Linear Arrangement
Linear Arrangement: Overview
This topic covers concepts, such as, Linear Arrangement with Persons Facing in One Direction, Linear Arrangement with Direction Sense, Linear Arrangement with Unequal Distance between Seats & 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?
Five girls M, N, O, P and Q are standing in a row. P is on the right of Q, N is on the left of Q, but is on the right of M. P is on the left of O. Who is standing on the extreme right?

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

In a class all the boys and girls are made to stand in a row such that one boy is standing beside the first girl, two boys are standing beside the second girl, three boys are standing beside the third girl respectively. The total number of girls in the class is 10. All of them are facing North. Who is standing (boy or girl) to 7th to the left of the one who is standing 30th from the right, and what is his position from the left, If P first girl is standing at leftmost position?

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?
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?

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?

Six people are sitting on a bench facing the north direction. Sam, Peter, and Chris are sitting in 1st, 3rd and 5th positions from the left end. Peter is third to the left of Rex, who is second to the right of Jack. At which position is Mathew sitting from the left end?

persons are standing in a line one of the persons at the extreme ends is a professor and the other a business man. An advocate is standing to the right of student. An author is to the left of the business man. The student is standing between the professor and advocate. Counting from the left. The author is at which place?

Answer the question based on the information given below.
Seven candidates P, Q, R, S, T, U and V like different colours and stand at different places. Each of them appeared for PO Mains exam and scored different marks (in integers). One of the candidates likes Pink. Three candidates score more than S, who stands , north of Q. The candidate who likes Violet and sits , east of S, scores less than S. Candidate who scores the second-lowest scores , marks. The highest scorer stands , east of T, who likes Red. P scores more than S and sits , south of T. More than two candidates score less than T. Difference between the marks of S and the one who likes Violet is less than the difference of marks of S and Q. R doesn’t score the highest marks. Neither U nor V likes Violet. U stands , south of R, who scores , marks. V scores , marks less than U. The candidate, who stands at extreme east, likes Green and sits at a distance of , from the person, who likes Blue. Person who stands at the extreme south likes neither Magenta nor Yellow. Candidate who likes Yellow scores more than the one, who likes Magenta.
What is the shortest distance between the candidate who likes Green and the one who likes Magenta?

Five persons are sitting in a row facing north. C is fourth to the left of M and both have only one neighbor. B is sitting exactly at the middle of the row. N is sitting immediate left of M. V is another person. What is the position of N with respect to V?

A group of friends, A, B, C, D and E are sitting in a row. D is sitting to B's immediate right. C is sitting to E's immediate left and is at one of the ends. If A is not sitting at either end, who among these friends are sitting at the two ends of the sequence?

V, W, X, Y, and Z are sitting in a row facing North. W is between V and X. Y is to the left of Z, who is at one end. X sits in the center of the row. Who is to the right of X?

Six persons Emily, Parth, Siddarth, Kusum, Veena, and Kavin were standing in a straight line facing towards the north. But the distance between two adjacent persons is not the same. There are two persons between Emily and Siddarth. None of them sits at the extreme end of the line. Kavin is to the immediate right of Emily with a distance of 5 m and is sitting at the extreme end. The distance between Kavin and Parth is 23 m. Parth is not the immediate neighbor of Siddarth. The distance between Emily and Siddarth is 80 m and Siddarth is exactly at the midpoint of Veena and Kusum, such that Kusum sits at the extreme end.Distance between Siddarth and Kusum is 25 m.
How many persons sits to the left and to the right of Veena respectively?

Six persons Emily, Parth, Siddarth, Kusum, Veena, and Kavin were standing in a straight line facing towards the north. But the distance between two adjacent persons is not the same. There are two persons between Emily and Siddarth. None of them sits at the extreme end of the line. Kavin is to the immediate right of Emily with a distance of 5 m and is sitting at the extreme end. The distance between Kavin and Parth is 23 m. Parth is not the immediate neighbor of Siddarth. The distance between Emily and Siddarth is 80 m and Siddarth is exactly at the midpoint of Veena and Kusum, such that Kusum sits at the extreme end.Distance between Siddarth and Kusum is 25 m.
Who is to the immediate right of Veena?

