MAH MBA CET Arrangements Questions

Given that there are 7 chairs numbered 1 to 7 east to west

Statement 3 states Fatima's seat number has the highest number of factors

From seat number 1 to 7, the number with the highest number of factors is 6, with four factors, i.e. 1, 2, 3 and 6.

So Fatima sits at seat number 6.

Similarly, the number with the second highest number of factors is 4, with three factors, i.e. 1, 2 and 4.

Hence, Binny sits at seat number 4.

Given Binny and Divya sit adjacent to each other with Divya's seat number being higher than Binny's

So, Divya sits at seat number 5.

As Charu sits second to the left of Girish, there is only two seats where they can be i.e. Seat 1 and 3

Hence, Charu sits at Seat 1 and Girish sits at Seat 3.

There are only two seats left, and given Abhay does not sit at the end seats.

So, Abhay sits at Seat 2 and Eshan sits at Seat 7.

So, the final arrangement is 

Hence, Fatima sits to the immediate left of Eshan.

Given that there are 7 chairs numbered 1 to 7 east to west

Statement 3 states Fatima's seat number has the highest number of factors

From seat number 1 to 7, the number with the highest number of factors is 6, with four factors, i.e. 1, 2, 3 and 6.

So Fatima sits at seat number 6.

Similarly, the number with the second highest number of factors is 4, with three factors, i.e. 1, 2 and 4.

Hence, Binny sits at seat number 4.

Given Binny and Divya sit adjacent to each other with Divya's seat number being higher than Binny's

So, Divya sits at seat number 5.

As Charu sits second to the left of Girish, there is only two seats where they can be i.e. Seat 1 and 3

Hence, Charu sits at Seat 1 and Girish sits at Seat 3.

There are only two seats left, and given Abhay does not sit at the end seats.

So, Abhay sits at Seat 2 and Eshan sits at Seat 7.

So, the final arrangement is

Hence, Girish sits on seat number 3.

Given that there are 7 chairs numbered 1 to 7 east to west

Statement 3 states Fatima's seat number has the highest number of factors

From seat number 1 to 7, the number with the highest number of factors is 6, with four factors, i.e. 1, 2, 3 and 6.

So Fatima sits at seat number 6.

Similarly, the number with the second highest number of factors is 4, with three factors, i.e. 1, 2 and 4.

Hence, Binny sits at seat number 4.

Given Binny and Divya sit adjacent to each other with Divya's seat number being higher than Binny's

So, Divya sits at seat number 5.

As Charu sits second to the left of Girish, there is only two seats where they can be i.e. Seat 1 and 3

Hence, Charu sits at Seat 1 and Girish sits at Seat 3.

There are only two seats left, and given Abhay does not sit at the end seats.

So, Abhay sits at Seat 2 and Eshan sits at Seat 7.

So, the final arrangement is

The sum of the seat numbers of Binny and Fatima is 4+6 = 10.

Given that there are 7 chairs numbered 1 to 7 east to west

Statement 3 states Fatima's seat number has the highest number of factors

From seat number 1 to 7, the number with the highest number of factors is 6, with four factors, i.e. 1, 2, 3 and 6.

So Fatima sits at seat number 6.

Similarly, the number with the second highest number of factors is 4, with three factors, i.e. 1, 2 and 4.

Hence, Binny sits at seat number 4.

Given Binny and Divya sit adjacent to each other with Divya's seat number being higher than Binny's

So, Divya sits at seat number 5.

As Charu sits second to the left of Girish, there is only two seats where they can be i.e. Seat 1 and 3

Hence, Charu sits at Seat 1 and Girish sits at Seat 3.

There are only two seats left, and given Abhay does not sit at the end seats.

So, Abhay sits at Seat 2 and Eshan sits at Seat 7.

So, the final arrangement is

So, 4 people sit between Abhay and Eshan.

