Seating Arrangement Chapter 11 exercise 11A CA Foundation maths Solution

Solutions for CA Foundation maths Seating Arrangement Exercise Chapter 11.
You should study the textbook lesson Seating Arrangement very well.
You should observe and practice all example problems and solutions which are given in the textbook.

CA foundation maths solution

Solutions seating arrangement CA foundation maths

CA foundation maths solution
Chapter 11
Exercise 11A
Seating Arrangement

Problem

1. Five boys A, B, C, D and E are sitting in a row, A is to the right of B and E is to the left of B but to the right of C, A is to the left of D, who is second from the left end?

Solution:

Five boys A, B, C, D and E are sitting in a row, A is to the right of B and E is to the left of B but to the right of C, A is to the left of D.
From that, we get seating arrangement as C – E – B – A – D
Therefore, E is second from left.

Problem

2. There are five different houses, A to E in a row, A is to the left 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?

Solution:

There are five different houses, A to E in a row, A is to the left right of B and E is to the left of C and right of A, B is to the right of D.
From that, we get the arrangement as D B A E C
Therefore, A is the house in the middle.

Problem

3. Five friends P, Q, R, S and T are sitting in a row facing North. Here, S is between T and Q and Q is to the immediate left of R, P is to the immediate left of T, who is in the middle?

Solution:

Five friends P, Q, R, S and T are sitting in a row facing North. Here, S is between T and Q and Q is to the immediate left of R, P is to the immediate left of T.
From that, we get the arrangement as P – T – S – Q – R.
Therefore, S is in the middle.

Problem:

4.Six children A, B, C, D, E and F are standing in a row. B is between F and D. E is between A and C. A does not stand next to right F or D. C does not stand next to D. F is between which of the following pairs of children.

Solution:

Six children A, B, C, D, E and F are standing in a row. B is between F and D. E is between A and C. A does not stand next to right F or D. C does not stand next to D
From that, we get the arrangement as A – E – C – F – B – D.
Therefore, F is between C and B.

Problem

5. There are eight books kept one over the other. Two books are on Organisation Behaviour, two books on TQM, three books on Industrial Relations and one book is on Economics. Counting from the top, the second, fifth and sixth books are on Industrial Relations. Two books on Industrial Relations are between two books on TQM. One book of Industrial Relations is between two books on Organisational Behaviour while the book above of Economics is a book of TQM, which book is the last book from the top?

Solution:

Let we have to stock of books on one other
From the given information the books are arranged as following
1. Organisation Behaviour
2. Industrial Relations
3. Organisation Behaviour
4. TQM
5. Industrial Relations
6. Industrial Relations
7. TQM
8. Economics
Therefore, Economics book is the last from top.

Problem:

6. Five boys are standing in a row facing East Pavan is left of Tavan, Vipin and Chavan to left of Nakul. Chavan is between Tavan and Vipin. Vipin is fourth from the left, then how far is Tavan to the right.

Solution:

Five boys are standing in a row facing East Pavan is left of Tavan, Vipin and Chavan to left of Nakul. Chavan is between Tavan and Vipin.
From the information, we get the arrangement as following
Pavan – Tavan – Chavan – Vipin – Nakul

Problem

7. Six persons M, N, O, P, Q, and R are sitting in two rows with three persons in each row. Both the rows are in front of each other. Q is not at the end of any row. P is second the lefty of R. O is the neighbour of Q and diagonally opposite to P. N is the neighbour of R. Who is in front of N?

Solution:

Six persons M, N, O, P, Q, and R are sitting in two rows with three persons in each row. Both the rows are in front of each other. Q is not at the end of any row. P is second the lefty of R. O is the neighbour of Q and diagonally opposite to P.
From the information, we get the arrangement as following
M – Q – O – P – N – R
Therefore, Q is in front of N.

Problem:

8. Six persons A, B, C, D, E and F are sitting in two rows, three in each row (i) E is not at the end of any row (ii) D is second to the left of F (iii) C, the neighbour of E, is sitting diagonally opposite (iv) B is neighbour of F. Which of the following are in one of the two rows?

Solution:

Six persons A, B, C, D, E and F are sitting in two rows, three in each row (i) E is not at the end of any row (ii) D is second to the left of F (iii) C, the neighbour of E, is sitting diagonally opposite (iv) B is neighbour of F.
From that We get the arrangement as follows
A – E – C
D – B – F
Therefore, D, B and F on one side of rows.

Problem

9. Read the following information carefully and answer that questions that follows. Five boys A1, A2, A3, A4 and A5 are sitting in a stair in the following way
I. A5 is above A1
II. A4 is under A2
III. A2 is under A1
IV. A4 is between A2 and A3
Who is at the lowest position of the stair?

