Linear Seating Arrangement Questions and Answers

Q: Which of the following cannot be true ?

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.

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

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.

Q: 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 ?

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.

Q: Who is sitting on the immediate right to Reena ?

Immediately to the right of Reena is Monica.Put the clues together from left to right. Sheena is to the right of Beena and to the left of Remya, so the order runs Beena, Sheena, Remya. Monica is to the right of Remya, and Reena sits between Remya and Monica, so the order continues Remya, Reena, Monica.The full arrangement is Beena, Sheena, Remya, Reena, Monica. Reena is fourth, and the person to her immediate right is Monica. Remya is on her left, and Beena and Sheena sit at the other end of the bench.

Q: Who is in the middle of the bench in the park ?

The lady in the middle is Remya.Sheena is to the right of Beena and to the left of Remya. Monica is to the right of Remya, and Reena is between Remya and Monica. The order from left to right is Beena, Sheena, Remya, Reena, Monica.Remya is in the third of the five seats, the middle one. Beena and Sheena are at the left end, and Reena and Monica at the right.

Q: Who is sitting on the immediate left to Remya ?

The lady immediately to the left of Remya is Sheena.The order from left to right is Beena, Sheena, Remya, Reena, Monica. Sheena sits directly next to Remya on her left.Reena and Monica are on Remya's right. Beena sits next to Sheena, two seats away from Remya, so she is not the immediate neighbour.

Q: Who amongst the following is sitting second to the right of S?

The person second to the right of S is P.Placing the seven gives the line, from left to right, W T S Q P V R. Put T in place p; then W is p − 1, Q is p + 2 and V is p + 4. V cannot be at an end, so p + 4 is at most 6, and W needs p of at least 2, so p = 2: W 1, T 2, Q 4, V 6. R is not next to Q, so R is not in 3 or 5 and takes 7. S is not next to V, so S is not in 5 or 7 and takes 3. P takes 5.S is in place 3, so second to its right is place 5, which is P. V is in place 6, Q is in place 4 and W is in place 1, so they are not second to the right of S.

Q: Who amongst the following is sitting exactly between T and Q?

The person exactly between T and Q is S.Placing the seven gives the line, from left to right, W T S Q P V R. Put T in place p; then W is p − 1, Q is p + 2 and V is p + 4. V cannot be at an end, so p + 4 is at most 6, and W needs p of at least 2, so p = 2: W 1, T 2, Q 4, V 6. R is not next to Q, so R is not in 3 or 5 and takes 7. S is not next to V, so S is not in 5 or 7 and takes 3. P takes 5.T is in place 2 and Q is in place 4, so the one between them is in place 3, which is S. W, R and P are not in place 3.

Q: Who amongst the following is sitting third to the left of V?

The person third to the left of V is S.Placing the seven gives the line, from left to right, W T S Q P V R. Put T in place p; then W is p − 1, Q is p + 2 and V is p + 4. V cannot be at an end, so p + 4 is at most 6, and W needs p of at least 2, so p = 2: W 1, T 2, Q 4, V 6. R is not next to Q, so R is not in 3 or 5 and takes 7. S is not next to V, so S is not in 5 or 7 and takes 3. P takes 5.V is in place 6, so third to its left is place 3, which is S. R, Q and P are in places 7, 4 and 5.

Important Instructions

Direction for [ Question No: 1 To 3 ] :

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.

Which of the following cannot be true ?

A.A and H are sitting together
B.C and F are sitting together
C.B and C are sitting together
D.D and E are sitting together

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

A.ADFG
B.ADFB
C.AFEB
D.HCEG

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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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 ?

A.A and G
B.C and D
C.A and H
D.C and E

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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Direction for [ Question No: 4 To 6 ] :

Consider the following information and answer the questions :

Five ladies are sitting on a bench in a park ready to be photographed. Sheena is to the left of Remya and to the right of Beena. Monica is to the right of Remya. Reena is between Remya and Monica.

