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CAT Mini Mock Test - 8 - CAT MCQ


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30 Questions MCQ Test - CAT Mini Mock Test - 8

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CAT Mini Mock Test - 8 - Question 1

The end of the age of the internal combustion engine is in sight. There are small signs everywhere: the shift to hybrid vehicles is already under way among manufacturers. Volvo has announced it will make no purely petrol-engined cars after 2019...and Tesla has just started selling its first electric car aimed squarely at the middle classes: the Tesla 3 sells for $35,000 in the US, and 400,000 people have put down a small, refundable deposit towards one. Several thousand have already taken delivery, and the company hopes to sell half a million more next year. This is a remarkable figure for a machine with a fairly short range and a very limited number of specialised charging stations.

Some of it reflects the remarkable abilities of Elon Musk, the company's founder, as a salesman, engineer, and a man able to get the most out his factory workers and the governments he deals with...Mr Musk is selling a dream that the world wants to believe in.

This last may be the most important factor in the story. The private car is...a device of immense practical help and economic significance, but at the same time a theatre for myths of unattainable self-fulfilment. The one thing you will never see in a car advertisement is traffic, even though that is the element in which drivers spend their lives. Every single driver in a traffic jam is trying to escape from it, yet it is the inevitable consequence of mass car ownership.

The sleek and swift electric car is at one level merely the most contemporary fantasy of autonomy and power. But it might also disrupt our exterior landscapes nearly as much as the fossil fuel-engined car did in the last century. Electrical cars would of course pollute far less than fossil fuel-driven ones; instead of oil reserves, the rarest materials for batteries would make undeserving despots and their dynasties fantastically rich. Petrol stations would disappear. The air in cities would once more be breathable and their streets as quiet as those of Venice. This isn't an unmixed good. Cars that were as silent as bicycles would still be as dangerous as they are now to anyone they hit without audible warning.

The dream goes further than that. The electric cars of the future will be so thoroughly equipped with sensors and reaction mechanisms that they will never hit anyone. Just as brakes don't let you skid today, the steering wheel of tomorrow will swerve you away from danger before you have even noticed it...

This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either. Instead, they will work as taxis do, summoned at will but only for the journeys we actually need. This the future towards which Ubem.is working. The ultimate development of the private car will be to reinvent public transport. Traffic jams will be abolished only when the private car becomes a public utility. What then will happen to our fantasies of independence? We'll all have to take to electrically powered bicycles.

Q.

Which of the following statements best reflects the author's argument?

Detailed Solution for CAT Mini Mock Test - 8 - Question 1

The sentence "Ms Musk is selling a dream that the world wants to believe in" in the second paragraph gives a peep into the author's scepticism. The second sentence of the third paragraph talks about "unattainable self-fulfillment". The subsequent sentences talk about how the potential car-buyer is never told of the traffic jams which will rob him of independence. Thus, the myth of independence of the private car is perpetuated.

CAT Mini Mock Test - 8 - Question 2

The end of the age of the internal combustion engine is in sight. There are small signs everywhere: the shift to hybrid vehicles is already under way among manufacturers. Volvo has announced it will make no purely petrol-engined cars after 2019...and Tesla has just started selling its first electric car aimed squarely at the middle classes: the Tesla 3 sells for $35,000 in the US, and 400,000 people have put down a small, refundable deposit towards one. Several thousand have already taken delivery, and the company hopes to sell half a million more next year. This is a remarkable figure for a machine with a fairly short range and a very limited number of specialised charging stations.

Some of it reflects the remarkable abilities of Elon Musk, the company's founder, as a salesman, engineer, and a man able to get the most out his factory workers and the governments he deals with...Mr Musk is selling a dream that the world wants to believe in.

This last may be the most important factor in the story. The private car is...a device of immense practical help and economic significance, but at the same time a theatre for myths of unattainable self-fulfilment. The one thing you will never see in a car advertisement is traffic, even though that is the element in which drivers spend their lives. Every single driver in a traffic jam is trying to escape from it, yet it is the inevitable consequence of mass car ownership.

