XAT Decision Making MCQ Quiz - 2


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Attempt XAT Decision Making MCQ Quiz - 2 | 23 questions in 55 minutes | Mock test for CAT preparation | Free important questions MCQ to study XAT Mock Test Series for CAT Exam | Download free PDF with solutions
QUESTION: 1

Which number can be the missing term?

94, 496, 1218, , 36112

Solution:

Every number in the series is composed of two parts, left part is the square of an odd number and the right parts are consecutive even numbers.

Left part:

9 = 32
49 = 72 ⇒ (3 + 4)2
121 = 112 ⇒ (3 + 4 + 4 )2
361 = 192 ⇒ (3 + 4 + 4 + 4 + 4)2
Left part of the missing term is (3 + 4 + 4 + 4)2 = 152 = 225

Right part:

4, 6, 8, ... , 12
Right part of the missing term is 10.
The missing term is 22510.
Hence, option 1.

QUESTION: 2

Eight friends are sitting around a circular table. The names of the friends are A, B, C, D, E, F, G, and H.

1. E is sitting opposite to H.
2. B is second to the right of E.
3. G and H are to the left of A.
4. C is sitting opposite to G.

Q. How many different sitting arrangements are possible?

Note: If seats were numbered 1 to 8 in clockwise order, then 2, 3 and 4 would have been to the left of 1 and also to the right of 5.

Solution:

Let E and H sit at seats 1 and 5. So, B is at 7.
A can be at 2, 3 or 4. So, G can be at 3, 4 or 6 depending on A’s position.
So, from (4),
(i) C can be at 8 and G at 4
(ii) C can be at 2 and G at 6
Consider (i)
C can be at 8 and G at 4
Case I: A is at 2.
D and F can sit at remaining positions in 2 ways.
Case II: A is at 3.
D and F can sit at remaining positions in 2 ways.
Thus, 4 arrangements are possible.
As above, we get 4 possible arrangements if C can be at 2 and Gat 6.
Thus, 8 arrangements are possible.
Hence, option 4.

QUESTION: 3

Group Question

Answer the following question based on the information given below.

Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.

 

Q. Who is the Journalist?

Solution:

If we look at the second statement of B, we can start with the premise that B is an alternator and his first and third statements are false and second statement is true.
He alternated in the order FTF (False, True, False).
If D’s first statement is true, then the second statement of A will be true.
Therefore, A, D and C will all have atleast one true statement.
None of D, A and C can be a liar, which contradicts the condition that atleast one person is a liar.
Therefore, this case is not possible.
Hence, D’s first statement is false.
Now, from the second statement of A, we can say that at most one of A and C can be a truth teller.
As neither B nor D is a truth teller, there is only one truth teller between A and C.
D’s second statement must be false.
Since, D’s first and second statement is false, his third statement also has to be false.
Therefore, D has to be a liar.
Now, if A is a truth teller, then B’s first statement is “C is either a Journalist or a Doctor” and this statement is false, since B’s first statement is false.
Also, B is an Engineer.
C is a Banker.
A and D are Journalist and Doctor in any order.
If A is a Doctor, then D is a Journalist, in which case, C’s first statement is true and third statement is false, which is not possible according to their tribes.
If A is a Journalist and D is a Doctor, then C’s first statement is false and third statement is true, which is also not possible according to their tribes.
A cannot be a truth teller.
C is a truth teller.
A is a Doctor and D is a Banker.
Also, from the third statement of D, C is an Engineer.
B is a Journalist.
As third statement is false. Also, As second statement is false as C is a truth teller.
Hence, B is an alternator with the order of the statements as FTF, A and D are liars and C is a truth teller.


Hence, option 2.

QUESTION: 4

Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.

 

Q. Who is/are the liar(s)?

Solution:

Consider the table obtained in the solution to the first question.
A and D are the liars.
Hence, option 4

QUESTION: 5

Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.

 

Q. How many of the statements made were true?

Solution:

Consider the table obtained in the solution to the first question.
Since C is a truth teller, all the three statements made by him were true and the second statement of B was true.
A and D being liars, all the statements made by them were false.
Hence, there were four true statements.
Hence, option 2.

QUESTION: 6

Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.

 

Q. Who is the Banker?

Solution:

Consider the table obtained in the solution to the first question.
D is the banker.
Hence, option 4.

