# CRE 1 - Linear Arrangement | LR - Arrangements

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**Answer the next 5 questions based on the information given below.**

9 people - A to I - are seated in a row, facing the north. E sits at the centre. F and I sit on the corner seats. H is equidistant from both I and E. D sits three places to the right of E. A is two places to the left of D and next to H. G is between B and C and out of B and C, C is closer to E.

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who is the third person from the right end?

- (a)
B

- (b)
C

- (c)
A

- (d)
G

- (e)
H

Answer: Option E

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**Explanation** :

Let the seats be __ 1 __ __ 2 __ __ 3 __ __ 4 __ __ 5 __ __ 6 __ __ 7 __ __ 8 __ __ 9 __

E is at the centre and D is three places to the right of E. i.e. 1 2 3 4 E 6 7 D 9 .

A is two places to the left of D, and is next to H. i.e. 1 2 3 4 E A H D 9 .

H is equidistant from I and E. Since there is one person between H and E, there should also be one person between H and I. i.e. 1 2 3 4 E A H D I .

Also, F and I are at the corners. i.e. F 2 3 4 E A H D I .

G is between B and C such that C is closer to E. i.e. F B G C E A H D I .

Thus, the final arrangement is: **F B G C E A H D I.**

Thus, H is third from the right end.

Hence, option (e).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

How many people are sitting between E and D?

- (a)
2

- (b)
4

- (c)
3

- (d)
1

- (e)
0

Answer: Option A

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **F B G C E A H D I**.

There are two people (AH) between E and D.

Hence, option (a).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who are the immediate neighbours of H?

- (a)
A and C

- (b)
H and C

- (c)
A and D

- (d)
G and H

- (e)
None of these

Answer: Option C

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **F B G C E A H D I.**

A and D are the immediate neighbours of H.

Hence, option (c).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Which of the following pairs is not sitting next to each other?

- (a)
D and H

- (b)
B and F

- (c)
A and B

- (d)
I and D

- (e)
C and E

Answer: Option C

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **F B G C E A H D I.**

Among the given pairs, only A and B are not sitting next to each other.

Hence, option (c).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

The positions of H and B are interchanged, and so are the positions of E and F. Who is now sitting between C and H?

- (a)
A

- (b)
I

- (c)
H

- (d)
D

- (e)
G

Answer: Option E

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**Explanation** :

Consider the solution to the first question of this set.

The new arrangement, after required interchange of positions is : **E H G C F A B D I**

Hence, G is sitting between C and H.

Hence, option (e).

Workspace:

**Answer the next 5 questions based on the information given below.**

P, Q, R, S, T, U and V are sitting on a bench, facing North. S is third from the right end. T and U are the neighbours of V. Q is at an extreme and T is his neighbour. R is to the immediate right of S.

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who is fourth from the left?

- (a)
R

- (b)
T

- (c)
S

- (d)
U

- (e)
V

Answer: Option D

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**Explanation** :

If people face north, they can be numbered 1-7 (from left to right): 1 2 3 4 5 6 7

S is third from the right and R is to the immediate right of S i.e. 1 2 3 4 S R 7

Q is at an extreme and T is his neighbour. Since QT have to be together, Q T 3 4 S R 7

T and U are the neighbours of V. Hence, Q T V U S R 7

Hence, P takes the only remaining places i.e. Q T V U S R P

The final arrangement is: Q T V U S R P .

Thus, U is fourth from left.

Hence, option (d).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Between which of the following pair of people is S sitting?

- (a)
P and R

- (b)
R and U

- (c)
V and Q

- (d)
R and V

- (e)
None of these

Answer: Option B

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **Q T V U S R P**

S is sitting between R and U.

Hence, option (b).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

With whom should R interchange places to be third from the left?

- (a)
V

- (b)
T

- (c)
S

- (d)
U

- (e)
Q

Answer: Option A

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **Q T V U S R P**.

Since V is originally third from the left, R should interchange places with V.

Hence, option (a).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Which of the following pair of people is sitting at the extreme ends?

- (a)
RU

- (b)
PV

- (c)
QU

- (d)
PQ

- (e)
UV

Answer: Option D

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **Q T V U S R P**.

P and Q sit at the extreme ends.

