Wednesday, 28 September 2011

PROBLEMS ON SEATING ARRANGEMENT



SEATING ARRANGEMENTS

In this type of questions, some clues regarding seating or placing (linear/ circular)of some persons or items is given. The candidate is required to form the paper sequence using these clues and answer the questions accordingly.

I) Read the following information carefully and answer the
   questions given below:

Six persons A,B,C,D,E and F are sitting in two rows, three in each. E is not at the end of any row D is second to the left of F. C the neighbour of E, is sitting diagonally opposite to D. B is the neighbour of F.

1.    Which of the following are sitting diagonally opposite  
    to each other?

(a) F and C (b) D and A (c) A and C (d) A and F  
(e) A and B

2. Who is facing B?

(a) A (b) C (c) D (d) E (e) F

3. Which of the following are in same row?

(a)A and E (b) E and D (c) C and B (d) A and B
4. Which of the following are in one of the two rows?

(a) FBC (b) CEB (c) DBF (d) AEF (e) ABF

5. After interchanging seat with E, who will be the
   neighbours of D in the new position?

(a) C and A (b) F and B (c) only B (d) only A (e) only C



Solution:

The given information can be analysed as follows:

E is not at end so; E must be in the middle of one of the rows.

D is second to the left of F so, order of rows must be D_F.

C is neighbour of E and is sitting diagonally opposite to D means C is under F in the other row i.e. D _ F _ E C.

B is neighbour of F; s the arrangement must be D B F A E C.

1. Other than D and C, A and F are sitting diagonally
   opposite to each other, as seen in the arrangement. So
   the answer is(d).

2. Clearly, E is opposite to B in the other row. So, E is
   facing B and the answer is (d).

3. Clearly, from amongst the given alternatives, A and E
   are in the same row .So the answer is (a).

4. Clearly, from amongst the given alternatives, D,B and F  
   are in the same row. So, the answer is (c).

5. Clearly, neighbours of E are A and C. So, on
   interchanging the seat with E, the new neighbours of D   
   will be A and C. So the answer is (a).


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II) Eight books are kept one over the other counting from
   the top the second, fifth and sixth books are on plays.   
   Two books on plays are between two books on composition.  
   One book of plays is between two books on poetry. While
   the book at the top of the book of literature is a book
   of composition.

   Which book is fourth from the top?

(a) plays (b) poetry (c) composition (d)literature

Solution:
We analyse the given information as follows :

Let C denote 'composition' , P denote 'plays' , Po denote 'poetry' and L denote 'literature'.
1      2      3     4     5     6     7     8

_    P _     _     P     P     _     _

_      _      _     C     P     P     C     _

Po     P      Po    _     _     _     _     _

_      _      _     _     _     _      C     L


So the arrangement becomes:

1      2      3      4      5      6      7      8

Po     P      Po     C      P      P      C      L

Clearly the fourth book from the top is on composition. So the answer is (c).













III) Read the following information and answer the  
     Questions that follows.

(1)Six friends A, B, C, D, E and F are sitting in a closed  
   circle facing the center.
(2)E is to the left of D.
(3)C is between A and B.
(4)F is between E and A.

1. Who is to the left of B?
(a) A (b) C (c) D (d) E (e) none of these

2. Who is to the right of C?
(a) A (b) B (c) D (d) E (e)F



3. Which of the above given statements is superfluous?
(a) 1 (b) 2 (c) 3  (d) 4 (e) none of these

Solution:
Clearly, in the circle this arrangement is as shown
D
B              E             
C              F
A

1. Clearly, D is the left of B. So the answer is (C)

2. Clearly, A is to the right of C. so the answer is (a).

3. Since all the statements are necessary to determine the  
   arrangement none of them is superfluous. So the answer  
   is (e).

EXERCISE

1.    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?
(a) Reena   (b) Shikha  (c) Manju   (d) Rita

Answer is (d)
Shikha is to the left of Reena and Manju is to her right.
Rita is between Reena and Manju. So the order is Shikha ,Reena , Rita and Manju. In the photograph Rita will be second from left.

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2.    There are five different houses, A to E in a row. A is
   to the right of B and E is to the left of C and right  
   of A. B is to the right of D.