QUESTION: 7

Four friends - A, B, C and D - belong to an island, in which each person belongs to one of the three tribes - Truth tellers, Alternators and Liars. Truth tellers always tell the truth, Alternators alternate between true and false statements, in any order and Liars always lie. A, B, C and D earn their respective livelihoods as a Banker, a Journalist, an Engineer and a Doctor, not necessarily in the same order. When asked about the tribes and how they earn their livelihoods, each of them made exactly three statements. B made his first and third statements in the local language, which was incomprehensible, but made his second statement in English. However, A, C and D made all their statements in English.
A:
Statement 1: B’s first statement is that, “C is either a Journalist or a Doctor.” Statement 2: C is not a Truth teller.
Statement 3: B is an Engineer.
B:
Statement 1: Aabra ka Daabra.
Statement 2: Atleast one of my statements is false.
Statement 3: Daan a kun.
C:
Statement 1: A is a Doctor.
Statement 2: B’s third statement is that, “D is a truth teller.” Statement 3: D is neither a Journalist nor an Engineer.
D:
Statement 1: C made exactly one true statement.
Statement 2: Exactly two of us are truth tellers.
Statement 3: C is a Journalist.
Among A, B, C and D, at least one person of each tribe is present.

 

Q. Which of the following groups consists of people from all the three tribes?

Solution:

Consider the table obtained in the solution to the first question.
B is an alternator, C is a truth teller and A and D are liars.
For a group to contain persons from all the three tribes, it must have both B and C and either A or D.
Only option 1 satisfies the condition.
Hence, option 1.

QUESTION: 8

Group Question

Answer the following question based on the information given below.

Aniket was from a very rich family, with its heritage in the village of Adpur in Gujarat. He was sent to a school in the city for the best education, where he stayed on until after post-graduation. With the fast paced life of upper-class pursuits Aniket rarely saw the ground below. One day on a visit to his village, he came across a lanky little girl. All of nine years, maybe even seven — it is difficult to tell in poorly-fed children. Falsely made up, oiled hair, nose rings and an outsized purple ribbon that stared out from behind her head — she cut a pathetic picture. She had just been sold for Rs 5,000 to a city- bred man, who was taking her with him to look after his newborn. The life he had known never indicated that there were many who lived a different life. Purple ribbon’s buyer griped that Rs 5,000 was too much, refusing to buy. The broker pleaded, “Where will she go, poor thing? Keep her as your servant, she will make your tea...” and offered to cut the price to Rs 4,500. Aniket’s stomach churned. Was this the value of a child? As he drove to the city, he felt chased by the nine-year-old’s scrubbed face framed by outsized purple ribbons. Unable to live with this memory, and seeking a solution, which he knew his gaggle of friends would not be able to provide, Aniket went back to Adpur determined to change what he had seen.

 

Q. Which of the following actions is/are likely to be a part of Aniket’s course of action?

A: Talk to her parents and offer to sponsor the child's education and healthcare.
B: File a complaint against brokers who are involved in human trafficking.
C: Get in touch with an NGO that works for child welfare.
D: File a complaint with the local police against the parents of the nine-year old child.
E: Ask for a dissolution of the existing Panchayat.

Solution:

Considering the fact that Aniket comes from a wealthy background, he can very well afford to sponsor the child and take care of her educational and nutritional requirements. This would help in addressing the immediate problem at hand. Considering his background, he can use the same to influence the larger issue at hand i.e. human trafficking. Getting an NGO involved would also help in looking into the cases and situations of other children in the village.
However, taking action against the parents of the child would not be a good decision since it is apparent that the child is from a poor family and getting the parents arrested would only add to their woes. Dissolution of the existing Panchayat would be ill-advised since there is little knowledge about their work towards the betterment of the village.
Hence, the correct answer is option 2.