Solution:

From the given information, we get the seating arrangement of five boys on the staircase as follows
A5
A1
A2
A4
A3
Therefore, A3 is the lowest position of the stair.

Problem

10. 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 the extreme left and T is not sitting next to K. Who is/are adjacent to S?

Solution:

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 the extreme left and T is not sitting next to K.
From that information, we get the arrangement as follows
R – K – S – P – T
Therefore, K and P are adjacent to S.

Problem

11. Five senior citizens are living in a multi-storeyed building Mr. Moan lives in a flat above Mr. Ashokan, Mr. Lokesh in a flat below Mr. Gourav, Mr. Ashokan lives in a flat below Mr. Gourav and Mr. Rakesh lives in a flat below Mr. Lokesh. Who lives in the topmost flat?

Solution:

Five senior citizens are living in a multi-storeyed building Mr. Moan lives in a flat above Mr. Ashokan, Mr. Lokesh in a flat below Mr. Gourav, Mr. Ashokan lives in a flat below Mr. Gourav and Mr. Rakesh lives in a flat below Mr. Lokesh.

Solution

From that information, we get the arrangement of names of persons of flat in the building as follows
Moan
Gaurav
Rakesh
Lokesh
Ashokan
Therefore, Mr. Moan lives in the topmost flat.

Problem

12.In a gathering seven members in a row. C is sitting left to B, but on the right to D. A is sitting right to B, F is sitting right to E but left to D, H is sitting left to E. Find the person sitting in the middle?

Solution:

In a gathering seven members in a row. C is sitting left to B, but on the right to D. A is sitting right to B, F is sitting right to E but left to D, H is sitting left to E.
From that information, we get the arrangement as follows
H – E – F – D – C – B – A
Therefore, the person D is sitting in the middle.

Problem

13. Study the following information carefully to answer the given questions. A to H are seated in straight line facing North. C sits fourth left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not neighbour of D. Who amongst the following sits exactly in the middle of the persons who sit fifth from the left and the person who sit sixth from the right?

Solution:

From the given information, we get seating arrangement as follows
H – C – B – F – A – G – E – D
Therefore, F sits exactly in the middle of the persons who sit fifth from the left and the person who sit sixth from the right.

Problem

14. Study the following information carefully to answer the given questions. A to H are seated in straight line facing North. C sits fourth left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not neighbour of D. Who amongst the following sits third to the right of C?

Solution:

From the given information, we get seating arrangement as follows
H – C – B – F – A – G – E – D
Therefore, A sits third to the right of C.

Problem

15. Study the following information carefully to answer the given questions. A to H are seated in straight line facing North. C sits fourth left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not neighbour of D. Which of the following represents persons seated at the two extreme ends of the line?

Solution:

From the given information, we get seating arrangement as follows
H – C – B – F – A – G – E – D
Therefore, D and H are the two persons seated at the two extreme ends of the line.

Problem

16. Study the following information carefully to answer the given questions. A to H are seated in straight line facing North. C sits fourth left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not neighbour of D. What is the position of H with respect to F?

Solution:

From the given information, we get seating arrangement as follows
H – C – B – F – A – G – E – D
Therefore, the position of H with respect to F is third to the left.

Problem

17. Study the following information carefully to answer the given questions. A to H are seated in straight line facing North. C sits fourth left of G. D sits second to right of G. Only two people sit between D and A. B and F are immediate neighbours of each other. B is not an immediate neighbour of A. H is not neighbour of D.How many persons are seated between A and E?

Solution:

From the given information, we get seating arrangement as follows
H – C – B – F – A – G – E – D
Therefore, One person is seated between A and E.

Problem

18. Study the following information carefully to answer the given questions.
Ten students are A to J are sitting in a row facing west.
i. B and F are not sitting on either of the edges.
ii. G is sitting left of D and H is sitting to the right of J.
iii. There are four persons between E and A.
iv. I is the north of B and F is south of D.
v. J is between A and D and G is in in E and F.
vi. There are two persons between H and C.
Who is sitting at the seventh place counting from left?

Solution

From the given information, we get the arrangements of ten students will be either
H – I – B – C – A – J – D – F – G – E or
C – I – B – H – A – J – D – F – G – E
Therefore, Either of H or C is sitting at the seventh place counting from left.

Problem

19.Study the following information carefully to answer the given questions.
Ten students are A to J are sitting in a row facing west.
i. B and F are not sitting on either of the edges.
ii. G is sitting left of D and H is sitting to the right of J.
iii. There are four persons between E and A.
iv. I is the north of B and F is south of D.
v. J is between A and D and G is in in E and F.
vi. There are two persons between H and C.
Who among the following is definitely sitting at one of the ends?