Eight people are sitting in a straight line. Let us number the positions as 1 to 8 from left to right. A is second to the right of C and third to the left of H. Moreover, H is not sitting at an end position. So, the possibilities for C, A and H are 2, 4, 7 or 1, 3, 6. If they are sitting at 2, 4,7, then D and G must be sitting at 5 and 6. Now, F is not sitting at an end position, so the only possible place for him will be 3. In this case E will have to sit at 1. But contradicts the given information. Hence, this is not possible. Thus, C, A and H must be sitting at 1, 3 and 6 respectively. D and G can be 4/5 or 7/8. But in case of 7/8, there won’t be more people to the right of G then his left. Hence G must be fourth, D must be fifth. E must be 2. B should be at 8 and F should be at 7. Thus, we will have the following arrangement

Eight people are sitting in a straight line. Let us number the positions as 1 to 8 from left to right. A is second to the right of C and third to the left of H. Moreover, H is not sitting at an end position. So, the possibilities for C, A and H are 2, 4, 7 or 1, 3, 6. If they are sitting at 2, 4,7, then D and G must be sitting at 5 and 6. Now, F is not sitting at an end position, so the only possible place for him will be 3. In this case E will have to sit at 1. But contradicts the given information. Hence, this is not possible. Thus, C, A and H must be sitting at 1, 3 and 6 respectively. D and G can be 4/5 or 7/8. But in case of 7/8, there won’t be more people to the right of G then his left. Hence G must be fourth, D must be fifth. E must be 2. B should be at 8 and F should be at 7. Thus, we will have the following arrangement

Eight people are sitting in a straight line. Let us number the positions as 1 to 8 from left to right. A is second to the right of C and third to the left of H. Moreover, H is not sitting at an end position. So, the possibilities for C, A and H are 2, 4, 7 or 1, 3, 6. If they are sitting at 2, 4,7, then D and G must be sitting at 5 and 6. Now, F is not sitting at an end position, so the only possible place for him will be 3. In this case E will have to sit at 1. But contradicts the given information. Hence, this is not possible. Thus, C, A and H must be sitting at 1, 3 and 6 respectively. D and G can be 4/5 or 7/8. But in case of 7/8, there won’t be more people to the right of G then his left. Hence G must be fourth, D must be fifth. E must be 2. B should be at 8 and F should be at 7. Thus, we will have the following arrangement

Eight people are sitting in a straight line. Let us number the positions as 1 to 8 from left to right. A is second to the right of C and third to the left of H. Moreover, H is not sitting at an end position. So, the possibilities for C, A and H are 2, 4, 7 or 1, 3, 6. If they are sitting at 2, 4,7, then D and G must be sitting at 5 and 6. Now, F is not sitting at an end position, so the only possible place for him will be 3. In this case E will have to sit at 1. But contradicts the given information. Hence, this is not possible. Thus, C, A and H must be sitting at 1, 3 and 6 respectively. D and G can be 4/5 or 7/8. But in case of 7/8, there won’t be more people to the right of G then his left. Hence G must be fourth, D must be fifth. E must be 2. B should be at 8 and F should be at 7. Thus, we will have the following arrangement

B is sitting second to the left of both A and E. Therefore, one among A and E must be facing the centre and the other must be facing away from the centre. It has been given that A is facing the centre. Therefore, E must be facing away from the centre.

(In the diagram, the persons facing the centre are indicated by green colour and the persons facing away from the centre are indicated by the red colour).

H is sitting to the left of both A and B. Therefore, B must be facing away from the centre.

D is sitting third to the right of E. G and E are not sitting adjacent to each other. Therefore, G must be sitting near D. H,D and G face the same direction. We also know that 4 persons face towards the centre and 4 persons face away from the centre. B and E face away from the centre. Therefore, H, D and G must be facing the centre.

C is not sitting adjacent to G. Therefore, F must be sitting adjacent to D. The final arrangement is as follows:

B is sitting third to the left of F. Therefore, option B is the right answer.

B is sitting second to the left of both A and E. Therefore, one among A and E must be facing the centre and the other must be facing away from the centre. It has been given that A is facing the centre. Therefore, E must be facing away from the centre.

(In the diagram, the persons facing the centre are indicated by green colour and the persons facing away from the centre are indicated by the red colour).

H is sitting to the left of both A and B. Therefore, B must be facing away from the centre.

D is sitting third to the right of E. G and E are not sitting adjacent to each other. Therefore, G must be sitting near D. H,D and G face the same direction. We also know that 4 persons face towards the centre and 4 persons face away from the centre. B and E face away from the centre. Therefore, H, D and G must be facing the centre.

C is not sitting adjacent to G. Therefore, F must be sitting adjacent to D. The final arrangement is as follows:

C is sitting opposite to D. Therefore, option C is the right answer.

B is sitting second to the left of both A and E. Therefore, one among A and E must be facing the centre and the other must be facing away from the centre. It has been given that A is facing the centre. Therefore, E must be facing away from the centre.

(In the diagram, the persons facing the centre are indicated by green colour and the persons facing away from the centre are indicated by the red colour).

