# Decision Making MCQ Quiz - 1

## 30 Questions MCQ Test Quantitative Aptitude for Banking Preparation | Decision Making MCQ Quiz - 1

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Attempt Decision Making MCQ Quiz - 1 | 30 questions in 60 minutes | Mock test for UPSC preparation | Free important questions MCQ to study Quantitative Aptitude for Banking Preparation for UPSC Exam | Download free PDF with solutions
QUESTION: 1

### Letters of the word ‘ARRANGEMENT’ are first written in ascending order and then in descending order, and this process is continued. The (812)th letter of the above series is :

Solution:

Solution: The word ‘ARRANGEMENT’ has 11 alphabets. Hence in the given series each alphabet will repeat after (22n - 1) terms, where n = 1,2,3......and so on. i.e. A will have the position 22n + 1 for n = 0, 1 , 2 , 3 ...... and so on.
The required term will also follow this pattern.
Therefore, to find the (812)th term of the series, find the remainder when 812 is divided by 22.
Remainder when 812 divided by 22 is,

Now, the 20th letter of the series is E.
Hence, E will be the (812) th letter of the series. Hence, option 3.

QUESTION: 2

### Group Question Answer the following question based on the information given below. In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events. Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square. The following information is also available: I. The number of participants in javelin was exactly half the number of participants in each of the other events. II. USA sent an equal number of participants in shot put, high jump and long jump. III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events. IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan. V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events. VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event. VII. The number of participants in the marathon event sent by all the other countries other than China is equal.     Q. For which event did China send the maximum number of Marks participants?

Solution:

Solution: The five different countries were USA, China, UK, Australia and Japan. The five different events were shot put, javelin, high jump, long jump and marathon.
The total number of participants was a perfect square, and the number of participants sent by each country was at least two and at most ten.
The number of participants was more than 18 and less than 50.
Let the total number of participants in javelin be x. From statement (I), the total number of participants in shot put, high jump, long jump and marathon was 2x each.
Total number of participants = 9x As the total number of participants was a perfect square, and 9 is a perfect square, x is a perfect square. As 18<9x<50, x = 4 The total number of participants was 36.
There were 4 participants in Javelin and 8 in each of the remaining events.
From statement (IV), the number of participants sent by each country was as follows: China = 10, USA = 8, UK = 7, Australia = 6, Japan = 5

From statement (V), every country other than Japan sent 1 participant each for the javelin event. Also, Japan sent at least one participant for each of the other events and from 3, Japan sent its maximum participants for Long Jump. Japan sent 2 participants for Long Jump and 1 each for the other three events. From 7, all countries except China sent an equal number of participants for Marathon. China sent 4 participants for marathon and the others sent 1.
From (II), USA sent 2 participants each for shot put, high jump and long jump.
From (VI), China sent no participants for high jump.
It sent 2 and 3 participants for Shot put and Long jump. If it sent 3 participants for long jump, then either UK or Australia would send no participants for Long jump, which is not possible by statement 3.
China sent 3 and 2 participants respectively for shot put and long jump.
From (III), UK and Australia sent 1 participant each for Long Jump and Shot put.

We have the following :

China sent the maximum number of participants for Marathon. Hence, option 4.

QUESTION: 3

### In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events. Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square. The following information is also available: I. The number of participants in javelin was exactly half the number of participants in each of the other events. II. USA sent an equal number of participants in shot put, high jump and long jump. III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events. IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan. V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events. VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event. VII. The number of participants in the marathon event sent by all the other countries other than China is equal.     Q. How many countries did not send even a single participant in any one event?

Solution:

Solution: China did not send even a single participant for the high jump event. Similarly Japan did not send even a single participant for the javelin event. 2 countries did not send even a single participant in a particular event.
Hence, option 2.

QUESTION: 4

In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.
Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.

The following information is also available:

I. The number of participants in javelin was exactly half the number of participants in each of the other events.
II. USA sent an equal number of participants in shot put, high jump and long jump.
III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.
IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.
V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.
VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.
VII. The number of participants in the marathon event sent by all the other countries other than China is equal.

Q. Which country sent the maximum number of participants for the high jump event?

Solution:

Solution: From the table in the answer to the first question of this set, UK sent the maximum number of participants for the high jump event.Hence, option 1.