Which of the houses is in the middle?
(a) A (b) B (c) D (d) E

Answer is (a)

B is to the right of D. A is to the right of B. E is to the right of A and left of C. So the order is in the middle.
D, B, A, E, C. Clearly A is in the middle.

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3.    In a march past, seven persons are standing in a row. Q is standing left to R but right to P. O is standing right to N and left to P.Similarly, S is standing right to R and left to T.

Find out who is standing in middle?
(a) P (b) Q (c) R (d) O

Answer is (b)

Q is left to R and to the right of P i.e. P, Q, R.
O is to the right of N and left of P i.e. N, O, P.
S is to the right of R and left of T i.e. R, S, T.
Clearly, Q is in the middle.

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4. Five children are sitting in a row. S is sitting next to
   P but not T. K is sitting next to R who is sitting on   
   extreme left and T is not sitting next to K. Who are
   sitting adjacent to S?
(a) K and P (b) R and P (c) only C     d) P and T    (e)Insufficient

Answer is (d)

S is sitting next to P. So, the order S, P or P, S is followed. K is sitting next to R. So, the order R, K is followed because R is on the extreme left. T is not next to P or K. So, the arrangement will be R, K, P, S, T.
Clearly, P and T are sitting adjacent to S.

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5. Five girls are sitting in a row , Rashi is not adjacent
   to Sulekha or Abha. Anuradha is not adjacent to Sulekha.
   Rashi is adjacent to Monika. Monika is at the middle in
   the row. Then, Anuradha is adjacent to whom out of the
   following ?

(a) Rashi (b) Sulekha (c) Abha (d) Monika

e) Cannot be determined

Answer is (a)

Clearly, the order is

Anuradha, Rashi, Monika, Sulekha Abha.

Anuradha is adjacent to Rashi

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6. Read the following information carefully and answer the  
   questions given below it:

(A)There are five friends
(B)They are standing in a row facing south.
(C)Jayesh is to the immediate right to Alok.
(D)Pramod is between Bhagat and Subodh.
(E)Subodh is between Jayesh and Pramod.



1. Who is at the extreme left end?
  (a) Alok (e) None of these (b) Bhagat (c) Subodh
  (d) Inadequate Data

2. Who is in the middle?
(a) Bhagat (b) Jayesh (c) Pramod (d) Subodh (e)Alok

Solution:

The boys are standing facing south. So, consider left and right accordingly.

Jayesh is to the right of Alok i.e. Jayesh, Alok.

Pramod is between Bhagat and Subodh i.e. Bhagat, Pramod, Subodh

Subodh is between Jayesh and Pramod.
So, the sequence is Bhagat, Pramod,Subodh,Jayesh, Alok,

Answer:

1. (a), Alok is at extreme left end.
2. (d), Subodh is in the middle.

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7. Study the given information carefully and answer the  
  questions that follows.

(1)A, B, C, D, E, F and G are sitting on a wall and all of  
   them are facing east.
(2)C is on the immediate right to D.
(3)B is at an extreme end and has E as his neighbour.
(4)G is between E and F.
(5)D is sitting third from the south end.

1. Who is sitting to the right of E?
(a) A (b) C (c) D (d) F (e) None of these

2. Which of the following pairs of people are sitting at
   The 2extreme ends?
(a) AB (b) AE (c) CB (d) FB (e) Cannot be determined

3. Name the person who should change places with C such
   that he gets the third place from the north end?
(a) E (b) F (c) C (d) G 
4. Immediatly between which of the following pairs of
   People are sitting?
(a) AC (b) AF (c) CE (d) CF (E) None of these



Solution:
C is to the right of D. D is third from south.
So, B will be at the extreme end from north because it should have E as its neighbour.

G is between E and F. SO, the sequence is
B->
E->
G->
F->
East
D->
C->
A->






Answer:

1. (e), G is sitting to the right of E.

2. (a), A and B are sitting at the extreme ends.

3. (C), G should change place with C to make it third from
        north.

4. (d), D is sitting between C and F.


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8. In the Olympic games, the flags of six nations were  
   flown on the masts in the following way:

The flag of America was to the left of Indian tricolor and to the right of the flag of France. The flag of Australia was on the right of the Indian flag but was to the left of the flag of Japan which was to the left of the flag of China.

Find the two flags which are in the center.