H is sitting to the left of both A and B. Therefore, B must be facing away from the centre.

D is sitting third to the right of E. G and E are not sitting adjacent to each other. Therefore, G must be sitting near D. H,D and G face the same direction. We also know that 4 persons face towards the centre and 4 persons face away from the centre. B and E face away from the centre. Therefore, H, D and G must be facing the centre.

C is not sitting adjacent to G. Therefore, F must be sitting adjacent to D. The final arrangement is as follows:

F is sitting second to the right of D. Therefore, option E is the right answer.

From the clue given that a player who faces the table does not sit adjacent to someone who also faces the table, we understand that the directions alternate for the players around the round table. The configuration would look like, 

Now we are given that only European players face the table, and that seed 1 and 2 are facing each other. That means seed 1 and 2 are European. It is also given that pairs sitting opposite to each other, have their sum of seeds add up to a prime number. 

Before doing trial and error, we look at the next clue that says that seeds 3 and 8 sit on either side of seed 1, so that means seed 3 and 8 are not Europeans and 3 and 8 are not sitting opposite to each other. 

Now that 3 and 8 cannot be a prime number sum pair, we look at the only other possible option of pairs. 
1 and 2 (given)
3 and 4
5 and 8
6 and 7

We have the following arrangement using the clues thus far, 

Now we look at the clue that says that the player to the right of the second seed is not a top 4 seed. So, we see the possible configurations, we observe that either 4 or 5 can be placed adjacent to seed 2, that means seed 5 is to the right of seed 2. And the second part of that clue says, the player to the left of that player is not bottom 2. To the left of the 5th seed (considering the fact the player is facing away from the table) is either 6 or 7, since it is said not bottom 2, it is 6th seed. And using the prime number configuration we can find the remaining two players as well. 

The final configuration using all the clues is as follows. 

We see that 6 does not sit adjacent to 4. 

From the clue given that a player who faces the table does not sit adjacent to someone who also faces the table, we understand that the directions alternate for the players around the round table. The configuration would look like,

Now we are given that only European players face the table, and that seed 1 and 2 are facing each other. That means seed 1 and 2 are European. It is also given that pairs sitting opposite to each other, have their sum of seeds add up to a prime number.

Before doing trial and error, we look at the next clue that says that seeds 3 and 8 sit on either side of seed 1, so that means seed 3 and 8 are not Europeans and 3 and 8 are not sitting opposite to each other.

Now that 3 and 8 cannot be a prime number sum pair, we look at the only other possible option of pairs.
1 and 2 (given)
3 and 4
5 and 8
6 and 7

We have the following arrangement using the clues thus far,

Now we look at the clue that says that the player to the right of the second seed is not a top 4 seed. So, we see the possible configurations, we observe that either 4 or 5 can be placed adjacent to seed 2, that means seed 5 is to the right of seed 2. And the second part of that clue says, the player to the left of that player is not bottom 2. To the left of the 5th seed (considering the fact the player is facing away from the table) is either 6 or 7, since it is said not bottom 2, it is 6th seed. And using the prime number configuration we can find the remaining two players as well.

The final configuration using all the clues is as follows.

We see that Seed 5 is not European. 

From the clue given that a player who faces the table does not sit adjacent to someone who also faces the table, we understand that the directions alternate for the players around the round table. The configuration would look like,

Now we are given that only European players face the table, and that seed 1 and 2 are facing each other. That means seed 1 and 2 are European. It is also given that pairs sitting opposite to each other, have their sum of seeds add up to a prime number.

Before doing trial and error, we look at the next clue that says that seeds 3 and 8 sit on either side of seed 1, so that means seed 3 and 8 are not Europeans and 3 and 8 are not sitting opposite to each other.

Now that 3 and 8 cannot be a prime number sum pair, we look at the only other possible option of pairs.
1 and 2 (given)
3 and 4
5 and 8
6 and 7

We have the following arrangement using the clues thus far,

Now we look at the clue that says that the player to the right of the second seed is not a top 4 seed. So, we see the possible configurations, we observe that either 4 or 5 can be placed adjacent to seed 2, that means seed 5 is to the right of seed 2. And the second part of that clue says, the player to the left of that player is not bottom 2. To the left of the 5th seed (considering the fact the player is facing away from the table) is either 6 or 7, since it is said not bottom 2, it is 6th seed. And using the prime number configuration we can find the remaining two players as well.

The final configuration using all the clues is as follows.

We see that Option E is not a pair that is sitting adjacent to each other.