The sleek and swift electric car is at one level merely the most contemporary fantasy of autonomy and power. But it might also disrupt our exterior landscapes nearly as much as the fossil fuel-engined car did in the last century. Electrical cars would of course pollute far less than fossil fuel-driven ones; instead of oil reserves, the rarest materials for batteries would make undeserving despots and their dynasties fantastically rich. Petrol stations would disappear. The air in cities would once more be breathable and their streets as quiet as those of Venice. This isn't an unmixed good. Cars that were as silent as bicycles would still be as dangerous as they are now to anyone they hit without audible warning.

The dream goes further than that. The electric cars of the future will be so thoroughly equipped with sensors and reaction mechanisms that they will never hit anyone. Just as brakes don't let you skid today, the steering wheel of tomorrow will swerve you away from danger before you have even noticed it...

This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either. Instead, they will work as taxis do, summoned at will but only for the journeys we actually need. This the future towards which Ubem.is working. The ultimate development of the private car will be to reinvent public transport. Traffic jams will be abolished only when the private car becomes a public utility. What then will happen to our fantasies of independence? We'll all have to take to electrically powered bicycles.

Q.

The author points out all of the following about electric cars EXCEPT Options :​

Detailed Solution for CAT Mini Mock Test - 8 - Question 2

Option 4 is clearly false. Note the following in paragraph 6: ‘This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either’.
The other options are easily verified from paragraph 4.

CAT Mini Mock Test - 8 - Question 3

The end of the age of the internal combustion engine is in sight. There are small signs everywhere: the shift to hybrid vehicles is already under way among manufacturers. Volvo has announced it will make no purely petrol-engined cars after 2019...and Tesla has just started selling its first electric car aimed squarely at the middle classes: the Tesla 3 sells for $35,000 in the US, and 400,000 people have put down a small, refundable deposit towards one. Several thousand have already taken delivery, and the company hopes to sell half a million more next year. This is a remarkable figure for a machine with a fairly short range and a very limited number of specialised charging stations.

Some of it reflects the remarkable abilities of Elon Musk, the company's founder, as a salesman, engineer, and a man able to get the most out his factory workers and the governments he deals with...Mr Musk is selling a dream that the world wants to believe in.

This last may be the most important factor in the story. The private car is...a device of immense practical help and economic significance, but at the same time a theatre for myths of unattainable self-fulfilment. The one thing you will never see in a car advertisement is traffic, even though that is the element in which drivers spend their lives. Every single driver in a traffic jam is trying to escape from it, yet it is the inevitable consequence of mass car ownership.

The sleek and swift electric car is at one level merely the most contemporary fantasy of autonomy and power. But it might also disrupt our exterior landscapes nearly as much as the fossil fuel-engined car did in the last century. Electrical cars would of course pollute far less than fossil fuel-driven ones; instead of oil reserves, the rarest materials for batteries would make undeserving despots and their dynasties fantastically rich. Petrol stations would disappear. The air in cities would once more be breathable and their streets as quiet as those of Venice. This isn't an unmixed good. Cars that were as silent as bicycles would still be as dangerous as they are now to anyone they hit without audible warning.

The dream goes further than that. The electric cars of the future will be so thoroughly equipped with sensors and reaction mechanisms that they will never hit anyone. Just as brakes don't let you skid today, the steering wheel of tomorrow will swerve you away from danger before you have even noticed it...

This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either. Instead, they will work as taxis do, summoned at will but only for the journeys we actually need. This the future towards which Ubem.is working. The ultimate development of the private car will be to reinvent public transport. Traffic jams will be abolished only when the private car becomes a public utility. What then will happen to our fantasies of independence? We'll all have to take to electrically powered bicycles.

Q.

According to the author, the main reason for Tesla's remarkable sales is that​

Detailed Solution for CAT Mini Mock Test - 8 - Question 3

The world dreams of having full autonomy and Tesla is providing that which is the reason for Tesla’s remarkable sales.

