CRE 1 - Linear Arrangement | LR - Arrangements

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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).

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). 

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).

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).

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).

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).

Answer: Option E

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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

P lives below S and likes Poha or Jalebi. 

Hence, option (e).

Answer: Option B

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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

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

Hence, option (b).