QUESTION: 5

In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.
Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.

The following information is also available:

I. The number of participants in javelin was exactly half the number of participants in each of the other events.
II. USA sent an equal number of participants in shot put, high jump and long jump.
III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.
IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.
V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.
VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.
VII. The number of participants in the marathon event sent by all the other countries other than China is equal.

Q. Considering all the participants sent by the five countries put together, how many instances were there wherein exactly one participant was sent by a country for an event?

Solution:

Solution: From the table in the answer to the first question of this set, there are 14 instances wherein exactly one participant was sent by a country for an event.
Hence, option 3.

QUESTION: 6

In the 2006 Common Wealth games, there was participation from five different countries - USA, China, UK, Australia and Japan. From each of these five countries there were athletes participating in one of the five following events: shot put, javelin, high jump, long jump and marathon. Each participant was allowed to participate in exactly one of the five events.
Further it is known that there were at least two participants and at most ten participants from each country and the total number of participants from all the five countries put together was a perfect square.

The following information is also available:

I. The number of participants in javelin was exactly half the number of participants in each of the other events.
II. USA sent an equal number of participants in shot put, high jump and long jump.
III. The maximum number of participants sent by Japan is for the long jump event and each country sent at least one participant for the long jump and shot put events.
IV. The number of participants from China was two more than that from USA, which in turn was one more than that from UK, which in turn was one more than that from Australia which in turn was one more than that from Japan.
V. Except Japan, all the other countries sent at least one participant for the javelin event while Japan sent at least one participant in each of the remaining events.
VI. The number of participants sent by China for each of the events was different and there were no participants from China for the high jump event.
VII. The number of participants in the marathon event sent by all the other countries other than China is equal.

Q. Which among the following is definitely FALSE?

Solution:

Solution: The number of participants sent by USA and Australia for the high jump event is 2.
Statement 1 is true.
Except for the high jump event, Australia sent 1 participant for each of the remaining events.
Statement 2 is true.
The maximum number of participants sent by any country for any event is 4.
Statement 3 is true. None of the 3 given statements is false. Hence, option 4.

QUESTION: 7

Group Question

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

The management team of Eta, a footwear company implemented a massive revamping exercise after making losses for four consecutive fiscal years in which more than 250 managers and their juniors were asked to quit. Eta decided to stop further recruitment. The management offered its staff a performance based salary. In 1996, for the first time in Eta's 62-year-old history, the company signed a long-term bipartite agreement. This agreement was signed without any disruption of work. In the six-year period 1993-99, Eta had considerably brought down the staff strength of its Itanagar factory and Calcutta offices to 6,700.

In fiscal year 1996, Eta was back in the black with the company reporting net profits of Rs. 41.5 million on revenues of Rs. 5.90 billion (Rs. 5.32 billion in 1995). In fiscal year 1997, Eta further consolidated the gains with the company reporting net profits of Rs 166.9 million on revenues of Rs. 6.70 billion. A senior HR manager at the company admitted that with an upswing in Eta's fortunes, even its traditionally intransigent workers were motivated to do better. In 1997, Eta workers achieved 93% of their production targets. The management rewarded the workers with a 17% bonus, up from the 15% given in 1996.

However, by the end of 1997, Eta still faced problems of a high-cost structure and surplus labor. In fact, the turnaround had made the unions more aggressive and demanding. Eta’s CEO had failed to strike a deal with the All India Eta Shop Managers Union (AIESMU) since the third quarter of 1997. The shop managers were insisting that Eta honour the 1990 agreement, which stipulated that the management would fill up 248 vacancies in its retail outlets. It also opposed the move to sack all the cashiers in outlets with annual sales of less than Rs 5 million, which meant elimination of 690 jobs.

Q. In the wake of the dispute with the AIESMU, what should the reaction of the management be?

Solution:

Solution: Cutting costs or looking for an exit clause would not help the dispute in a positive way. Cutting costs would mean that the management is complying without any assertion.
Eliminate options 1 and 3.
The company would incur losses if they were to invest in new ventures or shut down outlets. Eliminate options 2 and 5.
Thus, the correct decision would be to renegotiate the argument.
Hence, the correct answer is option 4.