Hence, option (d).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who is sitting to the immediate left of U?

- (a)
Q

- (b)
P

- (c)
S

- (d)
V

- (e)
R

Answer: Option D

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **Q T V U S R P**.

V is to the immediate left of U.

Hence, option (d).

Workspace:

**Answer the next 5 questions based on the information given below.**

Seven friends sit on a bench, facing south, in a straight line.

- B and F sit next to each other.
- E and G have the same number of people between them as B and D have.
- C sits on one of the corner seats.
- B is to the immediate left of G.
- A sits two places to the left of C.
- G sits in the middle.

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who is the second person from the right end?

- (a)
F

- (b)
D

- (c)
B

- (d)
E

- (e)
Can't be determined

Answer: Option E

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**Explanation** :

Let the seats be: 1 2 3 4 5 6 7 .

G sits in the middle i.e. 1 2 3 G 5 6 7 .

Since the people face south, the interpretation of left and right gets reversed.

Since B is to the immediate left of G, i.e. 1 2 3 G B 6 7 .

Also, B and F sit next to each other i.e. 1 2 3 G B F 7 .

C is at one of the corners i.e. C = 1 or 7. A is two places to the left of C. Since C faces south, C is at the extreme right i.e. C = 1 and A = 3

i.e. C 2 A G B F 7 .

E and G have the same number of people between them as B and D have. This is satisfied in both cases, i.e. when E = 2 and D = 7 or when E = 7 and D = 2.

**Case 1**: C E A G B F D (1 person between the pairs)

**Case 2**: C D A G B F E (2 people between the pairs).

Hence, the final arrangement is: C D/E A G B F E/D

Since they are facing south, right end of the line is where C is.

∴ Second person from right end could be D or E.

Hence, option (e).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who are the immediate neighbours of G?

- (a)
A and B

- (b)
F and G

- (c)
G and D

- (d)
F and D

- (e)
None of these

Answer: Option A

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **C D/E A G B F E/D **

A and B are the immediate neighbours of G.

Hence, option (a).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who is sitting at the extreme right?

- (a)
C

- (b)
E

- (c)
D

- (d)
F

- (e)
Can't be determined

Answer: Option A

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **C D/E A G B F E/D **

Looking south, the extreme right corresponds to seat 1.

C is sitting on this seat.

Hence, option (a).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

How many people are sitting between A and E?

- (a)
0

- (b)
1

- (c)
2

- (d)
3

- (e)
Can't be determined

Answer: Option E

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **C D/E A G B F E/D **

Since the position of E is not known, the number of people between A and E can’t be determined.

Depending on where E is, the number of people will be zero or three.

Hence, option (e).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

The position of how many people can be determined.

- (a)
3

- (b)
4

- (c)
5

- (d)
6

- (e)
7

Answer: Option C

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**Explanation** :

Consider the solution to the first question of this set.

The final arrangement is: **C D/E A G B F E/D **

Except for D and E, positions of others can be determined i.e of 5 people.

Hence, option (c).

Workspace:

**Answer the next 5 questions based on the information given below.**

Eight people – P, Q, R, S, T, U, V and W - live on different floors of an eight-storeyed building, such that the lowest floor is numbered 1 while the top floor is numbered 8. Each person likes a different dish - Rasgulla, Dhokla, Rasam, Vada, Poha, Uttapam, Dosa and Jalebi - not necessarily in the same order.

- R likes Dosa and lives on the seventh floor.
- S does not like Rasam.
- Exactly one person lives between the person who likes Rasam and P.
- P lives immediately above the person who likes Vada.
- U lives immediately below the person who lives on the third floor.
- Exactly one person lives between T and the person who likes Dhokla.
- W lives on an odd numbered floor immediately above S and likes Uttapam.
- T does not live on the topmost floor.
- Q lives on an odd numbered floor
- The person who likes Rasgulla lives on an even numbered floor below the fifth floor.

**CRE 1 - Linear Arrangement | LR - Arrangements**

The person who lives exactly between V and T likes which dish?

- (a)
Vada

- (b)
Rasam

- (c)
Poha

- (d)
Dosa

- (e)
Dhokla

Answer: Option D

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**Explanation** :

U lives immediately above the person on the first floor. Hence, U lives on 2nd floor. R likes Dosa and lives on 7th floor.

