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Group Question
Answer the following question based on the information given below.

On a TV channel, five programs - P, Q, R, S and T - were scheduled to be telecast on a particular day in the given order. However, due to some unavoidable circumstances, the schedule had to be changed at the eleventh hour. The scheduling in-charge gave this assignment to some summer trainees. Each trainee came up with a unique acceptable schedule which satisfied the following conditions:
1. The number of programs scheduled before P was the same as the number of programs scheduled after Q.
2. T was neither scheduled first nor last.
3. S was scheduled after T but before Q. 
 
 
Q. What is the maximum number of trainees to whom the scheduling in charge could have given this assignment?
  • a)
    2
  • b)
    3
  • c)
    4
  • d)
    Cannot be determined
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
Group QuestionAnswer the following question based on the information g...
Each trainee came up with a unique acceptable schedule.
So, maximum number of trainees = maximum number of unique acceptable schedules S was scheduled after T but before Q. So, Q could not have been scheduled first or second.
Now, the number of programs scheduled before P = number of programs scheduled after Q.
Since Q was not first or second, there are two cases possible: 
Case 1 : __P __ Q __
Case 2 : P _ _ _ Q
Since T was not scheduled first or last, T has to be third in case 1 and can take any place in case 2.
Consider case 1: P T Q Here, S cannot be scheduled after T and before Q. So, this case is invalid. Thus, only case 2 is valid.
Now, there are three possible combinations where S is scheduled after T but before Q.
P T S R Q
P T R S Q
P R T S Q
Since the maximum number of unique acceptable schedules is 3, the maximum number of trainees is also 3.
Hence, option 2.
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Directions for Questions: Answer the questions on the basis of information given below.A farmer has 60 hens in his poultry farm. Each of these 60 hens lays one egg per day. On each day out of the eggs laid, some of the eggs are found to be rotten and some of the eggs get broken. Only the eggs that are neither rotten nor broken are taken to the market for sale but due to some unavoidable reasons some eggs are not sold. The eggs that are not sold are brought back to the poultry farm.(2014)Additional Information Given:I. Out of the eggs that are brought back on each day, 40% are rotten and 20% are broken the next morning (and they are always integers).II. Out of the eggs that are brought back to the poultry farm on each day, the eggs that are neither broken nor rotten are taken along with the eggs that are laid by the hens on the next day to the market for sale.III. On any particular day the number of eggs that are not sold is less than 20% of the number of eggs that are taken to be sold out of the eggs that are laid on each day.IV. Out of the eggs that are laid on each day, the number of eggs that are rotten is greater than 1 but less than 5 and the number of eggs that got broken is greater than 3 and less than 7.V. Every week has five days and each week starts from day 1 and ends on day 5. Assume there are no eggs with the farmer at the beginning of day 1 of the given week.Q.What can be the maximum number of eggs (that are unbroken and not rotten) that were left unsold at the end of the fifth day?

