Linear Arrangement MCQ Quiz - Objective Question with Answer for Linear Arrangement - Download Free PDF

Last updated on May 24, 2025

Linear arrangement is an essential topic of Data Sufficiency, in which a group of members sits or stands facing any direction. Their sitting positions are given with statements based on relative positions to each other. In this type of question, various questions are asked like- Finding total number of members, position of any member from left or right end, relative position of any member with respect to another member. This topic shares a good amount of questions in various National and State level exams like- UPSC, State PSCs, Railways, Banking, Entrance exams etc. To solve this type of question, first assume the given direction towards top of your notebook. Start arranging the members according to their given position, it may be from end or relative to another member, so be careful when you are doing this. We assume direction to reduce the left and right confusion, so shifts left to right or vice versa according to given data. The following question, based on latest pattern are given for practice at Testbook.

Latest Linear Arrangement MCQ Objective Questions

Linear Arrangement Question 1:

A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. 

A, B, C, D and E are sitting in a straight line facing North. Who sits on the extreme right end?

(I) Exactly three people sit between B and C.

(II) A sits immediately to the left of B.

  1. Both Statements I and II put together are not sufficient to answer the question.
  2. Data in Statement II alone is sufficient to answer the question, while data in Statement I is not
  3. Data in Statement I alone is sufficient to answer the question, while data in Statement II is not.
  4. Both Statements I and II put together (and not independently) are sufficient to answer the question. 

Answer (Detailed Solution Below)

Option 4 : Both Statements I and II put together (and not independently) are sufficient to answer the question. 

Linear Arrangement Question 1 Detailed Solution

Given: A, B, C, D and E are sitting in a straight line facing North.

Statement (I): Exactly three people sit between B and C.

qImage67add08a65acad2101904a6bIMG -958    08-05-25   Yuvraj kori 42

Here, either B and C sits on the extreme right end, thus cannot be determined.

Statement (II): A sits immediately to the left of B.

Case 1) 

qImage67add08b65acad2101904a6eIMG -958    08-05-25   Yuvraj kori 43

Case 2)

qImage67add08b65acad2101904a6fIMG -958    08-05-25   Yuvraj kori 44

Case 3)

qImage67add08c65acad2101904a70IMG -958    08-05-25   Yuvraj kori 45

Case 4)

qImage67add08c65acad2101904a7eIMG -958    08-05-25   Yuvraj kori 46

Here, it cannot be determined who sits on the extreme right end.

Combined statements (I) and (II): Exactly three people sit between B and C. A sits immediately to the left of B.

qImage67add08d65acad2101904a7fIMG -958    08-05-25   Yuvraj kori 47

Here, B sits on the extreme right end.

Thus, Both Statements I and II put together (and not independently) are sufficient to answer the question. 

Hence, "Option 4" is the correct answer.

Linear Arrangement Question 2:

A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. 

A, B, C, D and E are sitting in a straight line facing north. Who sits on the extreme left end?

(I) D sits second to the right of C.

(II) Exactly two people sit between B and D. 

  1. Data in Statement II alone is sufficient to answer the question, while data in Statement I is not. 
  2. Both Statements I and II put together are not sufficient to answer the question.
  3. Both Statements I and II put together (and not independently) are sufficient to answer the question.
  4. Data in Statement I alone is sufficient to answer the question, while data in Statement II is not

Answer (Detailed Solution Below)

Option 2 : Both Statements I and II put together are not sufficient to answer the question.

Linear Arrangement Question 2 Detailed Solution

Given: A, B, C, D and E are sitting in a straight line facing north.

Statements:

(I) D sits second to the right of C. 

Case 1)

Task Id 1032 Daman (37)

Case 2)

Task Id 1032 Daman (38)

Case 3)

Task Id 1032 Daman (39)

Here, it cannot be determined who sits on the extreme left end.

(II) Exactly two people sit between B and D. 

Case 1)

Task Id 1032 Daman (40)

Case 2)

Task Id 1032 Daman (41)

Here, it cannot be determined who sits on the extreme left end.

Combining statements (I) and (II) D sits second to the right of C. Exactly two people sit between B and D. 

Case 1)

Task Id 1032 Daman (42)

Case 2)

Task Id 1032 Daman (43)

Here, it cannot be determined who sits on the extreme left end.

Thus, Both Statements I and II put together are not sufficient to answer the question.

Hence, "Option 2" is the correct answer.

Linear Arrangement Question 3:

A question is given, followed by two statements labelled I and II. Identify which of the statements is/are sufficient to answer the question. 