QUESTION: 9

Aniket was from a very rich family, with its heritage in the village of Adpur in Gujarat. He was sent to a school in the city for the best education, where he stayed on until after post-graduation. With the fast paced life of upper-class pursuits Aniket rarely saw the ground below. One day on a visit to his village, he came across a lanky little girl. All of nine years, maybe even seven — it is difficult to tell in poorly-fed children. Falsely made up, oiled hair, nose rings and an outsized purple ribbon that stared out from behind her head — she cut a pathetic picture. She had just been sold for Rs 5,000 to a city- bred man, who was taking her with him to look after his newborn. The life he had known never indicated that there were many who lived a different life. Purple ribbon’s buyer griped that Rs 5,000 was too much, refusing to buy. The broker pleaded, “Where will she go, poor thing? Keep her as your servant, she will make your tea...” and offered to cut the price to Rs 4,500. Aniket’s stomach churned. Was this the value of a child? As he drove to the city, he felt chased by the nine-year-old’s scrubbed face framed by outsized purple ribbons. Unable to live with this memory, and seeking a solution, which he knew his gaggle of friends would not be able to provide, Aniket went back to Adpur determined to change what he had seen.

 

Q. Aniket went to the best schools in India and asked them if they would help. “I will support you financially, you just come to my village and open a school." But they all declined. Adpur was notorious for crime and was extremely unsafe, they pointed out. How should Aniket react?

Solution:

Since a feasible long term solution would be required here, offering extra security might be an added expenditure and will not benefit the village in a significant way. Eliminate option 1.
Compromising on the quality of education or sending the best students to schools in the city might not benefit the people of Adpur in a big way. Eliminate option 2.
Seeking help from NGOs in this situation might not lead to any immediate consequences. Eliminate option 3.
Thus, the best decision would be to ask the schools to train local teachers and school management. Option 4 is correct. Option 5 would be unfair and partial.
Hence, the correct answer is option 4.

QUESTION: 10

Aniket was from a very rich family, with its heritage in the village of Adpur in Gujarat. He was sent to a school in the city for the best education, where he stayed on until after post-graduation. With the fast paced life of upper-class pursuits Aniket rarely saw the ground below. One day on a visit to his village, he came across a lanky little girl. All of nine years, maybe even seven — it is difficult to tell in poorly-fed children. Falsely made up, oiled hair, nose rings and an outsized purple ribbon that stared out from behind her head — she cut a pathetic picture. She had just been sold for Rs 5,000 to a city- bred man, who was taking her with him to look after his newborn. The life he had known never indicated that there were many who lived a different life. Purple ribbon’s buyer griped that Rs 5,000 was too much, refusing to buy. The broker pleaded, “Where will she go, poor thing? Keep her as your servant, she will make your tea...” and offered to cut the price to Rs 4,500. Aniket’s stomach churned. Was this the value of a child? As he drove to the city, he felt chased by the nine-year-old’s scrubbed face framed by outsized purple ribbons. Unable to live with this memory, and seeking a solution, which he knew his gaggle of friends would not be able to provide, Aniket went back to Adpur determined to change what he had seen.

 

Q. Aniket wishes to open a school in Adpur. This will create equal opportunities for all the children of the villagers. However, the only land available to build the school includes parts of agricultural land. As a result of the same, some villagers are extremely hesitant as a bulk of their income comes from agriculture. They have urged the Gram Panchayat to discuss the same.

As a Panchayat member, which of the following points of view are you likely to support?on options.

Solution:

It is important that the infrastructure of Adpur be improved without affecting the livelihood of the villagers. Thus, option 5 offers a well-balanced perspective since it would be better if the Panchayat does not adopt an approach that is too lenient or too domineering.
Option 1 does not consider the plight of the villagers. Options 2 and 3 can be eliminated as they require a compromise on the future of the children of the village. Option 4 is not feasible since there is no more land available in the village.
Hence, the correct answer is option 5.

QUESTION: 11

Group Question

Answer the following question based on the information given below.

Sherpa Tinku has trained six mountaineers - Johny, Royal, Sign, Hankey, Buchanan and Walker. Sherpa has to send a team to climb Mount Everest. Sherpa has decided that he will send a team of at least 2 people based on their skills and ability to get along with each other. Following are the conditions which Sherpa has to take care of while selecting the team.

1. If Royal is in the team, Hankey must be there in the team and Buchanan must not be there in the team.
2. If Johny is present in the team, then exactly one of Royal and Sign has to be selected.
3. If Sign is in the team, Buchanan must be in the team and Walker must not be in the team.
4. If size of the team is less than four, then both Hankey and Walker cannot be in the same team.

 

Q. Which of the following is a correct combination of the team chosen by Sherpa Tinku?

Solution:

Consider option 1:

From condition 4, if size of the team is less than four, then both Hankey and Walker cannot be in the same team.

