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Linear Seating Arrangement Questions and Answers

Important Instructions
Direction for [ Question No: 21 To 23 ] :

Directions : A classroom has 4 benches. Each one can seat two students. Assume that the benches are numbered 1 to 4 from front to back. Eight students, A, B, C, D, E, F, G and H are sitting on the benches, not necessarily in that order. Following are known:
I. A and G have a gap of two benches between them, so do B and H.
II. C and E are not sitting on the same bench.
III. D is sitting in front of F, and F is sitting in front of G.

Answer 56 - 59 on the basis of the above information. The individual questions may have more information, which are applicable only for the respective questions.

21.

Which of the following cannot be true ?

Exam Year(s)

Punjab Civil Service - 2018,

Answer: C

The statement that cannot be true is B and C are sitting together.

A and G have two benches between their benches, so they are on benches 1 and 4. G is behind both D and F, so G cannot be on bench 1: G is on 4 and A on 1. B and H also fill benches 1 and 4, one each. D is in front of F, and both are in front of G, so D is on bench 2 and F on bench 3. C and E take the remaining seats on benches 2 and 3, one on each.

So B is always on bench 1 or 4 and C always on bench 2 or 3: they can never share a bench. A and H can share bench 1, C can sit with F on bench 3, and E can sit with D on bench 2, so those three are possible.

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22.

Which of the following cannot be a possible sitting order from front to back ?

Exam Year(s)

Punjab Civil Service - 2018,

Answer: C

The order that cannot occur is AFEB.

Taking one student from each bench, from front to back, the possible students are: bench 1, A or B or H; bench 2, D or C or E; bench 3, F or C or E; bench 4, G or B or H.

In AFEB, F is the student from bench 2, but F always sits on bench 3, so this order is impossible.

The others fit: ADFG takes A, D, F and G from benches 1 to 4; ADFB has B on bench 4; HCEG has H on bench 1, C on bench 2 and E on bench 3, which keeps C and E apart as required.

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23.

In addition to the given information, if it is further known that B is sitting on the last bench, then which of the following pairs must be sitting together ?

Exam Year(s)

Punjab Civil Service - 2018,

Answer: C

The pair that must sit together is A and H.

B and H are on benches 1 and 4, one on each. If B is on the last bench, H must be on bench 1, which is A's bench, so A and H sit together.

A and G are on benches 1 and 4 and are never together. C sits with D only if C is on bench 2, which is not forced, since E could take that seat. C and E are never on the same bench, by the given conditions.

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24.

Five girls are sitting in a row. Rosy is not adjacent to Sivanandhini and Abi. Anuradha is not adjacent to Sivanandhini. Rosy is adjacent to Monika. Monika is at the middle in the row. Then, Anuradha is adjacent to whom out of the following?

Exam Year(s)

TNPSC Group 1 - 2025, TNPSC - 2025,

Answer: A

Monika is in the middle (position 3) and Rosy is adjacent to her, so Rosy is at position 2 or 4. Rosy is not adjacent to Sivanandhini or Abi, so Rosy's other neighbour, at the end of the row, must be Anuradha.

So Anuradha sits next to Rosy, option A. Sivanandhini cannot be Anuradha's neighbour, and Monika is in the middle, not next to the end seat.

The arrangement is therefore Anuradha, Rosy, Monika in one corner of the row, with Sivanandhini and Abi in the other seats on the far side of Monika.

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25.

Seven persons A, B, C, D, E, F and G are standing in a straight line.

D is to the right of G.
C is between A and B.
E is between F and D.
There are three persons between G and B. Who is on the extreme left ?

Exam Year(s)

Tripura Public Service Commission - 2026,

Answer: C

G is on the extreme left.