Q. A, B, C, D and E are sitting in a straight line facing north. Who sits on the extreme left end?

(I) A sits fourth to the right of E.

(II) Exactly 1 person sits between B and C.

  1. Both Statements I and II put together (and not independently) are sufficient to answer the question. 
  2. Data in Statement II alone is sufficient to answer the question, while data in Statement I is not. 
  3. Both Statements I and II put together are not sufficient to answer the question. 
  4. Data in Statement I alone is sufficient to answer the question, while data in Statement II is not. 

Answer (Detailed Solution Below)

Option 4 : Data in Statement I alone is sufficient to answer the question, while data in Statement II is not. 

Linear Arrangement Question 3 Detailed Solution

Given: A, B, C, D and E are sitting in a straight line facing north. 

Statement (I) A sits fourth to the right of E.

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Here, E and A sits on the extreme left end. Therefore Data in Statement I alone is sufficient to answer the question.

Statement (II) Exactly 1 person sits between B and C.

Case 1)

qImage67efef3d211750f17e612c00

Case 2)

qImage67efef3d211750f17e612c01

Case 3)

qImage67efef3d211750f17e612c02

Here, people who sit on the extreme left end cannot be determined. Therefore Data in Statement II alone is not sufficient to answer the question.

Thus, Data in Statement I alone is sufficient to answer the question, while data in Statement II is not. 

Hence, "Option 4" is the correct answer.

Linear Arrangement Question 4:

In this question, a question is followed by two statements numbered (I) and (II). You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and decide the appropriate answer. 

Question: Six people sit in two parallel rows. In Row 1- A, B and C sit facing towards north and in Row 2 - P, Q and R sit facing the south. Each person in a row faces a person in the other row. Who sits at the right extreme end of Row 1?

Statement (I): R sits to the immediate left of Q. Q faces A. B sits to the immediate left of A.

Statement (II): Only one person sits between B and C. B faces an immediate neighbour of Q. 

  1. Data in statements I and II together are NOT sufficient to answer the question. 
  2. Data in Statement I alone is sufficient to answer the question while data in statement II is not. 
  3. Data in Statement II alone is sufficient to answer the question while data in statement I is not.
  4. Data in statements I and II together are sufficient to answer the question.

Answer (Detailed Solution Below)

Option 2 : Data in Statement I alone is sufficient to answer the question while data in statement II is not. 

Linear Arrangement Question 4 Detailed Solution

Given : 

  1. Six people sit in two parallel rows.
  2. In Row 1- A, B and C sit facing towards north
  3. Row 2 - P, Q and R sit facing the south.
  4. Each person in a row faces a person in the other row.

Explanation : 

  • Statement (I) → R sits to the immediate left of Q. Q faces A. B sits to the immediate left of A.

qImage67cebd9ef5da9f9a9027c25b

Only one position is left so 'C' sits at the right extreme end of Row 1.

So, statement (I) is sufficient to answer the question.

  • Statement (II) → Only one person sits between B and C. B faces an immediate neighbour of Q. 

​As any specific position of G, J and L cannot be determined, so no specific answer can drawn from it as this statement gives many possibilities.

qImage67cebd9ff5da9f9a9027c25c

B and C's position is not clear.

So, statement (II) is not sufficient to answer the question.

Hence, "Option (2)" is the correct answer.

Linear Arrangement Question 5:

Given below is a question followed by two statements I and II. Read both statements carefully to decide which one of them is sufficient to answer the question.

Question: Six students P, Q, R, S,T and U are sitting in a row facing blackboard in the south direction. How many people sits to the left of R?

Statement I: Two people sit between R and U who is to the left of R who is third from the right end.

Statement II: One person sits between R and T and P and Q, P sits to the immediate right of R.

  1. Data in statement II alone is sufficient to answer the question while data in statement I is not.
  2. Data in statement I alone is sufficient to answer the question while data in statement II is not.
  3. Data in statements I and II together are NOT sufficient to answer the question.
  4. Data in statements I and II together are sufficient to answer the question.

Answer (Detailed Solution Below)

Option 2 : Data in statement I alone is sufficient to answer the question while data in statement II is not.

Linear Arrangement Question 5 Detailed Solution

Given: Six students: P, Q, R, S, T, U. All of them sitting in a row facing in south direction.

Explanation:

Statement I: Two people sit between R and U who is to the left of R who is third from the right end.
F5 Vinanti SSC 14.11.23 D5

So, according to the final arrangement of Statement I, there are 3 person to the left of R.

So, Statement I is sufficient to answer the Question.

Statement II: One person sits between R and T and P and Q, P sits to the immediate right of R.

