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 Persons Facing North and South, Linear Arrangement with Persons Facing East and West, Linear Arrangement with Vacant Seats, Linear Arrangement with Blood Relations, 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?
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 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?

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. She is younger than Z and older than only Y.
The one who is an OE is not the youngest among all of them.

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?

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. She 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 Z's degree discipline?


Which one is wrong number in the given series?

Solve the question based on the following given information carefully
Seven persons Ramesh, Ravi, Rakesh, Roshan, Rahul, Ratan and Rishab are sitting in the straight line. Some of them are facing towards the south while some are facing towards the north. Each of them has different ages (in years) viz., 72, 74, 75, 78, 80, 83 and 85 but not necessarily in the same order.
Ratan is facing south and his age is the multiple of 5. Ramesh is facing in north and sits second to the right of both Roshan and Rakesh. Rahul is facing south and he is youngest. Difference between the age of Ramesh and Rishab is 4 and also both are immediate neighbors of each other. Difference between the ages of Ravi and Rakesh is 10. The person who is oldest among all, doesn’t sit at an extreme end of the line. Ravi is an immediate neighbor of Roshan but not an immediate neighbor of Ramesh. Rahul and Rakesh don’t sit at an extreme end of the line. The immediate neighbors of Roshan are facing in opposite directions. The second eldest and youngest person is next to each other. The difference between the ages of Rakesh and the person who sits immediate right of Rakesh is at least 10.The sum of the ages of the person who sits at right end of the row and his neighbor is at least 160. Not more than two consecutive persons are facing the same direction.
Question: What is the position of Roshan with respect to the one whose age is 74 years?

Solve the question based on the following given information carefully
Seven persons Ramesh, Ravi, Rakesh, Roshan, Rahul, Ratan and Rishab are sitting in the straight line. Some of them are facing towards the south while some are facing towards the north. Each of them has different ages (in years) viz., 72, 74, 75, 78, 80, 83 and 85 but not necessarily in the same order.
Ratan is facing south and his age is the multiple of 5. Ramesh is facing in north and sits second to the right of both Roshan and Rakesh. Rahul is facing south and he is youngest. Difference between the age of Ramesh and Rishab is 4 and also both are immediate neighbors of each other. Difference between the ages of Ravi and Rakesh is 10. The person who is oldest among all, doesn’t sit at an extreme end of the line. Ravi is an immediate neighbor of Roshan but not an immediate neighbor of Ramesh. Rahul and Rakesh don’t sit at an extreme end of the line. The immediate neighbors of Roshan are facing in opposite directions. The second eldest and youngest person is next to each other. The difference between the ages of Rakesh and the person who sits immediate right of Rakesh is at least 10.The sum of the ages of the person who sits at right end of the row and his neighbor is at least 160. Not more than two consecutive persons are facing the same direction.
Question: What is the total age of Rakesh, Roshan and the person who sits extreme left end of the row?

Solve the question based on the following given information carefully
Seven persons Ramesh, Ravi, Rakesh, Roshan, Rahul, Ratan and Rishab are sitting in the straight line. Some of them are facing towards the south while some are facing towards the north. Each of them has different ages (in years) viz., 72, 74, 75, 78, 80, 83 and 85 but not necessarily in the same order.
Ratan is facing south and his age is the multiple of 5. Ramesh is facing in north and sits second to the right of both Roshan and Rakesh. Rahul is facing south and he is youngest. Difference between the age of Ramesh and Rishab is 4 and also both are immediate neighbors of each other. Difference between the ages of Ravi and Rakesh is 10. The person who is oldest among all, doesn’t sit at an extreme end of the line. Ravi is an immediate neighbor of Roshan but not an immediate neighbor of Ramesh. Rahul and Rakesh don’t sit at an extreme end of the line. The immediate neighbors of Roshan are facing in opposite directions. The second eldest and youngest person is next to each other. The difference between the ages of Rakesh and the person who sits immediate right of Rakesh is at least 10.The sum of the ages of the person who sits at right end of the row and his neighbor is at least 160. Not more than two consecutive persons are facing the same direction.
Question: What is the difference between the age of the person who sits in the middle of the line and the one who sits immediate right of Ravi?