CAT Mini Mock Test - 8 - Question 4

The end of the age of the internal combustion engine is in sight. There are small signs everywhere: the shift to hybrid vehicles is already under way among manufacturers. Volvo has announced it will make no purely petrol-engined cars after 2019...and Tesla has just started selling its first electric car aimed squarely at the middle classes: the Tesla 3 sells for $35,000 in the US, and 400,000 people have put down a small, refundable deposit towards one. Several thousand have already taken delivery, and the company hopes to sell half a million more next year. This is a remarkable figure for a machine with a fairly short range and a very limited number of specialised charging stations.

Some of it reflects the remarkable abilities of Elon Musk, the company's founder, as a salesman, engineer, and a man able to get the most out his factory workers and the governments he deals with...Mr Musk is selling a dream that the world wants to believe in.

This last may be the most important factor in the story. The private car is...a device of immense practical help and economic significance, but at the same time a theatre for myths of unattainable self-fulfilment. The one thing you will never see in a car advertisement is traffic, even though that is the element in which drivers spend their lives. Every single driver in a traffic jam is trying to escape from it, yet it is the inevitable consequence of mass car ownership.

The sleek and swift electric car is at one level merely the most contemporary fantasy of autonomy and power. But it might also disrupt our exterior landscapes nearly as much as the fossil fuel-engined car did in the last century. Electrical cars would of course pollute far less than fossil fuel-driven ones; instead of oil reserves, the rarest materials for batteries would make undeserving despots and their dynasties fantastically rich. Petrol stations would disappear. The air in cities would once more be breathable and their streets as quiet as those of Venice. This isn't an unmixed good. Cars that were as silent as bicycles would still be as dangerous as they are now to anyone they hit without audible warning.

The dream goes further than that. The electric cars of the future will be so thoroughly equipped with sensors and reaction mechanisms that they will never hit anyone. Just as brakes don't let you skid today, the steering wheel of tomorrow will swerve you away from danger before you have even noticed it...

This is where the fantasy of autonomy comes full circle. The logical outcome of cars which need no driver is that they will become cars which need no owner either. Instead, they will work as taxis do, summoned at will but only for the journeys we actually need. This the future towards which Ubem.is working. The ultimate development of the private car will be to reinvent public transport. Traffic jams will be abolished only when the private car becomes a public utility. What then will happen to our fantasies of independence? We'll all have to take to electrically powered bicycles.

Q.

The author comes to the conclusion that

Detailed Solution for CAT Mini Mock Test - 8 - Question 4

The author suggests that the future of transportation involves a shift from car ownership to using public transport. This transition arises from the development of advanced technology that may eventually lead to cars being controlled by automated systems, making them safer and more efficient than human drivers. While drivers often dream of autonomy, the reality may shift towards a model where personal cars are replaced by shared electric vehicles, functioning like taxis. This would not only reduce traffic but also change our perceptions of independence in transportation. Ultimately, the vision presented implies that the future of mobility may favour communal solutions over individual ownership.

CAT Mini Mock Test - 8 - Question 5

At a conference on folk forms, the author of the passage is least likely to agree with which one of the following views?

Detailed Solution for CAT Mini Mock Test - 8 - Question 5

Folk Forms and the Author's Disagreement:

A: Folk forms, in their ability to constantly adapt to the changing world, exhibit an unusual poise and homogeneity with each change.

 

  • The author is least likely to agree with this view.
  • The author mentions that folk songs exist in constant transformation.
  • According to the author, each rendition of a ballad is like an acorn falling from an oak tree, sowing the song anew.
  • The author emphasizes the tension in newness and highlights how purists were suspicious of folk songs recast in rock idioms.
  • The author's argument suggests that folk forms are not characterized by poise and homogeneity, but rather by constant change and adaptation.

 

B: The plurality and democratising impulse of folk forms emanate from the improvisation that its practitioners bring to it.

 

  • The author is likely to agree with this view.
  • The author mentions Cecil Sharp's belief that folk songs are constantly changing and being influenced by different singers.
  • This suggests that the improvisation and input from practitioners contribute to the plurality and democratising impulse of folk forms.

 

C: The power of folk resides in its contradictory ability to influence and be influenced by the present while remaining rooted in the past.