Case I:
F5 Vinanti SSC 14.11.23 D6

Case II:
F5 Vinanti SSC 14.11.23 D7

More than 1 case are possible in according to statement II.

Statement I alone is sufficient to answer the Question.

Hence, the correct answer is 'Option 2'.

Top Linear Arrangement MCQ Objective Questions

Direction: The question given below consists of two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and give the answer:

In a row, there are 5 poles - P, Q, R, S and T,  which pole is at the penultimate position?

Statements:

I. Poles S and Q are at the two extreme ends of the row respectively from left to right.

II. Pole T is to the right of building R.

  1. I alone is sufficient while II alone is not sufficient
  2. II alone is sufficient while I alone is not sufficient
  3. Either I or II is sufficient
  4. Neither I nor II is sufficient

Answer (Detailed Solution Below)

Option 4 : Neither I nor II is sufficient

Linear Arrangement Question 6 Detailed Solution

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From I, we get the order: S, - , - , - , Q.

From II, we get the order: R, T

Combining I and II, we get two possible orders:

S, R, T, P, Q or S, P, R, T, Q.

Thus, either P or T is at the second last position.

Directions: In each of the following questions, a question followed by two statement is given. You have to select a statement that answers the question. Choose

Six students are sitting in a circle at equal distance from each other. All of them are facing towards centre. Who is sitting opposite to Munnu?

Statements:

I. Chinto is three places to the right of Munnu.

II. Pinku, whose immediate neighbours are Mintu and Chunnu, sits two places to the left of Munnu.

  1. Data in statement (I) alone is sufficient to answer the question, while the data in statement (II) alone is not sufficient to answer the question
  2. Data in statement (II) alone is sufficient to answer the question, while the data in statement (I) alone is not sufficient to answer the question
  3. Data either in statement (I) alone or in statement (II) alone is sufficient to answer the question 
  4. Data in both statement (I) and (II) together are not sufficient to answer the question

Answer (Detailed Solution Below)

Option 1 : Data in statement (I) alone is sufficient to answer the question, while the data in statement (II) alone is not sufficient to answer the question

Linear Arrangement Question 7 Detailed Solution

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Given: Six students sitting in a circle, all facing the centre.
 
Now,
 
Statement I: "Chinto is three places to the right of Munnu."
F1 Railways  Priya  18 10 24 D6
 
It is clear from the diagram that Chintu is sitting opposite to Munnu. So, Data in statement (I) alone is sufficient to answer the question
 
Statement II: "Pinku, whose immediate neighbours are Mintu and Chunnu, sits two places to the left of Munnu."
F1 Railways  Priya  18 10 24 D7
 
It is clear from the diagram that we are not able to decide, who is going to sit opposite to Munnu from the given information in statement 2, Mintu and Chunnu both can sit opposite to Munnu. So, the data in statement (II) alone is not sufficient to answer the question
 
So, based on this analysis, Option (1) is the correct answer.

In the following question, a given question is followed by information in two statements. You have to decide the data in which statement (s) is sufficient to answer the question and mark your answer accordingly.

A, B, C, D, E, F, G and H are sitting in a straight line facing south. Who sits 3rd to the right of G?

I. R sits to the left of E.

II. On the extreme right end, E is placed. E is immediately followed by A or H. G sits third from the extreme left end.

  1. The statementI alone is sufficient while statement II alone is not sufficient.
  2. Statement II alone is sufficient while statement I alone is not sufficient.
  3. Either statement I alone or statement II alone is sufficient to answer the question.
  4. Neither statement I nor statement II is sufficient to answer the question.
  5. Both statements I and statement II together are necessary to answer the question. 

Answer (Detailed Solution Below)

Option 4 : Neither statement I nor statement II is sufficient to answer the question.

Linear Arrangement Question 8 Detailed Solution

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From statement I:

As the specific position of E is not mentioned thus we cannot place R. Thus statement 1 alone does not follow.

From statement II:

As the specific position of A and H is not mentioned, thus it is difficult to determine the person sitting third to the right of G.

Thus, Statement II does not follow.

On combining both I and II,

After combining statement I and statement II, we cannot determine as to who is sitting 3rd to the right of G.

RRB OA MFT3 26 July 2018 40q. D20

Thus, neither of the data in statement I and statement II is sufficient to answer the question.

Direction: In the following question, a given questions is followed by information in three statements. You have to decide the data in which statement(s) is sufficient to answer the question and mark your answer accordingly.

Eight persons A, B, C, D, E, F, G and H are sitting in a row facing south. Who sits second to the right of H?