There are three people between G and B, so they are 5 places apart, and D is somewhere to the right of G. Try G in position 1 and B in position 5. C must be next to B with A on its other side, which forces B, C, A into positions 5, 6, 7. That leaves positions 2, 3, 4 for F, E and D, with E in the middle:

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GFEDBCA

Every condition holds: D is right of G, C is between A and B, E is between F and D, and three people separate G and B. Trying B on the left of G fails: the B, C, A block and the F, E, D block cannot both fit. So G is at the extreme left, which rules out A, B and D.

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26.

Four girls are sitting on a bench to be photographed. Shikha is to be left of Reena. Manju is to the right of Reena. Rita is between Reena and Manju, who whould be 2nd from left in the photograph ?

Exam Year(s)

Tripura Public Service Commission - 2025,

Answer: C

The girl 2nd from the left is Reena.

Shikha is to the left of Reena, and Manju to the right of Reena with Rita between them. So the order from left to right is:

Shikha, Reena, Rita, Manju

Reena is second from the left. Shikha is first, Rita third and Manju last, so the other options are wrong.

A quick diagram of four places on a line, filled in clue by clue, avoids mixing up left and right in arrangement questions like this.

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27.

Five children are sitting in the row. S is sitting next to P but not T. K. is sitting next to R who is sitting on extreme left and T is not sitting next to K. Who are sitting adjacent to S ?

Exam Year(s)

Tripura Public Service Commission - 2025,

Answer: D

The answer is None of these.

R sits at the extreme left and K next to R, so the row starts R, K. T is not next to K, so T is in the 4th or 5th seat. S sits next to P but not next to T. If T were 4th, S would have to be 3rd or 5th, both next to T, which is not allowed. So T is 5th, S is 3rd and P is 4th:

R, K, S, P, T

S sits between K and P. No option names K and P, so 'P and T', 'R and P' and 'Only K' are all wrong, which leaves None of these.

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28.

A, P, R, X, S and Z are sitting in a row. S and Z are in the centre. A and P are at the ends. R is sitting to the left of A. Who is to the right of P ?

Answer: B

Correct answer: X

S and Z occupy the two middle places, third and fourth, and A and P the two ends. R must sit to A’s left, which is only possible if A is at the far end - so P is first, R fifth and A sixth, leaving X second. The person to P’s right is therefore X.

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29.

There are 8 houses in a line and in each house only one boy lives with the conditions as given below:

  1. Jack is not the neighbour Siman.
  2. Harry is just next to the left of Larry.
  3. There is at least one to the left of Larry.
  4. Paul lives in one of the two houses in the middle.
  5. Mike lives in between Paul and Larry.

If at least one lives to the right of Robert and Harry is not between Taud and Larry, then which one of the following statement is not correct ?

Answer: C

Correct answer: Taud is in between Paul and Jack

Paul takes one of the two middle houses, and Harry stands immediately left of Larry with at least one house further to their left. Mike lives between Paul and Larry, which seats Harry, Larry, Mike and Paul in houses 2 to 5. Because Harry is immediately left of Larry, Harry would lie between Taud and Larry whenever Taud is further left - the question rules that out, so Taud is to Larry’s right. At least one boy lives right of Robert, so Robert is not in house 8, and Jack must stay clear of Siman. The row reads:

1 Jack · 2 Harry · 3 Larry · 4 Mike · 5 Paul · 6 Siman · 7 Robert · 8 Taud

Checking the statements: Robert is in house 7, not the left end; Robert does stand between Siman and Taud; and Siman, Robert and Taud - three boys - live to Paul’s right. But Taud is at the far right of the row and Jack at the far left, with Paul between them, so Taud is not between Paul and Jack. That is the statement which is not correct.

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30.

A, B, C, D and E are sitting on a bench. A is sitting next to B, C is sitting next to D, D is not sitting with E who is on the left end of the bench. C is on the second position from the right. A is to the right of B and E. A and C are sitting together. In which position A is sitting ?

Answer: B

Correct answer: Between B and C

E is at the left end and C second from the right, that is fourth of five. A must sit beside C and to the right of both B and E, which puts A third and B second, with D fifth beside C. The bench reads E, B, A, C, D, so A sits between B and C.

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