  • The author is likely to agree with this view.
  • The author mentions how folk is hip again and influences artists, clothing and furniture designers, music festivals, and more.
  • The author also highlights the obscurity and anonymity of folk music's origins, which allows for rampant imaginative fancies.
  • This implies that folk forms have the power to both influence and be influenced by the present while still retaining a connection to their historical roots.

D: Folk forms, despite their archaic origins, remain intellectually relevant in contemporary times.

 

  • The author is likely to agree with this view.
  • The author mentions how folk is celebrated at music festivals, awards ceremonies, and on TV.
  • The author also notes that folk music has been reissued on countless record labels, suggesting its continued relevance in contemporary times.
  • The author's argument throughout the passage emphasizes the ongoing influence and popularity of folk forms in modern society.

In conclusion, the author is least likely to agree with the view that folk forms exhibit an unusual poise and homogeneity with each change. The author's arguments suggest that folk forms are characterized by constant transformation, tension in newness, and the ability to influence and be influenced by the present while remaining rooted in the past.

 

CAT Mini Mock Test - 8 - Question 6

The primary purpose of the reference to William Morris and his floral prints is to show:

Detailed Solution for CAT Mini Mock Test - 8 - Question 6

The primary purpose of the reference to William Morris and his floral prints is to show:
- William Morris was a radical socialist and anti-capitalist conservationist.
- The phrase "Free of the taint of manufacture" is associated with his ideology.
- Morris believed in a pre-industrial golden age and opposed the capitalist system.
- The reference to his floral prints demonstrates that what was once considered radical or revolutionary can later become conformist or mainstream.
- The comparison between Morris's prints and folk music highlights the paradoxical nature of folk's current status as both fashionable and unfashionable.
- The passage suggests that folk music, like Morris's prints, has been reappropriated and commodified over time.
- The mention of Morris's influence on furniture and clothing designers further emphasizes the pervasive influence of folk on contemporary art and culture.
Therefore, the primary purpose of the reference to William Morris and his floral prints is to show that what was once regarded as radical in folk can later be seen as conformist.

CAT Mini Mock Test - 8 - Question 7

The author says that folk “may often appear a cosy, fossilised form” because:

Detailed Solution for CAT Mini Mock Test - 8 - Question 7


The author says that folk "may often appear a cosy, fossilised form" because:
1. Nostalgic association with a pre-industrial past:
- The phrase "Free of the taint of manufacture" is heavily loaded with the ideology of anti-capitalist conservationism, which solaces itself with the vision of a pre-industrial golden age.
- This nostalgic association with a simpler, pre-industrial past gives folk a sense of being a "cosy" and traditional form.
2. Arrogation for political and cultural purposes:
- The idea of folk, including who has the right to sing it, dance it, invoke it, collect it, belong to it, or appropriate it for political or cultural ends, has always been contested territory.
- Folk has been used and arrogated for various political and cultural purposes, which can give it a fossilized appearance.
3. Debates and disagreements:
- The notion of folk has always led to debates and disagreements.
- The right to sing, dance, and appropriate folk music has been contested, creating tensions and divisions within the folk community.
- This ongoing debate and contestation can give folk a sense of being a static, fossilized form.
Therefore, the correct answer is B: Of its nostalgic association with a pre-industrial past.

CAT Mini Mock Test - 8 - Question 8

Which of the following statements about folk revivalism of the 1940s and 1960s cannot be inferred from the passage?