I. B sits second to the right of G, who is third to the right of E. A sits at one of the extreme end and is second to the right of C.
 II. D sits to the left of H, who sits second to the right of E. H sits third to the left of B.
III. A sits third to the right of G, who sits second to the left of B. G sits fourth to the right of D. C and H doesn’t sit adjacent to each other.

  1. Any one of the statements is sufficient
  2. Both statement II and III are required
  3. All statements are required
  4. Only statement I is sufficient 
  5. Only statement III is sufficient

Answer (Detailed Solution Below)

Option 2 : Both statement II and III are required

Linear Arrangement Question 9 Detailed Solution

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Statement I:
B sits second to the right of G, who is third to the right of E. A sits at one of the extreme ends and is second to the right of C.
Capture169
Statement II:
D sits to the left of H, who sits second to the right of E. H sits third to the left of B.
Capture170
Statement III:
A sits third to the right of G, who sits second to the left of B. G sits fourth to the right of D. C and H doesn’t sit adjacent to each other.

Capture171
From statement II and III together,
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Hence, both statements II and III are required.

In the question below there are two statements numbered I and II Decide whether the facts provided in those statements are sufficient to answer the question? Read both the statements and give your answer.

Question: Seven people Kuna, Kamal, Shiva, Naveen, Tarun, Rajesh and Vijay are standing in a row facing east. Who stands at the extreme right end?

I. Only Kamal is in between Vijay and Kuna. Naveen is to the immediate right of Vijay.

II. Naveen is between Vijay and Shiva. Tarun is standing to the immediate left of Kuna.

  1. The facts in statement II are sufficient to answer the question.
  2. The facts in statement I are sufficient to answer the question.
  3. The facts in statements I and II together are sufficient to answer the question.
  4. The facts in Statements I and II together are not sufficient to answer the question.

Answer (Detailed Solution Below)

Option 4 : The facts in Statements I and II together are not sufficient to answer the question.

Linear Arrangement Question 10 Detailed Solution

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According to the given statements:

Statement I. Only Kamal is in between Vijay and Kuna. Naveen is to the immediate right of Vijay.

F1 Prashant Madhu 08.07.21 D4

Statement II. Naveen is between Vijay and Shiva, Tarun is standing to the immediate left of Kuna.

F1 Prashant Madhu 08.07.21 D5

F1 Prashant Madhu 08.07.21 D6

From the above arrangement, there is one vacant place, so we can't sure about the place of Rajesh.

Either Rajesh or Shiva is sitting at the right end.

Hence, "The facts in Statements I and II together are not sufficient to answer the question".

A question is given followed by two statements. Identify which statements are sufficient to answer the question.

Question:

A, K, P and X are standing in a row. Who stands second in the row?

Statement:

1. X is on the counter.

2. P is between A and K.

  1. Statements 1 and 2 together are sufficient.
  2. Statement 2 alone is sufficient.
  3. Statement 1 alone is sufficient.
  4. Statements 1 and 2 together are insufficient.

Answer (Detailed Solution Below)

Option 4 : Statements 1 and 2 together are insufficient.

Linear Arrangement Question 11 Detailed Solution

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Statement 1: X is on the counter. 

Only the first position is known. The second position is not known.

So, it alone is not sufficient to answer the question.

Statement 2: P is between A and K. 

The order can be:

Case I Case II
A K
P P
K A

 

The position of X is not known.

So, statement 2 alone is not sufficient.

Combining statements 1 and 2:

The order can be:

Case I Case II
X X
A K
P P
K A

 

The second position can be A or K.

So, the two statements together are also not sufficient.

Hence, the correct answer is "Statements 1 and 2 together are insufficient".

In the following question, a given question is followed by information in two statements. You have to decide the data in which statement (s) is sufficient to answer the question and mark your answer accordingly.

M, N, O, P, Q and R are sitting in a straight line facing north. Who is sitting exactly between P and N?

I. Q sits at the extreme right end and P is his immediate neighbour.

II. N sits at the extreme left end. Between P and N exactly in the middle, R is placed.

  1. The statement I alone is sufficient while statement II alone is not sufficient.
  2. Statement II alone is sufficient while statement I alone is not sufficient.
  3. Either statement I alone or statement II alone is sufficient to answer the question.
  4. Neither statement I nor statement II is sufficient to answer the question.
  5. Both statements I and statement II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 2 : Statement II alone is sufficient while statement I alone is not sufficient.

Linear Arrangement Question 12 Detailed Solution

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From statement I:

RRB OA MFT3 26 July 2018 40q. D17

From statement II:

ordr        

Hence, only statement II is sufficient to answer the question.