Six persons Emily, Parth, Siddarth, Kusum, Veena, and Kavin were standing in a straight line facing towards the north. But the distance between two adjacent persons is not the same. There are two persons between Emily and Siddarth. None of them sits at the extreme end of the line. Kavin is to the immediate right of Emily with a distance of 5 m and is sitting at the extreme end. The distance between Kavin and Parth is 23 m. Parth is not the immediate neighbor of Siddarth. The distance between Emily and Siddarth is 80 m and Siddarth is exactly at the midpoint of Veena and Kusum, such that Kusum sits at the extreme end.Distance between Siddarth and Kusum is 25 m.
What is the distance between Veena and Emily?

Six persons Emily, Parth, Siddarth, Kusum, Veena, and Kavin were standing in a straight line facing towards the north. But the distance between two adjacent persons is not the same. There are two persons between Emily and Siddarth. None of them sits at the extreme end of the line. Kavin is to the immediate right of Emily with a distance of 5 m and is sitting at the extreme end. The distance between Kavin and Parth is 23 m. Parth is not the immediate neighbor of Siddarth. The distance between Emily and Siddarth is 80 m and Siddarth is exactly at the midpoint of Veena and Kusum, such that Kusum sits at the extreme end.Distance between Siddarth and Kusum is 25 m.
How many persons are there between Parth and Emily?

There are nine people A, B, C, D, E, F, G, H, and I are sitting in a linear table. Some of them facing north and some of them facing south direction but not necessarily in the same order. Each one of them has likes different subjects i.e. Quant, Reasoning, English, Physics, Chemistry, Computer, History, Geography, and Economics.
I is facing north and is sits third to left of the person who likes English.The person who likes Reasoning sits immediate right to one of the extreme ends. The person who likes Quant and Reasoning never sits next to each other. Person who likes Geography and Quant sits at extreme ends. The person who likes History sits immediate left to one of the extreme ends. H is facing north direction and sits second to left of the one who likes Quant. C is facing north direction and sits fourth to the right of the one who likes Physics.F and G sits next to each other.The person who likes English sits immediate left of E. I is not an immediate neighbor of the person who likes Geography. The person who likes Chemistry is not an immediate neighbor of G. G and D facing same direction as A facing.Only two person sits between A and E. A sits one of the extreme ends. The person who likes Economics sits at fifth to the left of A. G sits third right to the person who is sitting at one of the extreme ends. B sit at one of the extreme ends and the person who likes Physics sits sixth to right of B.
Who is sitting fourth to the right of the one who likes History?

There are nine people A, B, C, D, E, F, G, H, and I are sitting in a linear table. Some of them facing north and some of them facing south direction but not necessarily in the same order. Each one of them has likes different subjects i.e. Quant, Reasoning, English, Physics, Chemistry, Computer, History, Geography, and Economics.
I is facing north and is sits third to left of the person who likes English.The person who likes Reasoning sits immediate right to one of the extreme ends. The person who likes Quant and Reasoning never sits next to each other. Person who likes Geography and Quant sits at extreme ends. The person who likes History sits immediate left to one of the extreme ends. H is facing north direction and sits second to left of the one who likes Quant. C is facing north direction and sits fourth to the right of the one who likes Physics.F and G sits next to each other.The person who likes English sits immediate left of E. I is not an immediate neighbor of the person who likes Geography. The person who likes Chemistry is not an immediate neighbor of G. G and D facing same direction as A facing.Only two person sits between A and E. A sits one of the extreme ends. The person who likes Economics sits at fifth to the left of A. G sits third right to the person who is sitting at one of the extreme ends. B sit at one of the extreme ends and the person who likes Physics sits sixth to right of B.
Who are the immediate neighbors of the one who likes Computer?