Detailed Solution for CAT Mini Mock Test - 8 - Question 8

Statement A: Electrification of music would not have happened without the influence of rock music.
This statement cannot be inferred from the passage. The passage mentions that in the late 1960s, purists were suspicious of folk songs recast in rock idioms, suggesting that there was resistance to electrification of folk music. However, it does not explicitly state that electrification would not have happened without the influence of rock music.
Statement B: Even though it led to folk-rock's golden age, it wasn't entirely free from critique.
This statement can be inferred from the passage. The passage mentions that the second wave of folk revivalists in the 1940s and 1960s created the conditions for folk-rock's golden age. However, it also implies that this period has become ripe for fashionable emulation and pastiche, suggesting that it is not entirely free from critique.
Statement C: It reinforced Cecil Sharp's observation about folk's constant transformation.
This statement can be inferred from the passage. The passage mentions Cecil Sharp's belief that folk songs exist in constant transformation, with each rendition sowing the song anew. It also discusses how folk revivalists in the 1940s and 1960s were part of a living example of an art form in a perpetual state of renewal.
Statement D: Freedom and rebellion were popular themes during the second wave of folk revivalism.
This statement can be inferred from the passage. The passage mentions that the second wave of folk revivalists in the 1940s was driven by communism's dream of a post-revolutionary New Jerusalem. This suggests that freedom and rebellion were popular themes during this period.

CAT Mini Mock Test - 8 - Question 9

Direction: The sentences given in the question, when properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from the given choices to construct a coherent paragraph.

A. Delisting the content under the parameters of "the right to be forgotten" does not mean the information is taken down from the Internet, but that it's no longer readily available to the public through a simple search on an intermediary such as Google.

B. However, those who support this controversial legislation say people shouldn’t be unfairly dogged by inaccurate, irrelevant, or outdated information that turns up when their name is put into a search engine.

C. The Court of Justice of the European Union established a "right to be forgotten" in a landmark decision in May 2014, allowing Europeans to ask search engines to delist certain links from results they show based on searches for that person’s name.

D. A number of other countries, including Russia, have proposed their own versions of the right to be forgotten, which has led campaigners for freedom of expression to warn that such decisions could limit what content is readily available online in these countries.

Detailed Solution for CAT Mini Mock Test - 8 - Question 9

Sentence C introduces the “right to be forgotten"?, so it is likely to be the first sentence of the paragraph.

It says that Europeans, under this right, are allowed to ask search engines to delist certain links from search results.

Sentence A also talks of delisted links. It explains that delisted links are no longer readily available to the public through a simple search. So A follows C.

Sentences B and D offer contrasting views on the right to be forgotten. Whilst sentence D voices the concerns of campaigners of freedom of expression, sentence B talks of the stance of the supporters. B follows D.

The question is " Arrange the sentences in the correct order "
The order is CADB

Hence, the answer is CADB
Choice A is the correct answer.

CAT Mini Mock Test - 8 - Question 10

Which of the following four sentence is grammatically correct?

Detailed Solution for CAT Mini Mock Test - 8 - Question 10

The sentence is talking about three things. There is no need of commas within each part of the sentence. We can rule out options a) and b). The three parts of the sentence are independent clauses, so they are best separated by a semi-colon.

CAT Mini Mock Test - 8 - Question 11

Directions:
In each of the following questions, there are four sentences or parts of sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that is/are correct in terms of grammar and usage (including spelling, punctuation, and logical consistency). Then, choose the most appropriate option.

A. Mild showers turning gusty increasing to a storm today.
B. Any mention and explanation of the idea is likely to be dismissed.
C. Since becoming a Project Manger in April, I have been working in Bangalore.
D. It was a great concept and execution of the project.

Detailed Solution for CAT Mini Mock Test - 8 - Question 11
  • B is correct. Any makes the subject singular and the verb is correctly singular is.
  • A, C and D are awkward and incorrect.
  • Suggested Improvements:
    Mild showers will become gusty and increase to storm today.
    Since I became a Project Engineer in ...
    The project was well-conceived and nicely executed.
CAT Mini Mock Test - 8 - Question 12

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. The preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However, fries cannot be prepared in anticipation of future orders.

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.

The table below gives the orders of three clients and the times at which they placed their orders;

Q.

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.

At what time is the order placed by Client 1 completely served?

Detailed Solution for CAT Mini Mock Test - 8 - Question 12

We can see that, the order of Client 1 has 1 burger, 3 portions of fries and one ice cream
Start the fries (They will take 5 mins). While the fries are in progress, one of them can make Ice Cream (2 mins) and another can start on Burger. After 5 mins are over, Burger still needs 5 minutes more. So, the order will be prepared in 5 + 5 = 10 mins in total. So, the order will be served at 10:10.