(a) India and Australia (c) Japan and Australia
(b) America and India   (d) America and Australia

Solution:

The correct sequence is
France, America, India, Australia, Japan, China.
The two flags in the center are India and Australia.

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9. Mr. A, Miss.B, Mr.C and Miss.D are sitting around
   a table  and discussing their trades.

(1)Mr A sits opposite to cook.
(2)Miss B sits right to the barber.
(3)The washer man is on the left of the tailor.
(4)Miss D sits opposite to Mr C.

What are the trades of A and B?

(a) Tailor and Barber   (c) Barber and Cook
(b) Tailor and Cook      (d) Washer man and Cook.

Solution: (b)

C and D sit opposite to each other .So if A sits opposite to cook, B shall be cook.

Now B is to the right of barber. So, one of the rest say C will be barber, then D. On the opposite side shall be washer man or tailor. But washer man is on the left of tailor and A is to the left of D. So, A is washer man and D is tailor. Thus, A and B are Washer man and Cook.


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10. On the information given below, answer the questions.

(A) P, Q, R, S and T are sitting in a circle facing the
    center.
(B) R is immediate left of T.
(C) P is between S and T.

1. Who is to the immediate left of R?
  (a) P (b) Q (c) S (d) T (e) cannot be determine

2. Which of the Following statements can be dispensed with?

(a) None (b) B only (c) C only (d) B or C only     (Ans) None




Solution:

Solution for 1st and 2nd questions is in the circle the arrangement is as shown:
P
S              T
Q
R
Answer:

1.    (b), Q is to the immediate left of R.
2.    (a) None. All the three statements are essential to find out the answer for the first question so none can be dispensed with.

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11. Six friends A, B, C, D, E and F are sitting in a closed
    Circle facing the center.

A is facing D. C is between A and B. F is between E and A. Who is to the immediate left of B?

(a) A (b) C (c) D (d) E

Answer is (b)
Clearly, in a circle the arrangement is as shown:

A
C              F

B              E

D
So, C is to the immediate left of B hence the answer is (b)


According to my opinion there can be another arrangement based on the given details:

A
F               C

E              B

D


Hence D is the immediate left of B… so the answer could be (c ) as well….



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12. A, B, C, D, E and F are seated in a circle facing the  
    center. C is between F and B.

A is second to the left of D and second to the right of E.

1. Who is facing A?
(a) B (b) D (c) F (d) either F or B (e) None

2. Who among the following is facing D?
(a) A (b) C (c) E (d) cannot be determine (e) None



Solution: Solution for 1st and 2nd questions is
The circular arrangement is as shown

C
A              E

F               B

D
Answer:

1. (a), Clearly B is facing A.
2. (b), C is facing D.

According to me there can be another arrangement as follows:

C
A              E

B              F

D


If so the answer for the first question will be (
d) either F or B





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13. Eight friends A, B, C, D, E, F, G and H are sitting in circle facing the center.

B is sitting between G and D. H is third to the left of B
and second to the right of A. C is sitting between A and G and B and E are not sitting opposite to each other.

1. Who is third to the left of D?
(a) A (b) E (c) F (d) cannot be determine (e) None

2. Which of the following statements is not correct?

(a) C is third to the right of D.
(b) A is sitting between C and F.
(c) D and A are sitting opposite to each other.
(d) E is sitting between F and D.
(e) E and C are sitting opposite to each other

Solution: Solution for the 1st and 2nd question is

B is between G and D i.e. the order is G B D.

H is third to the left of B and second to the right of A.
So, forming a circle we have:

H              A

G              D

B




C is between A and G. But E is not opposite B. So, C is between A and H.
                                          C
                                      H       A
                                    F           E
                                      G      D
                                          B





Answer:
1. (c), F is third to the left of D.

2. (d), Clearly, E is not sitting between F and D.

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14. A group of eight members sit in a circle. D is between
    A and F and is opposite to G.E is to the right of A but  
    on the left of C, whose right hand neighbour is G. B
    enjoys having H to his left and F to his right.

Find the member who is diagonally opposite to A?

(a) B (b) F (c) G(d) H

Answer: (d)




In a circle the arrangement is as shown
                             G
                         H          C

                      B                E

                         F          A

                               D

H is diagonally opposite to A.


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