1, which gives 6.
Correct answer: six- A. the person immediately on their right
- B. the person sitting opposite them
- C. the same person
- D. the person two places to their left
Explanation: Half of six is three, so a move of three places lands directly across the circle.
Correct answer: the person sitting opposite them- A. only at the left end
- B. only at the right end
- C. at either end of the block M, N, O
- D. between M and N
Explanation: The clues lock M, N and O into a fixed block in that order, so the only free positions for P are before M or after O.
Correct answer: at either end of the block M, N, O- A. on Y's left
- B. on Y's right
- C. opposite Y
- D. behind Y
Explanation: People facing north share the reader's orientation, so left and right are the same for both, and X remains on Y's left.
Correct answer: on Y's left- A. listing every possible order
- B. subtracting the arrangements where A and B are together from the total arrangements
- C. assuming A always sits first
- D. ignoring the restriction
Explanation: Counting the unwanted cases and subtracting them from the total is far quicker than enumerating what remains, and it is the standard…
Correct answer: subtracting the arrangements where A and B are together from the total arrangements- A. Q or T
- B. P or S
- C. R only
- D. T only
Explanation: Q, R and T occupy positions one, two and five, leaving positions three and four for P and S in either order, so the middle seat is taken…
Correct answer: P or S- A. four
- B. six
- C. twelve
- D. twenty four
Explanation: Circular arrangements of n people number n minus 1 factorial, because fixing one person removes the equivalent rotations, so for four…
Correct answer: six- A. two
- B. three
- C. four
- D. one
Explanation: Sara is 5th from the right, so she is 12 minus 5 plus 1, that is the 8th from the left, while Bilal is 5th, and the children between them…
Correct answer: twoSeating Arrangements MCQs: common questions
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