Who is sitting on the immediate right to Reena ?

A.Monica
B.Remya
C.Beena
D.Sheena

Exam Year(s)

KPSC KAS - 2020,

Answer: A

Immediately to the right of Reena is Monica.

Put the clues together from left to right. Sheena is to the right of Beena and to the left of Remya, so the order runs Beena, Sheena, Remya. Monica is to the right of Remya, and Reena sits between Remya and Monica, so the order continues Remya, Reena, Monica.

The full arrangement is Beena, Sheena, Remya, Reena, Monica. Reena is fourth, and the person to her immediate right is Monica. Remya is on her left, and Beena and Sheena sit at the other end of the bench.

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Who is in the middle of the bench in the park ?

A.Beena
B.Reena
C.Remya
D.Sheena

Exam Year(s)

KPSC KAS - 2020,

Answer: C

The lady in the middle is Remya.

Sheena is to the right of Beena and to the left of Remya. Monica is to the right of Remya, and Reena is between Remya and Monica. The order from left to right is Beena, Sheena, Remya, Reena, Monica.

Remya is in the third of the five seats, the middle one. Beena and Sheena are at the left end, and Reena and Monica at the right.

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Who is sitting on the immediate left to Remya ?

A.Reena
B.Monica
C.Beena
D.Sheena

Exam Year(s)

KPSC KAS - 2020,

Answer: D

The lady immediately to the left of Remya is Sheena.

The order from left to right is Beena, Sheena, Remya, Reena, Monica. Sheena sits directly next to Remya on her left.

Reena and Monica are on Remya's right. Beena sits next to Sheena, two seats away from Remya, so she is not the immediate neighbour.

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Direction for [ Question No: 7 To 10 ] :

Study the following information to answer the questions.

Seven friends P, Q, R, S, T, V and W are sitting in a straight line facing north not necessarily in the same order.

T is sitting fourth to the left of V.
W is sitting to the immediate left of T.
Q is sitting third to the right of W.
R is not an immediate neighbor of Q.
S is not an immediate neighbor of V.
V does not sit at an extreme end of the line.

Who amongst the following is sitting second to the right of S?

Exam Year(s)

HPPSC HPAS - 2021,

Answer: C

The person second to the right of S is P.

Placing the seven gives the line, from left to right, W T S Q P V R. Put T in place p; then W is p − 1, Q is p + 2 and V is p + 4. V cannot be at an end, so p + 4 is at most 6, and W needs p of at least 2, so p = 2: W 1, T 2, Q 4, V 6. R is not next to Q, so R is not in 3 or 5 and takes 7. S is not next to V, so S is not in 5 or 7 and takes 3. P takes 5.

S is in place 3, so second to its right is place 5, which is P. V is in place 6, Q is in place 4 and W is in place 1, so they are not second to the right of S.

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Who amongst the following is sitting exactly between T and Q?

Exam Year(s)

HPPSC HPAS - 2021,

Answer: C

The person exactly between T and Q is S.

T is in place 2 and Q is in place 4, so the one between them is in place 3, which is S. W, R and P are not in place 3.

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Who among the following has as many people sitting to this right, as to his left?

Exam Year(s)

HPPSC HPAS - 2021,

Answer: C

The person with as many people on the right as on the left is Q.

In a line of seven, the middle person (place 4) has three on each side. Place 4 is Q. S has two on the left and four on the right, P has four and two, and R is at the end.

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10.

Who amongst the following is sitting third to the left of V?

Exam Year(s)

HPPSC HPAS - 2021,

Answer: C

The person third to the left of V is S.

V is in place 6, so third to its left is place 3, which is S. R, Q and P are in places 7, 4 and 5.

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Linear Seating Arrangement Questions and Answers

Important Instructions

Direction for [ Question No: 1 To 3 ] :

Direction for [ Question No: 4 To 6 ] :

Direction for [ Question No: 7 To 10 ] :

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