Solve the question based on the following given information carefully
Seven persons Ramesh, Ravi, Rakesh, Roshan, Rahul, Ratan and Rishab are sitting in the straight line. Some of them are facing towards the south while some are facing towards the north. Each of them has different ages (in years) viz., 72, 74, 75, 78, 80, 83 and 85 but not necessarily in the same order.
Ratan is facing south and his age is the multiple of 5. Ramesh is facing in north and sits second to the right of both Roshan and Rakesh. Rahul is facing south and he is youngest. Difference between the age of Ramesh and Rishab is 4 and also both are immediate neighbors of each other. Difference between the ages of Ravi and Rakesh is 10. The person who is oldest among all, doesn’t sit at an extreme end of the line. Ravi is an immediate neighbor of Roshan but not an immediate neighbor of Ramesh. Rahul and Rakesh don’t sit at an extreme end of the line. The immediate neighbors of Roshan are facing in opposite directions. The second eldest and youngest person is next to each other. The difference between the ages of Rakesh and the person who sits immediate right of Rakesh is at least 10.The sum of the ages of the person who sits at right end of the row and his neighbor is at least 160. Not more than two consecutive persons are facing the same direction.
Question: How many persons are between Rishab and the one who sits immediate right of Roshan?

Solve the question based on the following given information carefully
Nine people Q, G, L, M, J, R, K, N and I are sitting in a row. Some of them are facing in North while some are facing in South direction. Persons face in opposite direction means (If one faces south, the other faces north and vice versa). Their age lies in between 35-65 years old. None of them has same age.
R sits in the middle of the row, and one person sits between N and R. Q sits second to the left of N, and faces in opposite direction with respect to both R and N. G and L are immediate neighbors of each other and one of them sits at any extreme end of row and both face same direction with respect to Q. Number of persons sitting between L and R is same as in between I and R. One person sits between I and the one whose age is a perfect square of a number which is more than 6. M and J are immediate neighbors of each other and difference between both of their ages is 1 and the age of one of them is a perfect square of a number which is more than 5. Number of persons sitting between the one whose age is 37 years and one who is sitting to the immediate right of R, is one more than number of persons sitting between G and M. The age of immediate neighbors of R is a perfect square number. M, who is 48 years old, sits third to the left of K. The person who is 55 years old sits sixth to right of L. Q’s age is 10 years less than his neighbor and I faces in opposite direction with respect to both M and N. R is 3 years older than J. Difference between the ages of N and L is 5 years and L is older than N, who is 2 years younger than I. Not more than 3 persons are facing in south direction and G is the youngest among all nine members.
Question: Which group represents the group of people facing in south direction?

Solve the question based on the following given information carefully
Nine people Q, G, L, M, J, R, K, N and I are sitting in a row. Some of them are facing in North while some are facing in South direction. Persons face in opposite direction means (If one faces south, the other faces north and vice versa). Their age lies in between 35-65 years old. None of them has same age.
R sits in the middle of the row, and one person sits between N and R. Q sits second to the left of N, and faces in opposite direction with respect to both R and N. G and L are immediate neighbors of each other and one of them sits at any extreme end of row and both face same direction with respect to Q. Number of persons sitting between L and R is same as in between I and R. One person sits between I and the one whose age is a perfect square of a number which is more than 6. M and J are immediate neighbors of each other and difference between both of their ages is 1 and the age of one of them is a perfect square of a number which is more than 5. Number of persons sitting between the one whose age is 37 years and one who is sitting to the immediate right of R, is one more than number of persons sitting between G and M. The age of immediate neighbors of R is a perfect square number. M, who is 48 years old, sits third to the left of K. The person who is 55 years old sits sixth to right of L. Q’s age is 10 years less than his neighbor and I faces in opposite direction with respect to both M and N. R is 3 years older than J. Difference between the ages of N and L is 5 years and L is older than N, who is 2 years younger than I. Not more than 3 persons are facing in south direction and G is the youngest among all nine members.
Question: If L is related to J and N is related to Q in a certain way, then following same pattern K is related to whom?

Solve the question based on the following given information carefully
Nine people Q, G, L, M, J, R, K, N and I are sitting in a row. Some of them are facing in North while some are facing in South direction. Persons face in opposite direction means (If one faces south, the other faces north and vice versa). Their age lies in between 35-65 years old. None of them has same age.
R sits in the middle of the row, and one person sits between N and R. Q sits second to the left of N, and faces in opposite direction with respect to both R and N. G and L are immediate neighbors of each other and one of them sits at any extreme end of row and both face same direction with respect to Q. Number of persons sitting between L and R is same as in between I and R. One person sits between I and the one whose age is a perfect square of a number which is more than 6. M and J are immediate neighbors of each other and difference between both of their ages is 1 and the age of one of them is a perfect square of a number which is more than 5. Number of persons sitting between the one whose age is 37 years and one who is sitting to the immediate right of R, is one more than number of persons sitting between G and M. The age of immediate neighbors of R is a perfect square number. M, who is 48 years old, sits third to the left of K. The person who is 55 years old sits sixth to right of L. Q’s age is 10 years less than his neighbor and I faces in opposite direction with respect to both M and N. R is 3 years older than J. Difference between the ages of N and L is 5 years and L is older than N, who is 2 years younger than I. Not more than 3 persons are facing in south direction and G is the youngest among all nine members.
Question: How many persons are sitting between I and M?