CAT Mini Mock Test - 8 - Question 13

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. The preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders.

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.

The table below gives the orders of three clients and the times at which they placed their orders;

Q.

Assume that only one client's order can be processed at any given point of time. So, Anish or Bani cannot start preparing a new order while a previous order is being prepared.

At what time is the order placed by Client 3 completely served?

Detailed Solution for CAT Mini Mock Test - 8 - Question 13

We can see that, the order for client 1 got completed at 10:10.
The order for client will start at 10:10. Fries will take 5 mins and while the fries are getting prepared, Ice cream can be prepared by one of them. So, in total it will take 5 mins to process the order for Client 2.
We will start the order for Client 3 at 10:15. We will start with the fries first, while the fries are being prepared, one of them can start with Burger. Burger takes 10 mins, so after the fries are prepared, it will take additional 5 mins for the burger to get prepared. So, in total in total it will take 10 mins for the processing of the order of Client 3.
By 10:25, order of Client 3 will be prepared.

CAT Mini Mock Test - 8 - Question 14

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. The preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However fries cannot be prepared in anticipation of future orders.

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.

The table below gives the orders of three clients and the times at which they placed their orders;

Q.

Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.

At what time is the order placed by Client 2 completely served?

Detailed Solution for CAT Mini Mock Test - 8 - Question 14

The order for Client 2 will be served by 10:10. Even, Client 1 will get its order by 10:10 (because of burger)

CAT Mini Mock Test - 8 - Question 15

Healthy Bites is a fast food joint serving three items: burgers, fries and ice cream. It has two employees Anish and Bani who prepare the items ordered by the clients. The preparation time is 10 minutes for a burger and 2 minutes for an order of ice cream. An employee can prepare only one of these items at a time. The fries are prepared in an automatic fryer which can prepare up to 3 portions of fires at a time and takes 5 minutes irrespective of the number of portions. The fryer does not need an employee to constantly attend to it, and we can ignore the time taken by an employee to start and stop the fryer; thus, an employee can be engaged in preparing other items while the frying is on. However, fries cannot be prepared in anticipation of future orders.

Healthy Bites wishes to serve the orders as early as possible. The individual items in any order are served as and when ready; however, the order is considered to be completely served only when all the items of that order are served.

The table below gives the orders of three clients and the times at which they placed their orders;

Q.

Suppose the employees are allowed to process multiple orders at a time, but the preference would be to finish orders of clients who placed their orders earlier.

Also assume that the fourth client came in only at 10:35. Between 10:00 and 10:30, for how many minutes is exactly one of the employees idle?

Detailed Solution for CAT Mini Mock Test - 8 - Question 15

As per the timeline, one person will be idle during 2-5, 10-15 and 15-17.
So, 3+5+2 = 10 minutes.
Exactly one person will be idle for 10 minutes.

CAT Mini Mock Test - 8 - Question 16

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

In the corporate sector, approximately how many degrees should be there in the central angle ?

Detailed Solution for CAT Mini Mock Test - 8 - Question 16

34 x 3.6 = 122.4 (since 1% = 3.6 degrees)

CAT Mini Mock Test - 8 - Question 17

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors

If the investment by NRI's are Rs 4,000 crore, then the investments by corporate houses and FII's together is:

Detailed Solution for CAT Mini Mock Test - 8 - Question 17

(67/11) x 4000 = 24 363.6364

CAT Mini Mock Test - 8 - Question 18

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

What percentage of the total investment is coming from FII's and NRI's ?

Detailed Solution for CAT Mini Mock Test - 8 - Question 18

(33 + 11) = 44

CAT Mini Mock Test - 8 - Question 19

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

If the total investment other than by FII and corporate houses is Rs 335,000 crore, then the investment by NRI's and Offshore funds will be (approximately) ?

Detailed Solution for CAT Mini Mock Test - 8 - Question 19

Investment other than NRI and corporate houses is 33% = 335000. Also, investment by offshore funds and NRI's is equal to 27%.