Hence, this is not a valid combination.

Consider option 2:

It does not violate any of the given conditions.
Hence, it can be a valid combination.

Consider option 3:

From condition 1, if Royal is in the team, Hankey must be there in the team.
Hence, this is not a valid combination.

Consider option 4:

From condition 3, If Sign is in the team, Walker must not be in the team.
Hence, this is not a valid combination.

Consider option 5:

From condition 1, If Royal is in the team, Hankey must be there in the team and Buchanan must not be there in the team.
Hence, this is also not a valid combination.
Hence, only option 2 is a valid team.
Hence, option 2.

QUESTION: 12

Sherpa Tinku has trained six mountaineers - Johny, Royal, Sign, Hankey, Buchanan and Walker. Sherpa has to send a team to climb Mount Everest. Sherpa has decided that he will send a team of at least 2 people based on their skills and ability to get along with each other. Following are the conditions which Sherpa has to take care of while selecting the team.

1. If Royal is in the team, Hankey must be there in the team and Buchanan must not be there in the team.
2. If Johny is present in the team, then exactly one of Royal and Sign has to be selected.
3. If Sign is in the team, Buchanan must be in the team and Walker must not be in the team.
4. If size of the team is less than four, then both Hankey and Walker cannot be in the same team.

 

Q. If neither Royal nor Walker is selected in the team, then who must be part of the team?

Solution:

As neither Royal and Walker are in the team, the team must be formed by Johny, Sign, Hankey and Buchanan.
Now, lets try to find a valid team combinations which do not include Johny, Sign, Hankey or Buchanan. If we are unable to find a team without a particular mountaineer we can conclude that the mountaineer has to be in the team.

Case 1: (Johny is not selected)

In this case, Sign and Buchanan can be a possible team.
Hence, if Johny, Royal and Walker are not in the team, then also a valid team is possible.
Hence, option 4 is eliminated.

Case 2: (Sign is not selected)

In this case, Buchanan and Hankey is a possible team.
Hence, a valid combination is possible even if Sign is not selected.
Hence, option 1 is eliminated.

Case 3: (Hankey is not selected)

Sign and Buchanan can form a team.
Hence, a valid combination is possible even if Hankey is not selected.
Hence, option 2 is eliminated.

Case 4: (Buchanan is not selected)

As Buchanan is not in the team, hence by condition 3, Sign also cannot be in the team.
Now, as Royal and Sign are not in the team, hence by condition 2, Johny also cannot be in the team.
Hence, if Royal, Walker and Buchanan are not in the team then Sign and Johny will also not be in the team.
Hence, a team of at least 2 is not possible if Buchanan is not selected.
Hence, if Royal and Walker are not selected, then Buchanan must be selected in the team.
Hence, option 3.

QUESTION: 13

Sherpa Tinku has trained six mountaineers - Johny, Royal, Sign, Hankey, Buchanan and Walker. Sherpa has to send a team to climb Mount Everest. Sherpa has decided that he will send a team of at least 2 people based on their skills and ability to get along with each other. Following are the conditions which Sherpa has to take care of while selecting the team.

1. If Royal is in the team, Hankey must be there in the team and Buchanan must not be there in the team.
2. If Johny is present in the team, then exactly one of Royal and Sign has to be selected.
3. If Sign is in the team, Buchanan must be in the team and Walker must not be in the team.
4. If size of the team is less than four, then both Hankey and Walker cannot be in the same team.

 

Q. Who must be there in the largest possible team?

Solution:

It is obvious from condition 2 or 3 that the team of 6 members is not possible.
Now, let us try to find possible teams comprising 5 members.
If Sign is selected, then by 2nd and 3rd condition, Walker and Royal cannot be selected. Hence, if Sign is selected then a team of 5 people is not possible.
Similarly, if Sign is not selected then either of Royal and Buchanan is selected.
Hence, a team comprising 5 members is not possible.
Hence, the largest possible team contains 4 members.
Now, let us find all possible teams comprising 4 members.
Now, Royal may or may not be a part of these teams. Hence, two cases are possible:

Case I: (Royal is selected)

If Royal is selected, then by condition 1 and 3, Buchanan and Sign cannot be part of the team.
Hence, only possible team is; Royal, Hankey, Johny and Walker.