Solve the question based on the following given information carefully
Nine people Q, G, L, M, J, R, K, N and I are sitting in a row. Some of them are facing in North while some are facing in South direction. Persons face in opposite direction means (If one faces south, the other faces north and vice versa). Their age lies in between 35-65 years old. None of them has same age.
R sits in the middle of the row, and one person sits between N and R. Q sits second to the left of N, and faces in opposite direction with respect to both R and N. G and L are immediate neighbors of each other and one of them sits at any extreme end of row and both face same direction with respect to Q. Number of persons sitting between L and R is same as in between I and R. One person sits between I and the one whose age is a perfect square of a number which is more than 6. M and J are immediate neighbors of each other and difference between both of their ages is 1 and the age of one of them is a perfect square of a number which is more than 5. Number of persons sitting between the one whose age is 37 years and one who is sitting to the immediate right of R, is one more than number of persons sitting between G and M. The age of immediate neighbors of R is a perfect square number. M, who is 48 years old, sits third to the left of K. The person who is 55 years old sits sixth to right of L. Q’s age is 10 years less than his neighbor and I faces in opposite direction with respect to both M and N. R is 3 years older than J. Difference between the ages of N and L is 5 years and L is older than N, who is 2 years younger than I. Not more than 3 persons are facing in south direction and G is the youngest among all nine members.
Question: Which group represents the people whose age is a perfect square number?

The information is given. Read and answer the question that follows.
There are 14 people from A to N as in alphabetical series were sitting in 2 rows, 7 in each. There is an equal number of boys and girls. Boys are sitting in one row and girls in another. Boys face south and girls face north. The person sitting in row 1 exactly faces the person sitting in row 2. They sit based on their ranks of JEE from right to left in each row in increasing order of their ranks (i.e. 1st rank at the right end of the row to 7th rank at the left end of the row).
Note: There are 1-7 ranks in the row facing north and 1-7 ranks in the row facing south.
Four couples are sitting opposite each other; AB, EF, IJ, and MN. A secured 1st among boys and M came last among boys.
E and I came 3rd and 5th among boys while 2nd and 6th were secured by L and D among girls. C sits next to A and H sits next to J. K came last but one.
Who sits second to the right of F?

The information is given. Read and answer the question that follows.
There are 14 people from A to N as in alphabetical series were sitting in 2 rows, 7 in each. There is an equal number of boys and girls. Boys are sitting in one row and girls in another. Boys face south and girls face north. The person sitting in row 1 exactly faces the person sitting in row 2. They sit based on their ranks of JEE from right to left in each row in increasing order of their ranks (i.e. 1st rank at the right end of the row to 7th rank at the left end of the row).
Note: There are 1-7 ranks in the row facing north and 1-7 ranks in the row facing south.
Four couples are sitting opposite each other; AB, EF, IJ, and MN. A secured 1st among boys and M came last among boys.
E and I came 3rd and 5th among boys while 2nd and 6th were secured by L and D among girls. C sits next to A and H sits next to J. K came last but one.
Which of the following pair of persons are opposite to each other?

The information is given. Read and answer the question that follows.
There are 14 people from A to N as in alphabetical series were sitting in 2 rows, 7 in each. There is an equal number of boys and girls. Boys are sitting in one row and girls in another. Boys face south and girls face north. The person sitting in row 1 exactly faces the person sitting in row 2. They sit based on their ranks of JEE from right to left in each row in increasing order of their ranks (i.e. 1st rank at the right end of the row to 7th rank at the left end of the row).
Note: There are 1-7 ranks in the row facing north and 1-7 ranks in the row facing south.
Four couples are sitting opposite each other; AB, EF, IJ, and MN. A secured 1st among boys and M came last among boys.
E and I came 3rd and 5th among boys while 2nd and 6th were secured by L and D among girls. C sits next to A and H sits next to J. K came last but one.
Who is sitting right of J and is also opposite to H?

The information is given. Read and answer the question that follows.
There are 14 people from A to N as in alphabetical series were sitting in 2 rows, 7 in each. There is an equal number of boys and girls. Boys are sitting in one row and girls in another. Boys face south and girls face north. The person sitting in row 1 exactly faces the person sitting in row 2. They sit based on their ranks of JEE from right to left in each row in increasing order of their ranks (i.e. 1st rank at the right end of the row to 7th rank at the left end of the row).
Note: There are 1-7 ranks in the row facing north and 1-7 ranks in the row facing south.
Four couples are sitting opposite each other; AB, EF, IJ, and MN. A secured 1st among boys and M came last among boys.
E and I came 3rd and 5th among boys while 2nd and 6th were secured by L and D among girls. C sits next to A and H sits next to J. K came last but one.
Who sits second to the right of the one who sits opposite to H?
