Linear Arrangement
Linear Arrangement: Overview
This topic covers concepts, such as, Linear Arrangement with Persons Facing in One Direction, Linear Arrangement with Direction Sense, Parallel Seating Arrangement & Linear Arrangement with Three Rows etc.
Important Questions on Linear Arrangement
Study the following information carefully and answer the question given below.
At the NIIT institute, seven classes from north to south numbered to Three of these seven classes are vacant, there are two students in one class and one student in each of the remaining three. Five students S, D, R, A, and X are studying at the NIIT institute. S and X study in the same class. D's class lies in the north of A's class. None of the unoccupied classes are adjacent to each other. The class number is unoccupied. S studies in class number X's class lies towards the north of the R's class.
If D studies in class number then which of the following must be true?
Read the following information carefully and answer the question given below.
Mr. Bhagwant acted as a Judge for the beauty contest. There were four participants, viz- Ms. Andhra Pradesh, Ms. Uttar Pradesh, Ms. West Bengal and Ms. Maharashtra. Mrs. Bhagwant, who was very anxious about the result, asked him about it as soon as he was back home. Mr. Bhagwant just told her, the one who was wearing the yellow saree won the contest. When Mrs. Bhagwant pressed for further details, he elaborated as follows:
All of them were sitting in a row.
All of them wore sarees of different colours, viz- green, yellow, white and red.
There was only one runner-up and was sitting beside Ms. Maharashtra.
The runner-up was wearing the green saree.
Ms. West Bengal was not sitting at the end and was not the runner-up.
The winner and the runner-up were not sitting adjacent to each other.
Ms. Maharashtra was wearing a white saree.
Ms. Andhra Pradesh was not wearing the green saree.
Participants wearing yellow saree and white saree were at the ends.
Who was the runner-up?

Study the following information carefully and answer the question given below.
At the NIIT institute, seven classes from north to south numbered to Three of these seven classes are vacant, there are two students in one class and one student in each of the remaining three. Five students S, D, R, A, and X are studying at the NIIT institute. S and X study in the same class. D's class lies in the north of A's class. None of the unoccupied classes are adjacent to each other. The class number is unoccupied. S studies in class number X's class lies towards the north of the R's class.
Who is/are in class number

Study the following information carefully and answer the question given below:
Z, Y, X, W, V, U and T are seven members of a family. There are three female members. Each of them has a degree in engineering denoted by CE (Computer Engineering), ME (Molecular Engineering), EE (Environmental Engineering), TE (Transport Engineering), PE (Petroleum Engineering), AE (Agricultural Engineering) and OE (Optical Engineering).
No lady is either OE or ME.
The one who is a ME is the oldest among all of them.
W the EE is younger than U, who is a PE.
X, the TE is older than Z but younger than W.
T's wife is the youngest among all of them.
V who is CE, is an unmarried lady. V is younger than Z and older than only Y.
The one who is an OE is not the youngest among all of them.
Which of the following engineers is a married couple?

Study the following information carefully to answer the question given below.
Twelve people are sitting in two parallel rows containing six people each, in such a way that there is an equal distance between adjacent persons. In row-1 Amit, Sumit, Rohit, Harshit, Mohit and Shobhit are seated and all of them are facing south. In row-2 Sita, Rita, Gita, Nita, Mita and Anita are seated and all of them are facing North. Therefore in the given seating arrangement each member seated in a row faces another member of the other row.
Harshit sits third to the right of Sumit. Either Harshit or Sumit sits at an extreme end of the line. The one who faces Sumit sits second to right of Mita. Two people sit between Rita and Anita. Neither Rita nor Anita sits at an extreme end of the line. The immediate neighbour of Rita faces the person who sits third to the left of Amit. Rohit and Mohit are immediate neighbours of each other. Gita sits second to the left of Sita. Mohit does not face the immediate neighbour of Nita.
Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?