QUESTION: 8

The management team of Eta, a footwear company implemented a massive revamping exercise after making losses for four consecutive fiscal years in which more than 250 managers and their juniors were asked to quit. Eta decided to stop further recruitment. The management offered its staff a performance based salary. In 1996, for the first time in Eta's 62-year-old history, the company signed a long-term bipartite agreement. This agreement was signed without any disruption of work. In the six-year period 1993-99, Eta had considerably brought down the staff strength of its Itanagar factory and Calcutta offices to 6,700.

In fiscal year 1996, Eta was back in the black with the company reporting net profits of Rs. 41.5 million on revenues of Rs. 5.90 billion (Rs. 5.32 billion in 1995). In fiscal year 1997, Eta further consolidated the gains with the company reporting net profits of Rs 166.9 million on revenues of Rs. 6.70 billion. A senior HR manager at the company admitted that with an upswing in Eta's fortunes, even its traditionally intransigent workers were motivated to do better. In 1997, Eta workers achieved 93% of their production targets. The management rewarded the workers with a 17% bonus, up from the 15% given in 1996.

However, by the end of 1997, Eta still faced problems of a high-cost structure and surplus labor. In fact, the turnaround had made the unions more aggressive and demanding. Eta’s CEO had failed to strike a deal with the All India Eta Shop Managers Union (AIESMU) since the third quarter of 1997. The shop managers were insisting that Eta honour the 1990 agreement, which stipulated that the management would fill up 248 vacancies in its retail outlets. It also opposed the move to sack all the cashiers in outlets with annual sales of less than Rs 5 million, which meant elimination of 690 jobs.

Q. As a lawyer working for Dastur and Associates, you have been asked to mediate the dispute. What is likely to be the sequence in your course of action from the options given?

A. Call a meeting with both parties at once.

B. Study different approaches to the situation.

C. Meet both parties individually.

D. Suggest a solution that is median to both parties’ requirements.

Solution:

Solution: As a mediator, one must first survey the situation to understand the two parties involved. Hence, it is required that they are called individually before they are called together and a solution is put forth. It is essential to examine varied approaches and solutions to the problem depending on the nature of the problems faced by the parties. The last step would involve putting a solution forth that would be acceptable to both parties.
Hence, the correct answer is option 2.

QUESTION: 9

The management team of Eta, a footwear company implemented a massive revamping exercise after making losses for four consecutive fiscal years in which more than 250 managers and their juniors were asked to quit. Eta decided to stop further recruitment. The management offered its staff a performance based salary. In 1996, for the first time in Eta's 62-year-old history, the company signed a long-term bipartite agreement. This agreement was signed without any disruption of work. In the six-year period 1993-99, Eta had considerably brought down the staff strength of its Itanagar factory and Calcutta offices to 6,700.

In fiscal year 1996, Eta was back in the black with the company reporting net profits of Rs. 41.5 million on revenues of Rs. 5.90 billion (Rs. 5.32 billion in 1995). In fiscal year 1997, Eta further consolidated the gains with the company reporting net profits of Rs 166.9 million on revenues of Rs. 6.70 billion. A senior HR manager at the company admitted that with an upswing in Eta's fortunes, even its traditionally intransigent workers were motivated to do better. In 1997, Eta workers achieved 93% of their production targets. The management rewarded the workers with a 17% bonus, up from the 15% given in 1996.

However, by the end of 1997, Eta still faced problems of a high-cost structure and surplus labor. In fact, the turnaround had made the unions more aggressive and demanding. Eta’s CEO had failed to strike a deal with the All India Eta Shop Managers Union (AIESMU) since the third quarter of 1997. The shop managers were insisting that Eta honour the 1990 agreement, which stipulated that the management would fill up 248 vacancies in its retail outlets. It also opposed the move to sack all the cashiers in outlets with annual sales of less than Rs 5 million, which meant elimination of 690 jobs.

Q. Which of the following is most unlikely to be a priority of the management?

Solution:

Solution: All of the above options would be perceived as positive developments for the company but increasing the productivity of the workers would not be a priority for the management since the workforce had already achieved 93% of its productivity target.Hence, the correct answer is option 4.