Group QuestionAnswer the questions based on the passage given below.The annual labour of every nation is the fund which originally supplies it with all the necessaries and conveniencies of life which it annually consumes, and which consist always either in the immediate produce of that labour, or in what is purchased with that produce from other nations.According, therefore, as this produce, or what is purchased with it, bears a greater or smaller proportion to the number of those who are to consume it, the nation will be better or worse supplied with all the necessaries and conveniencies for which it has occasion.But this proportion must in every nation be regulated by two different circumstances: first, by the skill, dexterity, and judgment with which its labour is generally applied; and, secondly, by the proportion between the number of those who are employed in useful labour, and that of those who are not so employed. Whatever be the soil, climate, or extent of territory of any particular nation, the abundance or scantiness of its annual supply must, in that particular situation, depend upon those two circumstances.The abundance or scantiness of this supply, too, seems to depend more upon the former of those two circumstances than upon the latter. Among the savage nations of hunters and fishers, every individual who is able to work is more or less employed in useful labour, and endeavours to provide, as well as he can, the necessaries and conveniencies of life, for himself, and such of his family or tribe as are either too old, or too young, or too infirm, to go a-hunting and fishing.Such nations, however, are so miserably poor, that, from mere want, they are frequently reduced, or at least think themselves reduced, to the necessity sometimes of directly destroying, and sometimes of abandoning their infants, their old people, and those afflicted with lingering diseases, to perish with hunger, or to be devoured by wild beasts. Among civilized and thriving nations, on the contrary, though a great number of people do not labour at all, many of whom consume the produce often times, frequently of a hundred times, more labour than the greater part of those who work; yet the produce of the whole labour of the society is so great, that all are often abundantly supplied; and a workman, even of the lowest and poorest order, if he is frugal and industrious, may enjoy a greater share of the necessaries and conveniencies of life than it is possible for any savage to acquire.The causes of this improvement in the productive powers of labour, and the order according to which its produce is naturally distributed among the different ranks and conditions of men in the society, make the subject of the first book of this Inquiry.Whatever be the actual state of the skill, dexterity, and judgment, with which labour is applied in any nation, the abundance or scantiness of its annual supply must depend, during the continuance of that state, upon the proportion between the number of those who are annually employed in useful labour, and that of those who are not so employed. The number of useful and productive labourers, it will hereafter appear, is everywhere in proportion to the quantity of capital stock which is employed in setting them to work, and to the particular way in which it is so employed. The second book, therefore, treats of the nature of capital stock, of the manner in which it is gradually accumulated, and of the different quantities of labour which it puts into motion, according to the different ways in which it is employed.Nations tolerably well advanced as to skill, dexterity, and judgment, in the application of labour, have followed very different plans in the general conduct or direction of it; and those plans have not all been equally favourable to the greatness of its produce. The policy of some nations has given extraordinary encouragement to the industry of the country; that of others to the industry of towns. Scarce any nation has dealt equally and impartially with every sort of industry. Since the down-fall of the Roman empire, the policy of Europe has been more favourable to arts, manufactures, and commerce, the industry of towns, than to agriculture, the Industry of the country. The circumstances which seem to have introduced and established this policy are explained in the third book.Though those different plans were, perhaps, first introduced by the private interests and prejudices of particular orders of men, without any regard to, or foresight of, their consequences upon the general welfare of the society; yet they have given occasion to very different theories of political economy; of which some magnify the importance of that industry which is carried on in towns, others of that which is carried on in the country. Those theories have had a considerable influence, not only upon the opinions of men of learning, but upon the public conduct of princes and sovereign states. 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Group QuestionAnswer the questions based on the passage given below.The annual labour of every nation is the fund which originally supplies it with all the necessaries and conveniencies of life which it annually consumes, and which consist always either in the immediate produce of that labour, or in what is purchased with that produce from other nations.According, therefore, as this produce, or what is purchased with it, bears a greater or smaller proportion to the number of those who are to consume it, the nation will be better or worse supplied with all the necessaries and conveniencies for which it has occasion.But this proportion must in every nation be regulated by two different circumstances: first, by the skill, dexterity, and judgment with which its labour is generally applied; and, secondly, by the proportion between the number of those who are employed in useful labour, and that of those who are not so employed. Whatever be the soil, climate, or extent of territory of any particular nation, the abundance or scantiness of its annual supply must, in that particular situation, depend upon those two circumstances.The abundance or scantiness of this supply, too, seems to depend more upon the former of those two circumstances than upon the latter. Among the savage nations of hunters and fishers, every individual who is able to work is more or less employed in useful labour, and endeavours to provide, as well as he can, the necessaries and conveniencies of life, for himself, and such of his family or tribe as are either too old, or too young, or too infirm, to go a-hunting and fishing.Such nations, however, are so miserably poor, that, from mere want, they are frequently reduced, or at least think themselves reduced, to the necessity sometimes of directly destroying, and sometimes of abandoning their infants, their old people, and those afflicted with lingering diseases, to perish with hunger, or to be devoured by wild beasts. Among civilized and thriving nations, on the contrary, though a great number of people do not labour at all, many of whom consume the produce often times, frequently of a hundred times, more labour than the greater part of those who work; yet the produce of the whole labour of the society is so great, that all are often abundantly supplied; and a workman, even of the lowest and poorest order, if he is frugal and industrious, may enjoy a greater share of the necessaries and conveniencies of life than it is possible for any savage to acquire.The causes of this improvement in the productive powers of labour, and the order according to which its produce is naturally distributed among the different ranks and conditions of men in the society, make the subject of the first book of this Inquiry.Whatever be the actual state of the skill, dexterity, and judgment, with which labour is applied in any nation, the abundance or scantiness of its annual supply must depend, during the continuance of that state, upon the proportion between the number of those who are annually employed in useful labour, and that of those who are not so employed. The number of useful and productive labourers, it will hereafter appear, is everywhere in proportion to the quantity of capital stock which is employed in setting them to work, and to the particular way in which it is so employed. The second book, therefore, treats of the nature of capital stock, of the manner in which it is gradually accumulated, and of the different quantities of labour which it puts into motion, according to the different ways in which it is employed.Nations tolerably well advanced as to skill, dexterity, and judgment, in the application of labour, have followed very different plans in the general conduct or direction of it; and those plans have not all been equally favourable to the greatness of its produce. The policy of some nations has given extraordinary encouragement to the industry of the country; that of others to the industry of towns. Scarce any nation has dealt equally and impartially with every sort of industry. Since the down-fall of the Roman empire, the policy of Europe has been more favourable to arts, manufactures, and commerce, the industry of towns, than to agriculture, the Industry of the country. The circumstances which seem to have introduced and established this policy are explained in the third book.Though those different plans were, perhaps, first introduced by the private interests and prejudices of particular orders of men, without any regard to, or foresight of, their consequences upon the general welfare of the society; yet they have given occasion to very different theories of political economy; of which some magnify the importance of that industry which is carried on in towns, others of that which is carried on in the country. Those theories have had a considerable influence, not only upon the opinions of men of learning, but upon the public conduct of princes and sovereign states. 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Group QuestionAnswer the following question based on the information given below.On a TV channel, five programs - P, Q, R, S and T - were scheduled to be telecast on a particular day in the given order. However, due to some unavoidable circumstances, the schedule had to be changed at the eleventh hour. The scheduling in-charge gave this assignment to some summer trainees. Each trainee came up with a unique acceptable schedule which satisfied the following conditions:1. The number of programs scheduled before P was the same as the number of programs scheduled after Q.2. T was neither scheduled first nor last.3. S was scheduled after T but before Q.Q. What is the maximum number of trainees to whom the scheduling incharge could have given this assignment?a)2b)3c)4d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer?
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Solutions for Group QuestionAnswer the following question based on the information given below.On a TV channel, five programs - P, Q, R, S and T - were scheduled to be telecast on a particular day in the given order. However, due to some unavoidable circumstances, the schedule had to be changed at the eleventh hour. The scheduling in-charge gave this assignment to some summer trainees. Each trainee came up with a unique acceptable schedule which satisfied the following conditions:1. The number of programs scheduled before P was the same as the number of programs scheduled after Q.2. T was neither scheduled first nor last.3. S was scheduled after T but before Q.Q. What is the maximum number of trainees to whom the scheduling incharge could have given this assignment?a)2b)3c)4d)Cannot be determinedCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
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