Case II: (Royal is not selected)

In this case, if Sign is not selected, then by condition 2, Johny cannot be part of the team.
Hence, for a 4 member team, if Royal is not selected then Sign must be selected.
Hence, by condition 3, Buchanan must be selected and Walker must not be selected.
Hence, only possible team combination is; Sign, Buchanan, Johny and Hankey.
Hence, there are only two possible teams which contain 4 members.
In either of the combinations, Johny and Hanky are part of the team.
Hence, option 5.

QUESTION: 14

Sherpa Tinku has trained six mountaineers - Johny, Royal, Sign, Hankey, Buchanan and Walker. Sherpa has to send a team to climb Mount Everest. Sherpa has decided that he will send a team of at least 2 people based on their skills and ability to get along with each other. Following are the conditions which Sherpa has to take care of while selecting the team.

1. If Royal is in the team, Hankey must be there in the team and Buchanan must not be there in the team.
2. If Johny is present in the team, then exactly one of Royal and Sign has to be selected.
3. If Sign is in the team, Buchanan must be in the team and Walker must not be in the team.
4. If size of the team is less than four, then both Hankey and Walker cannot be in the same team.

 

Q. Which of the following pairs cannot be selected with any of the remaining four people?

Solution:

Consider option 1:

A team comprising Sign, Buchanan and Hankey is possible. Hence, option 1 is eliminated.

Consider option 2:

Hankey and Buchanan can be selected with Sign.
Hence, option 2 is eliminated.

Consider option 3:

If Buchanan is selected, then by condition 1, Royal cannot be selected.
Similarly, if Walker is selected, then by condition 3, Sign cannot be selected.
As Royal and Sign are not selected, hence by condition 2, Johny cannot be selected.
Hence, Buchanan and Walker can be part of team which has a maximum of three members.
Now, by condition 4, Hankey and Walker cannot be in the same team if size of the team is less than 4.
Hence, Hankey also cannot be selected.
Hence, Buchanan and Walker cannot be selected with any of the remaining people.

Consider option 4:

Royal and Hankey can be selected with Johny.
Hence, option 4 is eliminated.
Hence, only Buchanan and Walker cannot be selected with any of the remaining four people.
Hence, option 3.

QUESTION: 15

Group Question

The passage given below is followed by a set of questions. Choose the most appropriate answer to each question.

LFC is a very popular football club that has won several domestic and international accolades since the club’s establishment in 1869. Besides having a huge fan following at home and abroad, LFC also has an extensive army of franchises and several exclusive TV deals. This is perhaps why, Kop Limited, a firm owned by two American businessmen, Billet and Cricks, has been contemplating a prospective takeover of the Football club. Billet and Cricks present their offer to LFC’s board of directors and manage to win the approval of some of the board members. However, when the news of a prospective takeover finds its way to popular media, many fans are outraged as they see this as commercial exploitation of the club’s legacy. Some of the board members too, express concern over LFC being owned by businessmen who have not been associated with the club in the past and might prioritize their own financial interests over the club’s well-being. At the same time, it would be difficult for the board to reject the offer without deliberation since they could use the funds from the takeover and this would help them improve the infrastructure and facilities for the LFC squad. The board members of LFC find themselves in a dilemma.

 

Q. As a representative of Kop Limited, you have been asked to help them convince LFC board members and supporters that the deal would be in the club’s best interests. To create a positive impact, the best decision you could take would be to:

Solution:

The apprehension towards the takeover bid mostly stems from Kop Limited’s limited exposure to LFC’s legacy and culture.
Option 1 seems irrational and defeatist. It would seem that Kop Limited has no interest in playing a role in the club’s success. Eliminate option 1.
Option 2 would not help change how Kop Limited is perceived and is thus, not advisable.
Options 4 and 5, seem hasty and would be perceived as quick-fixes rather than stable long-term solutions that will benefit all parties involved.
Option 3 can be deemed as the most suitable decision since it provides Kop Limited a chance to assure the Board of their capabilities and work with them to win over LFC’s fan following.
Hence, the correct answer is option 3.