8

7 - R - Dosa

6

5

4

3

2 - U - ?

1

W likes Uttapam and lives on an odd numbered floor. Hence, W = 5/3/1. Since W is on the floor immediately above S, W ≠ 1 and 3.

Hence, W likes Uttapam and lives on 5th floor and S lives on 4th floor.

8

7 - R - Dosa

6

5 - W - Uttapam

4 - S - ?

3

2 - U - ?

1

The person who likes Vada lives immediately below P. Hence, the only place left for P is 3rd floor such that the person who likes Vada would live on 2nd floor.

8

7 - R - Dosa

6

5 - W - Uttapam

4 - S - ?

3 - P - ?

2 - U - Vada

1

Q is on an odd numbered floor. The only odd numbered floor left is 1st floor. Hence, Q lives on 1st floor.

The person who likes Rasgulla lives on an even numbered floor below the fifth floor. This can only be 4th floor.

8

7 - R - Dosa

6

5 - W - Uttapam

4 - S - Rasgulla

3 - P - ?

2 - U - Vada

1 - Q - ?

Since T is not on the top floor, T will have to live on 6th floor and V will live on 8th floor.

Also, exactly one person lives between T and the person who likes Dhokla. Since T = floor 6, the person who likes Dhokla has to live on 8th floor.

Similarly, since one person stays between P and the person who likes Rasam, he/she has to be on 1st floor.

Hence, the remaining floors (6 and 3) are occupied by the people who like Poha and Jalebi, in no specific order. Thus, the final arrangement is:

**8 - V - Dhokla
7 - R - Dosa
6 - T - Poha/Jalebi
5 - W - Uttapam
4 - S - Rasgulla
3 - P - Jalebi/Poha
2 - U - Vada
1 - Q - Rasam**

Thus, R stays between V and T, and likes Dosa.

Hence, option (d).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Who likes Rasam?

- (a)
V

- (b)
S

- (c)
Q

- (d)
T

- (e)
None of these

Answer: Option C

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**Explanation** :

Consider the solution to the first question of this set.

**8 - V - Dhokla
7 - R - Dosa
6 - T - Poha/Jalebi
5 - W - Uttapam
4 - S - Rasgulla
3 - P - Jalebi/Poha
2 - U - Vada
1 - Q - Rasam**

Q likes Rasam.

Hence, option (c).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Four of the following five are alike and hence form a group. Which of the following does not belong to the group?

- (a)
VR

- (b)
SP

- (c)
PU

- (d)
QU

- (e)
TW

Answer: Option D

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**Explanation** :

Consider the solution to the first question of this set.

**8 - V - Dhokla
7 - R - Dosa
6 - T - Poha/Jalebi
5 - W - Uttapam
4 - S - Rasgulla
3 - P - Jalebi/Poha
2 - U - Vada
1 - Q - Rasam**

Apart from QU, each pair has the first person living exactly one floor above the second person. In QU, Q lives exactly one floor below U.

Hence, option (d).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

Which dish does the person living below S like?

- (a)
Jalebi

- (b)
Poha

- (c)
Dhokla

- (d)
Rasgulla

- (e)
Can't be determined

Answer: Option E

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**Explanation** :

Consider the solution to the first question of this set.

7 - R - Dosa

6 - T - Poha/Jalebi

5 - W - Uttapam

4 - S - Rasgulla

3 - P - Jalebi/Poha

2 - U - Vada

1 - Q - Rasam

P lives below S and likes Poha or Jalebi.

Hence, option (e).

Workspace:

**CRE 1 - Linear Arrangement | LR - Arrangements**

How many people live above V?

- (a)
1

- (b)
0

- (c)
3

- (d)
2

- (e)
Can't be determined

Answer: Option B

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**Explanation** :

Consider the solution to the first question of this set.

7 - R - Dosa

6 - T - Poha/Jalebi

5 - W - Uttapam

4 - S - Rasgulla

3 - P - Jalebi/Poha

2 - U - Vada

1 - Q - Rasam

V lives on the top floor. Hence, no one lives above V.

Hence, option (b).

Workspace:

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