Hence, 27 x 335,000/33 = 274 090.909

CAT Mini Mock Test - 8 - Question 20

The following pie chart shows the amount of subscriptions generated for India Bonds from different categories of investors.

If the total investment flows from FII's were to be doubled in the next year and the investment flows from all other sources had remained constant at their existing levels for this year, then what would be the proportion of FII investment in the total investment into India Bonds next year (in US $ millions) ?

Detailed Solution for CAT Mini Mock Test - 8 - Question 20

FII's currently account for 33 out of 100.

If their value is doubled and all other investments are kept constant then their new value would be 66 out of 133 = approximately equal to 50%

CAT Mini Mock Test - 8 - Question 21

A red light flashes three times per minute and a green light flashes five times in 2 min at regular intervals. If both lights start flashing at the same time, how many times do they flash together in each hour?

Detailed Solution for CAT Mini Mock Test - 8 - Question 21

Step 1: Frequency of each light

  • Red light: 3 flashes per minute → interval = 60 ÷ 3 = 20 seconds.

  • Green light: 5 flashes in 2 minutes = 2.5 per minute → interval = 60 ÷ 2.5 = 24 seconds.

So red flashes every 20 seconds, green every 24 seconds.

Step 2: When do they meet?

They flash together every LCM of 20 and 24 seconds.

  • 20 = 2 × 2 × 5

  • 24 = 2 × 2 × 2 × 3

  • LCM = 2 × 2 × 2 × 3 × 5 = 120 seconds.

So they coincide every 120 seconds = 2 minutes.

Step 3: Count in 1 hour

  • 1 hour = 60 minutes.

  • Coincide every 2 minutes.

  • Number of coincidences = 60 ÷ 2 = 30.


Quick Check (shortcut)

In 2 minutes, red flashes 6 times, green flashes 5 times. They only meet once (at the start).
So in 60 minutes = 60 ÷ 2 = 30 times.

CAT Mini Mock Test - 8 - Question 22

If the difference of (1025 - 7) and (1024 + x) is divisible by 3, then x is equal to:

Detailed Solution for CAT Mini Mock Test - 8 - Question 22

Given that (1025 - 7) - (1024 + x) is divisible by 3:

  • Start with the expression: 1025 - 7 - 1024 - x.
  • Factor out 1024:
    • Resulting in: 1024(10 - x) - 7.
  • The simplified form is: 9 × 1024 - 7 - x.

For the expression to be divisible by 3, we find:

  • Setting 9 × 1024 - 7 - x equal to 0 modulo 3.
  • We can derive that the value of x = 2.

Therefore, the correct option is B.

CAT Mini Mock Test - 8 - Question 23

A, B and C individually can finish a work in 6, 8 and 15 hours respectively. They started the work together and after completing the work got Rs.94.60 in all. When they divide the money among themselves, A, B and C will respectively get (in Rs.)

Detailed Solution for CAT Mini Mock Test - 8 - Question 23

Money will be distributed in the ratio of work done in an hour.
i.e. 1/6 : 1/8 : 1/15
or 20:15:8
Hence part of A will be = 20/43 × 94.6 = 44
part of B will be = 15/43 ×  94.6 = 33
part of C will be = 8/43 × 94.6 = 17.60

CAT Mini Mock Test - 8 - Question 24

A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

Detailed Solution for CAT Mini Mock Test - 8 - Question 24

Considering the three kinds of tea are A, B, and C.

The price of kind A = Rs 800 per kg.

The price of kind B = Rs 500 per kg.

The price of kind C = Rs 300 per kg.

They were mixed in the ratio of 2 : 3: 5.

1/6 of the total mixture is sold for Rs 700 per kg.

Assuming the ratio of mixture to A = 12kg, B = 18kg, C =30 kg.

The total cost price is 800 * 12 + 500 * 18 + 300 * 30 = Rs 27600.

Selling 1/6 which is 10kg for Rs 700/kg the revenue earned is Rs 7000.

In order to have an overall profit of 50 percent on Rs 27600.

Thes selling price of the 60 kg is Rs 27600 * 1.5 = Rs 41400.