QUESTION: 16

LFC is a very popular football club that has won several domestic and international accolades since the club’s establishment in 1869. Besides having a huge fan following at home and abroad, LFC also has an extensive army of franchises and several exclusive TV deals. This is perhaps why, Kop Limited, a firm owned by two American businessmen, Billet and Cricks, has been contemplating a prospective takeover of the Football club. Billet and Cricks present their offer to LFC’s board of directors and manage to win the approval of some of the board members. However, when the news of a prospective takeover finds its way to popular media, many fans are outraged as they see this as commercial exploitation of the club’s legacy. Some of the board members too, express concern over LFC being owned by businessmen who have not been associated with the club in the past and might prioritize their own financial interests over the club’s well-being. At the same time, it would be difficult for the board to reject the offer without deliberation since they could use the funds from the takeover and this would help them improve the infrastructure and facilities for the LFC squad. The board members of LFC find themselves in a dilemma.

 

Q. Identify the best rationale that may lead to the LFC board rejecting Kop Limited’s proposal.

Solution:

The question requires a suitable reason which would make Kop Limited’s bid seem unnecessary to the club without denying any advantages that the liaison might bring. Option 4 alone manages to keep this balance.
Option 1 is ruled out since LFC’s success might not necessarily be due to its ownership as much as it might be due to its players and management.
Option 2 does not provide an adequate reason to reject Kop Limited’s bid; their lack of experience in a particular region does not necessarily make their proposal seem harmful to LFC’s interests.
Option 3 is absurd; though, it might be true that LFC’s success can be attributed to its fans but one cannot accept a unanimous consensus from such a large number of fans. To reject a proposal on these grounds would be irrational on the board’s part.
Option 5 can be eliminated since a takeover need not be limited to adding monetary value alone.
Hence, the correct answer is option 4.

QUESTION: 17

LFC is a very popular football club that has won several domestic and international accolades since the club’s establishment in 1869. Besides having a huge fan following at home and abroad, LFC also has an extensive army of franchises and several exclusive TV deals. This is perhaps why, Kop Limited, a firm owned by two American businessmen, Billet and Cricks, has been contemplating a prospective takeover of the Football club. Billet and Cricks present their offer to LFC’s board of directors and manage to win the approval of some of the board members. However, when the news of a prospective takeover finds its way to popular media, many fans are outraged as they see this as commercial exploitation of the club’s legacy. Some of the board members too, express concern over LFC being owned by businessmen who have not been associated with the club in the past and might prioritize their own financial interests over the club’s well-being. At the same time, it would be difficult for the board to reject the offer without deliberation since they could use the funds from the takeover and this would help them improve the infrastructure and facilities for the LFC squad. The board members of LFC find themselves in a dilemma.

 

Q. Kop Limited has managed to convince majority of the LFC’s shareholders and board members. Talks are being held to decide which concerns need to be addressed before the proceedings start. All of the following are valid points of consideration except-

Solution:

The question seeks a choice that would be irrelevant to Kop’s takeover of LFC. Option 1 is a valid concern since the passage mentions how LFC fans were concerned about “commercial exploitation of the club’s legacy.” Options 2 and 3 are also worth considering for Kop Limited, as the prospective owners of LFC.
It is necessary, that the existing management of LFC agrees with Kop Limited on the transition during the change of ownership. This eliminates option 4.
Option 5 alone is irrelevant since an appraisal of the team’s performance will not be required as a point of consideration during the takeover. Moreover, the passage states that LFC is a successful football club and such an aspect would have been considered far ahead in time and not at the current phase when the proceedings are about to begin.
Hence, the correct answer is option 5.

QUESTION: 18

Cricket teams of India and England played the historic Natwest final in the year 2006. England captain, Micheal Waughan, won the toss and decided to bat first. Because of the damp wicket, England lost their openers quickly. After that England captain, Micheal Waughan, took charge and scored a brilliant hundred. It was the only century in the innings. He was well supported by rest of the batsmen at the other end. England managed to get a more than respectable total in the match. Indian bowlers were wayward in their line and length and gave away 32 extras.
However they managed to pick all England wickets.

After the England innings, each batsman was asked how many runs he had scored. But each of them gave the sum of runs scored by all the players except himself. Following were the replies given by each of the batsman (In no particular order).

256, 223, 294, 285, 327, 317, 324, 325, 303, 308

The eleventh batsman gave the total number of runs that was equal to one of the above numbers.

 

Q. How many runs did Micheal Waughan score in this innings?

Solution:

Let England's batsmen scored a total of x runs in this inning. Let individual scores be a, b, c, d, e, f, g, h, i,j and k.