Solution :

From the given information, we get the arrangements of ten students will be either
H – I – B – C – A – J – D – F – G – E or
C – I – B – H – A – J – D – F – G – E
Therefore, E is definitely sitting at one of the ends.

Problem

20. Study the following information carefully to answer the given questions.
Ten students are A to J are sitting in a row facing west.
i. B and F are not sitting on either of the edges.
ii. G is sitting left of D and H is sitting to the right of J.
iii. There are four persons between E and A.
iv. I is the north of B and F is south of D.
v. J is between A and D and G is in in E and F.
vi. There are two persons between H and C.
Who are immediate neighbours of I?

Solution:

From the given information, we get the arrangements of ten students will be either
H – I – B – C – A – J – D – F – G – E or
C – I – B – H – A – J – D – F – G – E
Therefore, in the first arrangement it is BH while in second arrangement it is BC.

Problem

21. Study the following information carefully to answer the given questions.
Ten students are A to J are sitting in a row facing west.
i. B and F are not sitting on either of the edges.
ii. G is sitting left of D and H is sitting to the right of J.
iii. There are four persons between E and A.
iv. I is the north of B and F is south of D.
v. J is between A and D and G is in in E and F.
vi. There are two persons between H and C.
Who is sitting second left of D?

Solution:

From the given information, we get the arrangements of ten students will be either
H – I – B – C – A – J – D – F – G – E or
C – I – B – H – A – J – D – F – G – E
Therefore, G is sitting second left of D.

Problem

22. Study the following information carefully to answer the given questions.
Ten students are A to J are sitting in a row facing west.
i. B and F are not sitting on either of the edges.
ii. G is sitting left of D and H is sitting to the right of J.
iii. There are four persons between E and A.
iv. I is the north of B and F is south of D.
v. J is between A and D and G is in in E and F.
vi. There are two persons between H and C.
If G and A interchanging their positions, then who become the immediate neighbour of E?

Solution:

From the given information, we get the arrangements of ten students will be either
H – I – B – C – A – J – D – F – G – E or
C – I – B – H – A – J – D – F – G – E
Let G and A interchange their positions.
Therefore, Only A will become the immediate neighbour of E.

Problem

23. Read the following information carefully and then answer the questions that follow.
A group of singers, facing audience are standing in a line on the stage as follows
i. D is not right to C
ii. F is not standing beside G
iii. B is not left of F
iv. E is not left of A
v. C and B have one person between D and F
vi. A and D have one person between them
Who is on the second extreme right?

Solution:

From the given information, we get the arrangement of singers as follows
A – D – H – F – B – C – E – G
Therefore, the person E is at second from left.

Problem

24. Read the following information carefully and then answer the questions that follow.
A group of singers, facing audience are standing in a line on the stage as follows
i. D is not right to C
ii. F is not standing beside G
iii. B is not left of F
iv. E is not left of A
v. C and B have one person between D and F
vi. A and D have one person between them
If we start counting from the left, on which member is B?

Solution:

From the given information, we get the arrangement of singers as follows
A – D – H – F – B – C – E – G
Therefore, the person B is at the fifth position from left.

Problem

25.Study the following information carefully to answer the given questions. Eight persons P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to immediate left of M is facing W. R is between T and M and w is to the immediate right of V. Who is sitting in front of R?

Solution

From the given information, we get the arrangement in two rows as follows
T – R – M – Q
U – P – V – W
Therefore, the person P is sitting in front of R.

Problem

26. Study the following information carefully to answer the given questions. Eight persons P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to immediate left of M is facing W. R is between T and M and w is to the immediate right of V.
Who is to the immediate right of R?

Solution:

From the given information, we get the arrangement in two rows as follows
T – R – M – Q
U – P – V – W
Therefore, the person T is to the immediate right of R.

Problem

27. Study the following information carefully to answer the given questions. Eight persons P to W are sitting in front of one another in two rows. Each row has four persons. P is between U and V and facing North. Q, who is to immediate left of M is facing W. R is between T and M and w is to the immediate right of V.
In which of the following pairs, persons are sitting in front of each other?

Solution:

From the given information, we get the arrangement in two rows as follows
T – R – M – Q
U – P – V – W
Therefore, the pair M V, persons are sitting in front of each other.

Problem

28. Four girls A, B, C, D are sitting around a circle facing the centre. B and C Infront of each other, which of the following is definitely true?

Solution:

From the above information, we get

four girls A, B, C, D are sitting around a circle facing the centre. B and C in front of each other.
Therefore, A and D will be also in front of each other.

Note: You should observe the solution and will be try them in your own method.