QUESTION: 10

The management team of Eta, a footwear company implemented a massive revamping exercise after making losses for four consecutive fiscal years in which more than 250 managers and their juniors were asked to quit. Eta decided to stop further recruitment. The management offered its staff a performance based salary. In 1996, for the first time in Eta's 62-year-old history, the company signed a long-term bipartite agreement. This agreement was signed without any disruption of work. In the six-year period 1993-99, Eta had considerably brought down the staff strength of its Itanagar factory and Calcutta offices to 6,700.

In fiscal year 1996, Eta was back in the black with the company reporting net profits of Rs. 41.5 million on revenues of Rs. 5.90 billion (Rs. 5.32 billion in 1995). In fiscal year 1997, Eta further consolidated the gains with the company reporting net profits of Rs 166.9 million on revenues of Rs. 6.70 billion. A senior HR manager at the company admitted that with an upswing in Eta's fortunes, even its traditionally intransigent workers were motivated to do better. In 1997, Eta workers achieved 93% of their production targets. The management rewarded the workers with a 17% bonus, up from the 15% given in 1996.

However, by the end of 1997, Eta still faced problems of a high-cost structure and surplus labor. In fact, the turnaround had made the unions more aggressive and demanding. Eta’s CEO had failed to strike a deal with the All India Eta Shop Managers Union (AIESMU) since the third quarter of 1997. The shop managers were insisting that Eta honour the 1990 agreement, which stipulated that the management would fill up 248 vacancies in its retail outlets. It also opposed the move to sack all the cashiers in outlets with annual sales of less than Rs 5 million, which meant elimination of 690 jobs.

Q. On March 8, 2000, a lockout was declared at Eta's factory in Bangalore, following a strike by its employee union. The new leadership of the union had refused to abide by the wage agreement, which was to expire in August 2001.Following the failure of its negotiations with the union, the management decided to go for a lock out.As the General Manager of the factory, which of the following actions would you take to minimize the loss?

A. Outsource production to another company to cut costs.

B. Halt production till the strike is over.

C. Shift production to the company’s other factories.D. Arrange for a sale of the factory.

Solution:

Solution: Halting production would lead to a loss of revenue. Hence, action B is not a desirable course of action.
Action D is also not appropriate as selling the factory would be a hasty decision.
Actions A and C are feasible in terms of their consequences.
Hence, the correct answer is option 4.

QUESTION: 11

Group Question

Answer the following question based on the information given below.

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.

Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.

Q. By how many days does the minimum time taken by individual Y to complete Activity 8 exceed the minimum time taken by individual X to complete Activity 7? Assume that each individual separately performs all the activities required for his Activity (7 or 8) to be completed and that there is no one helping him.

Solution:

Solution: The time taken for each activity and the preceding activities for each activity are shown below. The number on the arrow denotes the time taken for the first activity to get over. e.g. the 6 written between A1 and A4 implies that Activity A1 requires 6 days for completion and Activity A4 can start only after that.

Consider Individual X. Activity 7 requires activities A4, A5 and A6 to be completed. Now, A5 requires A4 and A3 to be completed (which in turn requires A2 to be completed). Similarly, A6 requires A4 and A1 to be completed. Finally, A4 requires A1 and A2 to be completed. Thus, all activities from A1 to A7 need to be complete for A7 to be completed. So, calculate the time taken by X to complete the activites A1 to A7.
Since the person can work on only one activity at a time, total time taken to complete A7 = A1 + A2 + A3 + A4 + A5 + A6 + A7 = 6 + 4 + 8 + 3 + 4 + 3 + 4 = 32 days.
Similarly, time taken by Y to complete A8 = A1 + A2 + A3 + A4 + A5 + A8 = 6 + 4 + 8 + 3 + 4 + 8 = 33 days

Required difference = 33 - 32 = 1 day Hence, option 5.

QUESTION: 12

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.

Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.