Now, each of the English batsmen gave the total runs scored by the 10 batsmen other than himself.

x - a = 256
x - 5 = 223
x - c = 294
x - d = 285
x - e = 327
x - f = 317
x - g = 324
x - h = 325
x - i = 303
x - j = 308

Adding, 10 x - (a + b + c + d + e + f + g + h + i + j) = 2962
10x = 2962 + (a + b + c + d + e + f + g + h + i + j)

Now, for x to be an integer, (a + b + c + d + e + f + g + h + i + j) has to end with 8. This number would have been given by the 11th batsman who scored k runs and we know that it is out of the 10 numbers given. There is only one number that has 8 in the unit’s place in the given list and that is 308.

10x = 2962+ 308 = 3270

Summation of the runs scored by all English batsman = x = 327

Now, Micheal Waughan scored the only century of the innings, hence, he must be the top scorer of the innings.
Runs scored by Micheal Waughan = (Sum of the runs scored by individual players) - (Minimum total in the list)
= 327 - 223
= 104
Hence, option 1.

QUESTION: 19

Group Question

Answer the following question based on the information given below.

There are four trees - lemon, coconut, mango and neem - each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. The lemon and coconut trees are on either side of the gate which is located at the center of the side opposite to the side at whose extremes, the well and the cabin are located. The mango tree is not at the corner where the cabin is located.


Q. Which of the following pairs can be diagonally opposite to each other in the plot? 

Solution:

The lemon tree and coconut tree are on either side of the gate.
Therefore, start by fixing some position for the gate and get the position of the lemon and coconut tree.


The well and the cabin are at either end of the side opposite to the side having the gate.
The mango tree and the cabin are not at the same corner.
The neem tree and the well are not at the same corner.
Thus, two corners of the plot have to be (mango tree, well) and (neem tree, cabin).
Thus, the possible arrangement is as shown below.


From this arrangement and keeping in mind the given options, it is clear that only the neem tree and lemon tree can be opposite each other.
Hence, option 1.

QUESTION: 20

There are four trees - lemon, coconut, mango and neem - each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. The lemon and coconut trees are on either side of the gate which is located at the center of the side opposite to the side at whose extremes, the well and the cabin are located. The mango tree is not at the corner where the cabin is located.

 

Q. If the lemon tree is diagonally opposite to the well, then the coconut tree is diagonally opposite to the

Solution:

Consider the final arrangement obtained in the solution to the first question.
If the lemon tree is diagonally opposite to the well, then we can have the following two possible arrangements.



In either case, the coconut tree is diagonally opposite the cabin and the neem tree.
Hence, option 3.

QUESTION: 21

There are four trees - lemon, coconut, mango and neem - each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. The lemon and coconut trees are on either side of the gate which is located at the center of the side opposite to the side at whose extremes, the well and the cabin are located. The mango tree is not at the corner where the cabin is located.

 

Q. If the coconut tree and the neem tree cannot be at adjacent corners of the plot, then which of the following will necessarily have to be at diagonally opposite corners of the plot?

Solution:

Consider the final arrangement obtained in the solution to the first question.

The coconut and neem trees cannot be at adjacent corners, the following arrangements are possible.



It can be seen that the lemon tree and well will necessarily have to be at diagonally opposite corners of the plot.
Hence, option 4.

QUESTION: 22

There are four trees - lemon, coconut, mango and neem - each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. The lemon and coconut trees are on either side of the gate which is located at the center of the side opposite to the side at whose extremes, the well and the cabin are located. The mango tree is not at the corner where the cabin is located.

 

Q. Which of the following must be TRUE?

Solution:

Consider the final arrangement obtained in the solution to the first question.
The neem tree and well definitely have to be at adjacent corners.
Hence, option 3.

QUESTION: 23

There are four trees - lemon, coconut, mango and neem - each at a different corner of a rectangular plot. A well is located at one corner and a cabin at another corner. The lemon and coconut trees are on either side of the gate which is located at the center of the side opposite to the side at whose extremes, the well and the cabin are located. The mango tree is not at the corner where the cabin is located.

 

Q. Which of the following is definitely FALSE?

Solution:

Consider the table obtained in the solution to the first question.
The lemon tree is on the same side of the plot as the gate.
Hence, the statement in option 4 is definitely false.
Hence, option 4.

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