Read the following information carefully and answer the question given below.
At the NIIT institute, seven classes from north to south numbered to Three of these seven classes are vacant, there are two students in one class and one student in each of the remaining three. Five students S, D, R, A and X are studying at the NIIT institute. S and X study in the same class. D's class lies in the north to A's class. None of the unoccupied classes are adjacent to each other. Class number is unoccupied. S studies in class number X's class lies towards the north of the R's class.
Which of the following is definitely false?
Study the following information carefully and answer the questions given below.
Ten people M, N, O, P, Q, R, S, T, U, and V are sitting in two parallel rows in such a way that there is an equal distance between adjacent people. There are six people sitting in one row and four people sitting in the other row. The row in which P is sitting has less number of members and faces south. N is sitting between V and U. U is the neighbour of R. R is sitting beside O and is second to the right of Q. T sits at the extreme end and is the neighbour of S. T is just opposite to N. P is diagonally opposite to V and sits at the extreme end.
Who sits opposite to P?

Study the following information carefully and answer the question given below:
Z, Y, X, W, V, U and T are seven members of a family. There are three female members. Each of them has a degree in engineering denoted by CE (Computer Engineering), ME (Molecular Engineering), EE (Environmental Engineering), TE (Transport Engineering), PE (Petroleum Engineering), AE (Agricultural Engineering) and OE (Optical Engineering).
No lady is either OE or ME.
The one who is a ME is the oldest among all of them.
W the EE is younger than U, who is a PE.
X, the TE is older than Z but younger than W.
T's wife is the youngest among all of them.
V who is CE, is an unmarried lady. V is younger than Z and older than only Y.
The one who is an OE is not the youngest among all of them.
What is U's degree discipline?

Read the following information carefully and answer the question given below.
Mr. Bhagwant acted as a Judge for the beauty contest. There were four participants, viz- Ms. Andhra Pradesh, Ms. Uttar Pradesh, Ms. West Bengal and Ms. Maharashtra. Mrs. Bhagwant, who was very anxious about the result, asked him about it as soon as he was back home. Mr. Bhagwant just told her, the one who was wearing the yellow saree won the contest. When Mrs. Bhagwant pressed for further details, he elaborated as follows:
All of them were sitting in a row.
All of them wore sarees of different colours, viz- green, yellow, white and red.
There was only one runner-up and was sitting beside Ms. Maharashtra.
The runner-up was wearing the green saree.
Ms. West Bengal was not sitting at the end and was not the runner-up.
The winner and the runner-up were not sitting adjacent to each other.
Ms. Maharashtra was wearing a white saree.
Ms. Andhra Pradesh was not wearing the green saree.
Participants wearing yellow saree and white saree were at the ends.

Read the following information carefully and answer the question given below.
At the NIIT institute, seven classes from north to south numbered to Three of these seven classes are vacant, there are two students in one class and one student in each of the remaining three. Five students S, D, R, A, and X are studying at the NIIT institute. S and X study in the same class. D's class lies in the north of A's class. None of the unoccupied classes are adjacent to each other. The class number is unoccupied. S studies in class number X's class lies towards the north of the R's class.
Which of the following classes is unoccupied?
Study the following information carefully and answer the question given below.
At the NIIT institute, seven classes from north to south numbered to Three of these seven classes are vacant, there are two students in one class and one student in each of the remaining three. Five students S, D, R, A, and X are studying at the NIIT institute. S and X study in the same class. D's class lies in the north of A's class. None of the unoccupied classes are adjacent to each other. The class number is unoccupied. S studies in class number X's class lies towards the north of the R's class.
In which of the following classes is NIIT student, A study?

Four girls are sitting on a bench to be photographed. Shikha is to the left of Reena. Manju is to the right of Reena. Rita is between Reena and Manju. Who would be second from the left in the photograph(Facing North)?

There are tents in a line and in each tent, only one boy lives with the conditions as given below -
. T is not the neighbour of H.
S is just next to the left of L.
There is at least one boy to the left of L.
Q lives in one of the two tents in the middle.
M lives in between Q and L.
If at least one lives to the right of R and S is not between D and L, then which one of the following statements is definitely true?

Read the following information carefully and answer the question given below.
Mr. Bhagwant acted as a Judge for the beauty contest. There were four participants, viz- Ms. Andhra Pradesh, Ms. Uttar Pradesh, Ms. West Bengal and Ms. Maharashtra. Mrs. Bhagwant, who was very anxious about the result, asked him about it as soon as he was back home. Mr. Bhagwant just told her, the one who was wearing the yellow saree won the contest. When Mrs. Bhagwant pressed for further details, he elaborated as follows:
All of them were sitting in a row.
All of them wore sarees of different colours, viz- green, yellow, white and red.
There was only one runner-up and was sitting beside Ms. Maharashtra.
The runner-up was wearing the green saree.
Ms. West Bengal was not sitting at the end and was not the runner-up.
The winner and the runner-up were not sitting adjacent to each other.
Ms. Maharashtra was wearing a white saree.
Ms. Andhra Pradesh was not wearing the green saree.
Participants wearing yellow saree and white saree were at the ends.
Which saree was worn by Ms. Andhra Pradesh?