Directions: Question below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question.

Eight persons M, N, O, P, Q, R, S and T are sitting in a row facing north. Who sits third to the left of O?

Statement I: P sits immediate right of Q. One person sits between M and T. R sits to the left of S, who is adjacent to M.

Statement II: N sits second to the left of M, who sits immediate left of O. P sits to the right of T.

  1. Data in statement I alone sufficient to answer the question, while the data in statement II alone are not sufficient to answer the question. 
  2. Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.
  3. Data either in statement I alone or in statement II alone are sufficient to answer the question.
  4. Data in both the statements I and II together are not sufficient to answer the question. 
  5. Data in both the statements I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 2 : Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Linear Arrangement Question 13 Detailed Solution

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Statement I: P sits immediate right of Q. One person sits between M and T. R sits to the left of S, who is adjacent to M.

Therefore, we cannot determine the person sitting third to the left of O.

Statement II: N sits second to the left of M, who sits immediate left of O. P sits to the right of T.

In this Statement, M is immediate left of O and N is second to the left of M.

Therefore, N sits third to the left of O.

Hence, Data in statement II alone are sufficient to answer the question, while the data in statement I alone are not sufficient to answer the question.

Direction: The following question consists of a question followed by two statements numbered I, II. Decide if data given in the statements are sufficient to answer the questions below.

In a row of five theatres PVR, Carnival, INOX, Noor and Shamiyana which one is in the middle?

I. Noor is to the immediate left of Shamiyana and Carnival is to the immediate right of Shamiyana. 

II. Carnival is at the extreme right of the row.

  1.  The data in statement I alone are sufficient to answer the question, while the data in statement II are not sufficient to answer the question.
  2. The data in statement II alone are sufficient to answer the question, while the data in statement I are not sufficient to answer the question.
  3. The data in statement I alone or data in statement II are sufficient to answer the question.
  4.  The data in both statement I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 4 :  The data in both statement I and II together are necessary to answer the question.

Linear Arrangement Question 14 Detailed Solution

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From I.: we have the order: Noor, Shamiyana, Ciranival.

L& T 1

This statement 1 is not enough to tell that who is in the middle among 5.

From II. : Ciranival is at the extreme right of the row.

This statement 2 is not enough to tell that who is in the middle among 5.

Combining 1 and 2 we get that:

L& T 2

Hence, considering both I and II, we conclude that among the five theatres, Noor is the third and in the middle theatre in the row.

Hence, The data in both statement I and II together are necessary to answer the question.

Direction: In each of the questions below consists of a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and answers.

Seven people Priyam, Gopi, Ashish, Suhas,  Samar  Girish, Babita are sitting in a straight line facing north in direction. Who is sitting in the middle of the row?

I. Gopi is sitting immediately left of Ashish. Only two persons are sitting between Suhas and Babita. Priyam sits one of the places to the left of Suhas.

II. Priyam is sitting second to the left of Ashish. Samar and Girish are sitting together.

  1. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question.
  2. If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question.
  3. If the data either in statement I alone or in statement II alone is sufficient to answer the question.
  4. If the data in both statements I and II together are not sufficient to answer the question.
  5. If the data in both statements I and II together are necessary to answer the question.

Answer (Detailed Solution Below)

Option 4 : If the data in both statements I and II together are not sufficient to answer the question.

Linear Arrangement Question 15 Detailed Solution

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Statement I: Gopi is sitting immediately left of Ashish. Only two persons are sitting between Suhas and Babita. Priyam sits one of the places to the left of Suhas. Four possibilities could occur.

F1 Taniya.D 30-05-2020 Savita D 15

F1 Taniya.D 30-05-2020 Savita D 16

F1 Taniya.D 30-05-2020 Savita D 17

F1 Taniya.D 30-05-2020 Savita D 18

There are many more cases from statement I. so this statement I alone is not sufficient.

Statement II: Priyam is sitting second to the left of Ashish. Samar and Girish are sitting together.

F1 Taniya.D 30-05-2020 Savita D 19

F1 Taniya.D 30-05-2020 Savita D 20

F1 Taniya.D 30-05-2020 Savita D 21

F1 Taniya.D 30-05-2020 Savita D 22

From the statement, II answers cannot be determined.

By combining both statements,

F1 Taniya.D 30-05-2020 Savita D 23

Both statements are not sufficient to answer the question. Hence neither statement I nor statement II is sufficient.

Hence, the correct answer is if the data in both statements I and II together are not sufficient to answer the question.
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