Q. What is the minimum possible number of days in which any individual can finish manufacturing an engine working alone?

Solution:

Solution: Consider the solution to the previous question.
An individual can complete A7 in 32 days and A8 in 33 days.
Now, the manufacture of the engine is considered complete when either A9 or A10 are complete.
If the person has completed A7, he can work on A9 and complete it in 7 more days.
In this case, total time = 32 + 7 = 39 days If the person has completed A8, he can work on A10 and complete it in 9 more days.
In this case, total time = 33 + 9 = 42 days. Since the time is to be minimized, the required number of days = 39. Hence, option 3.

QUESTION: 13

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.

Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.

Q. If two individuals having the same efficiency work together, then what is the minimum number of days in which they can finish manufacturing an engine?

Solution:

The two individuals (say P and Q) can parallely work on two activities.
Say P starts A1 and Q starts A2 on Day 1.
So, A2 gets completed by Day 4 while A1 is still going on.
Since A3 requries completion of only A2, Q can immediately start it on Day 5 and finish it by Day 12.
Similarly, when A1 gets completed on Day 6, P can start A4 and work on it from Day 7 to Day 9. Since A3 is still going on, P can finish A6 from Day to Day 12.
Similarly, the progress of each activity is as shown in the table above. Since the engine is manufactured when either A9 or A10 are complete, the minimum number of days in which the manufacture is complete is 27 days (when A9 is completed).
Hence, option 4.

QUESTION: 14

Locomotive engines are manufactured in a factory at Rampur. The process of manufacturing an engine involves 10 different activities - Activity 1 to Activity 10. Some of these 10 activities cannot be started until other activities have been completed. For example Activity 3 cannot begin until Activity 2 has been completed and Activity 4 cannot begin until both Activities 1 and 2 are completed. The table below shows the minimum time required to complete each activity and the list of activities which must be completed before a particular activity can be started. The manufacturing process of an engine is said to be finished if at least one of activities A9 and A10 is completed.

Each activity can be undertaken by only one person at a time and one person can work on only one activity at a time.

Q. What is the minimum possible number of days in which any individual can finish manufacturing an engine working alone, if both A9 and A10 are to be completed?

Solution:

Solution: Consider the solution to the first question.
Since A9 as well as A10 are to be completed, all 10 activities have to be done.
Also, because the person is working alone, the total time taken is the sum of the time taken for the individual activities.
Minimum time = 6 + 4 + 8 + 3 + 4 + 3 + 4 + 8 + 7 + 9 = 56 days.
Hence, option 2.

QUESTION: 15

Group Question

Read the following situation and choose the best possible alternative.

Manisha is a 21-year-old MBA summer intern who has just been caught stealing Rs. 1000 from the petty cash fund in your office. This was because she wanted to party over the weekend and her internship cheque was expected to be credited in her bank account on Monday, after which she intended to put the money back in the petty cash fund. The Company has a strict policy that says that anyone who steals will be dismissed. Manisha’s mother works in another department in the Company for the past 15 years and she has come to see you, in person, to beg you not to “ruin Manisha’s life”. She also points out that she has seen many other employees take incidental office supplies like pencils and notepads home.

Q. Which of the following is going to be your decision?

Solution:

Solution: The company policy needs to be strictly adhered to. No leniency is to be shown once theft is established.
Option 2 is incorrect as it penalizes her mother.
Option 3 contravenes company policy.
Manisha’s dismissal is enough to send the message across- option 4 is unnecessary.
Option 5 is incorrect as it sidetracks the issue of Manisha’s misbehavior.
Hence, the correct answer is option 1.

QUESTION: 16

Manisha is a 21-year-old MBA summer intern who has just been caught stealing Rs. 1000 from the petty cash fund in your office. This was because she wanted to party over the weekend and her internship cheque was expected to be credited in her bank account on Monday, after which she intended to put the money back in the petty cash fund. The Company has a strict policy that says that anyone who steals will be dismissed. Manisha’s mother works in another department in the Company for the past 15 years and she has come to see you, in person, to beg you not to “ruin Manisha’s life”. She also points out that she has seen many other employees take incidental office supplies like pencils and notepads home.

Q. Is the way Manisha’s mother conducted herself in this case correct?

Solution:

Solution: Options 1 correctly explains why Manisha’s mother did not conduct herself correctly in this case.Options 2 and 3 are mere rhetoric. They do not take into account the severity of the situation.Option 4 is poorly worded and option 5 should have a ‘no’ instead of a ‘yes’ response according to the reason given. Hence, the correct answer is option 1.