Hence he must sell the remaining 50 kg mixture for Rs 41400 – Rs 7000 = 34400.

Hence the price per kg is Rs 34400/50 = Rs 688

CAT Mini Mock Test - 8 - Question 25

By selling a CD for Rs 150, a shop owner lost 1/16 of what it costs. What is the cost price of CD?

Detailed Solution for CAT Mini Mock Test - 8 - Question 25

Step 1: Let the cost price be C.

Step 2: Loss = (1/16) of cost price = C × (1/16)

Step 3: Selling price = Cost price − Loss
150 = C − (C × 1/16)
150 = C × (1 − 1/16)
150 = C × (15/16)

Step 4: Solve for C
C = 150 × (16/15) = 160

Answer: d) Rs 160

CAT Mini Mock Test - 8 - Question 26

A train approaches a tunnel PQ which is 16 m long. Two rabbits A and B are standing at points which are 12 m and 8 m inside the tunnel with respect to the entrance P. When the train is x m away from P, A starts running towards P and B towards Q. Difference between the ratios of the speed of A to that of the train and the ratio of the speed of B to that of train is 1/8. How much can the distance x be, if both of them get caught at the ends of the tunnel?

Detailed Solution for CAT Mini Mock Test - 8 - Question 26

Correct Answer :- c

Explanation :

  • As D = S x T (Distance =  Speed x Time)
  • D is directly proportional to S.
  • SA/ST = 12/x............(1)
  • SB/ST = 8/(x+16)........(2)
  • Subtract (1) from (2)
  • 12/x - 8/(x+16) = 1/8
  • On Solving We get, 
  • x = 48
CAT Mini Mock Test - 8 - Question 27

A sphere of radius r is cut by a plane at a distance of h from its center, thereby breaking this sphere into two different pieces. The cumulative surface area of these two pieces is 25% more than that of the sphere. Find h.

Detailed Solution for CAT Mini Mock Test - 8 - Question 27

Area = 4πr2

 

 

CAT Mini Mock Test - 8 - Question 28

Suppose k is any integer such that the equation 2x2 + kx + 5 = 0 has no real roots and the equation x2 + (k - 5)x + 1 = 0 has two distinct real roots for x. Then, the number of possible values of k is

Detailed Solution for CAT Mini Mock Test - 8 - Question 28

2x2 + kx + 5 = 0 has no real roots ⇒ D < 0
⇒ k2 – 4 × 2 × 5 < 0
⇒ k2 < 40
⇒ -√40 < k < √40
∴ Possible integral values of k are -6, -5, -4, …, 0, …4, 5, 6   …(1)

Also, x2 + (k - 5)x + 1 = 0 has two distinct roots ⇒ D > 0
⇒ (k - 5)2 – 4 × 1 × 1 > 0
⇒ k2 + 25 – 10k – 4 > 0
⇒ k2 – 10k + 21 > 0
⇒ (k - 7)(k - 3) > 0
⇒ k ∈ (-∞, 3) ∪ (7, ∞)   …(2)

The integral value of k satisfying both (1) and (2) are
-6, -5, -4, -3, -2, -1, 0, 1, 2 i.e., 9 values.

Hence, option (c).

CAT Mini Mock Test - 8 - Question 29

If f(x) = x2 and g(x) = logex, then f(x) + g(x) will be

Detailed Solution for CAT Mini Mock Test - 8 - Question 29

(x2 + loge x) would be neither odd nor even since it obeys neither of the rules for even function
(f(x) = f(–x)) nor for odd functions (f(x) = –f(–x)).

CAT Mini Mock Test - 8 - Question 30

A train 360 m long runs with a speed of 45 km/hr. What time will it take to pass a platform of 140 m long?

Detailed Solution for CAT Mini Mock Test - 8 - Question 30

Formula For Converting From Km/hr to m/s:
Xkm/hr = X × 5/18m/s
Therefore, Speed = 45 × 5/18m/sec
= 252m/sec
Total Distance To Be covered = (360+140)m=500m
Formula for finding
Time = Distance/Speed
∴ Requiredtime = (500×20/25sec
= 40sec.

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