Study the following information carefully and answer the question given below.
Eight rooms K, J, I, H, G, F, E, and D are located adjacent to one another in two different rows, with four rooms in each row. The doors of the rooms of one row open to the doors of the rooms of another row. No room of consecutive letters is either adjacent or opposite to each other. K and J are the rooms located at the ends of two different rows. I is just left of G and is located in the same row in which K is located. F is just left of J.
Which room is just opposite to I?

Seven varsity basketball players (A, B, C, D, E, F, and G) are to be honoured at a special luncheon. The players will be seated on the dais in a row. A and G have to leave the luncheon early and so must be seated at the extreme right. B will receive the most valuable player's trophy and so must be in the centre to facilitate the presentation. C and D are bitter rivals and therefore must be seated as far apart as possible. Which of the following pairs cannot be seated together?

Direction: Study the following information carefully and answer the question.
A certain number of people sit in a row adjacent to each other. Some of them like ice cream and other likes biscuits. Five persons sit between the one who likes Vanilla and the one who likes Chocolate. The one who likes Parle G sits second to the left of the one who likes Chocolate. Five persons sit between the one who likes Butterscotch and the one who likes Strawberry, who is a neighbour of the one who likes Vanilla. Only two people sit to the right of the one who likes Strawberry. Only one person sits to the right of the one who likes Vanilla. Only three people sit to the right of the one who likes Parle G and the one who likes Bourbon sits second to his right.
Note: The one who likes biscuits faces South and the one who likes ice cream faces North.
How many people are there in the row?

Direction: Study the following information carefully and answer the question.
Advik, Tanmay and Vivan are three men sitting in a line facing South, while Pooja, Stuti and Mansi are three ladies sitting in a second line parallel to the first line and are facing North. Advik, who is just next to the left of Vivan, is opposite Mansi. Tanmay and Stuti are opposite each other. Vivan is opposite Pooja, who is just next left of Mansi. Mansi is at one end of the line.
Which of the following pair is diagonally opposite to each other?

Direction : Read the following information carefully and answer the question given below-
Composite Question :
10 persons are sitting on 10 chairs in two rows having 6 chairs each such that 1 chair is vacant in each row. In row 1 – F, G, H, J and K are sitting facing South. In row 2 – U, X, Y, Z, and V are sitting facing North. All chairs in 1 row are directly opposite the 1 chair in another row. Sitting adjacent means there is no vacant seat in between the persons. Vacant chairs are not facing each other. F is sitting on the second chair which is right of H. U is facing the one who is sitting at second chair to the right of F. Y is facing the one who is sitting second to the left of K. Three people are sitting between U and X. J is facing the vacant chair. There are 2 chairs between G and J. G is facing the one who is sitting at immediate left of Y. U is not facing K. K is facing the one who is sitting adjacent to U. Two people are sitting between Z and V such that V is sitting to the right of U.
Who is sitting opposite the vacant chair?

Direction : Read the following information carefully and answer the question given below-
Composite Question :
10 persons are sitting on 10 chairs in two rows having 6 chairs each such that 1 chair is vacant in each row. In row 1 – F, G, H, J and K are sitting facing South. In row 2 – U, X, Y, Z, and V are sitting facing North. All chairs in 1 row are directly opposite the 1 chair in another row. Sitting adjacent means there is no vacant seat in between the persons. Vacant chairs are not facing each other. F is sitting on the second chair which is right of H. U is facing the one who is sitting at second chair to the right of F. Y is facing the one who is sitting second to the left of K. Three people are sitting between U and X. J is facing the vacant chair. There are 2 chairs between G and J. G is facing the one who is sitting at immediate left of Y. U is not facing K. K is facing the one who is sitting adjacent to U. Two people are sitting between Z and V such that V is sitting to the right of U.
Who is sitting at the third chair to the left of G?