QUESTION: 17

Group Question

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

Eduardo’s family had been in the banana cultivation business for many years. It all started when Eduardo’s grandfather realized that he could grow bananas next to the rail road lines he was building in Honduras. Sensing a lucrative opportunity, he invested much of his capital from his construction business into acquiring land for banana cultivation. When Eduardo’s father took charge of the business, the company owned as much as 70% of the farmland in Honduras. Eduardo had been closely working with his father and took over from him. He soon realized there were several issues plaguing the business. It was difficult to cultivate bananas on a large scale in the tropics and the narrow profit margins had forced Eduardo’s father to acquire forest land and clear it for cultivation.
This land, however, was depleting in nutrients and could not yield the same output. Many of these lands had to be abandoned after a few years of cultivation. This practice did not find favour with Eduardo; he decided he would adopt sustainable cultivation practices and restore the cultivability of the abandoned forest land. Unfortunately, the Honduran government was trying to acquire that land from the company without paying a just price. The government saw the step as a necessary part of land reform in the country.

Q. Should Eduardo sell the land to the Honduran government?

Solution:

Solution: Option 1 can be eliminated since it is defeatist in nature and it would lead to significant losses for the company in the long term, should they stick to such policies.
Option 3 can be eliminated too, since it shows that Eduardo has little conviction and confidence in his company’s potential.
Option 4 seems like a good choice, but like option 1, it would be a poor decision as it would not help the business grow in any manner.
Option 5 too, will not help the cultivation business expand. It would a penny wise, pound foolish measure.
Option 2 alone comes through as a good decision since both, Eduardo and the government will benefit from it. Hence, the correct answer is option 2.

QUESTION: 18

Eduardo’s family had been in the banana cultivation business for many years. It all started when Eduardo’s grandfather realized that he could grow bananas next to the rail road lines he was building in Honduras. Sensing a lucrative opportunity, he invested much of his capital from his construction business into acquiring land for banana cultivation. When Eduardo’s father took charge of the business, the company owned as much as 70% of the farmland in Honduras. Eduardo had been closely working with his father and took over from him. He soon realized there were several issues plaguing the business. It was difficult to cultivate bananas on a large scale in the tropics and the narrow profit margins had forced Eduardo’s father to acquire forest land and clear it for cultivation.
This land, however, was depleting in nutrients and could not yield the same output. Many of these lands had to be abandoned after a few years of cultivation. This practice did not find favour with Eduardo; he decided he would adopt sustainable cultivation practices and restore the cultivability of the abandoned forest land. Unfortunately, the Honduran government was trying to acquire that land from the company without paying a just price. The government saw the step as a necessary part of land reform in the country.

Q. The Sigatoka disease, which affects the roots of the banana plant making them wilt before they can be packaged for export had reduced the banana yield for Eduardo’s business. After much research, a copper sulphate mixture was developed to be sprayed on the crops. This could potentially be harmful to the workers who will be required to spray it.

What should be Eduardo’s course of action in this regard?

Solution:

Solution: All options other than option 4 show reckless disregard towards human life.It is important for Eduardo to realize that monetary compensation is no-trade off for asking employees to put their health at risk. This eliminates options 2 and 3.Options 1 and 5 are inconsiderate and apathetic; they look for ways to keep the blame away from the company rather than think of the best interests of its workers.It would be better for the company to invest in research to come up with a safer alternative, as mentioned in option 4. Hence, the correct answer is option 4.

QUESTION: 19

Eduardo’s family had been in the banana cultivation business for many years. It all started when Eduardo’s grandfather realized that he could grow bananas next to the rail road lines he was building in Honduras. Sensing a lucrative opportunity, he invested much of his capital from his construction business into acquiring land for banana cultivation. When Eduardo’s father took charge of the business, the company owned as much as 70% of the farmland in Honduras. Eduardo had been closely working with his father and took over from him. He soon realized there were several issues plaguing the business. It was difficult to cultivate bananas on a large scale in the tropics and the narrow profit margins had forced Eduardo’s father to acquire forest land and clear it for cultivation.
This land, however, was depleting in nutrients and could not yield the same output. Many of these lands had to be abandoned after a few years of cultivation. This practice did not find favour with Eduardo; he decided he would adopt sustainable cultivation practices and restore the cultivability of the abandoned forest land. Unfortunately, the Honduran government was trying to acquire that land from the company without paying a just price. The government saw the step as a necessary part of land reform in the country.

Q. Eduardo was lauded for the company’s performance as well its commitment towards protecting the environment. He has been asked to speak at a Cultivators’ Forum about the same.

Which of the following should not be a part of his advice to cultivators?

Solution:

Solution: Option 1 can be eliminated since it deals with being considerate towards all the stake holders of the company. Option 2 can be ruled out since Eduardo’s business suffered due to ill-considered investment in land.
Options 3 and 5 can be eliminated since they both concern sustainable cultivation.
Option 4 alone would not necessarily be a part of his advice since sustainable practices require a fair bit of innovation, therefore frugality in research could harm the company in the long run.
Hence, the correct answer is option 4.

QUESTION: 20

Group Question

Answer the following question based on the information given below.

There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn, is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.

Q. What is the maximum number of students who study History?

Solution:

Solution: The number of students who study English is greater than those who study Geography, which is greater than those who study History, and the total of all students is equal to 100,
To maximise the students who study history, we only need to compare students who study exactly 2 and who study exactly 3, as all these will come under the individual subjects (students studying exactly 1 subject will be 0).
This can be done by assigning 49 students to all 3 subjects and assigning 51 (18,17,16), which should be distributed as equally as possible, to students studying exactly 2 subjects.
The number of students who study history is the least (when compared to those studying English and Geography), the number of students studying history = 49 + 17 + 16 = 82
Hence, option 4.

QUESTION: 21

There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn, is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.

Q. What is the minimum number of students who study  English?

Solution:

Solution: The number of students studying English is given to be greater than the number of students studying either of the other two subjects and also greater than those studying exactly 2 or exactly 3 subjects.
To find the minimum number of students who study English, assign minimum values for those who study all the three (1) and those who study exactly 2 (keep students studying English and Geography as 2 and the other two sharing as 0) and distribute the remaining nearly equally (33 for English, 32 each for other subjects).
This is done to keep English as the highest number.
The minimum number of students who study English = 33 + 2 + 1 = 36
Hence, option 3.

QUESTION: 22

There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn, is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.

Q. If it is known that exactly half the students study English, then what is the maximum number of students who study all three?

Solution:

Solution: If exactly 50 students study English, the maximum values for Geography and History are 49 and 48. A maximum of 147 instances from 100 students. v The students who study exactly 3 is less than the number who study exactly 2, by trial and error we can say the maximum value of exactly 3 would be around 17. (17 x 3) + (18 x 2) + 19 + 20 + 21 = 147 instances from 17 + 18 + 19 + 20 + 21 =95 students v Number of students only add upto 95, maximum value of students who study exactly 3 is at most 16. (16 x 3) + (17 x 2) + 20 + 22 + 23 = 147 instances from 16 + 17 + 20 + 22 + 23 = 98 students We can see that 16 is also not possible and the solution would be 15: (15 x 3) + (17 x 2) + 21 + 23 + 24 = 147 instances from 15 + 17 + 21 + 23 + 24 = 100 students. Hence, option 3.

QUESTION: 23

There is a group of 100 students. They study one or more of the 3 subjects among Geography, History and English. The number of students studying English is more than the number of students studying Geography, which, in turn, is more than the number of students who study History, which in turn is more than the number of students who study exactly 2 out of the 3 subjects, which in turn, is more than the number of students who study all 3 subjects. It is known that at least one student studies all 3 subjects.

Q. What is the maximum number of students who study only Geography?

Solution:

Solution: To find the maximum number of students who study only Geography, we have to maximise both English and Geography and make all the other values as low as possible. This is possible in the following way:

The maximum number of students who study only Geography is 48. Hence, option 4.

QUESTION: 24

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:

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: 25

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:

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: 26

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?

Solution:

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: 27

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 Marks chosen by Sherpa Tinku?

Solution:

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: 28

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:

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: 29

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:

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: 30

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:

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.

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