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cat 2023 Complete Paper Solution | Slot 3

Question 1.

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There are only three female students – Amala, Koli and Rini – and only three male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.

1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.
2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
3. Amala's score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but less than her in the test.

What was Rini's score in the project?

A
B
C
D

Question 2.

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The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.

The biggest challenge [The Nutmeg's Curse by Ghosh] throws down is to the prevailing understanding of when the climate crisis started. Most of us have accepted . . . that it started with the widespread use of coal at the beginning of the Industrial Age in the 18th century and worsened with the mass adoption of oil and natural gas in the 20th. Ghosh takes this history at least three centuries back, to the start of European colonialism in the 15th century. He [starts] the book with a 1621 massacre by Dutch invaders determined to impose a monopoly on nutmeg cultivation and trade in the Banda islands in today's Indonesia. Not only do the Dutch systematically depopulate the islands through genocide, they also try their best to bring nutmeg cultivation into plantation mode. These are the two points to which Ghosh returns through examples from around the world. One, how European colonialists decimated not only indigenous populations but also indigenous understanding of the relationship between humans and Earth. Two, how this was an invasion not only of humans but of the Earth itself, and how this continues to the present day by looking at nature as a 'resource' to exploit. . . . We know we are facing more frequent and more severe heatwaves, storms, floods, droughts and wildfires due to climate change. We know our expansion through deforestation, dam building, canal cutting – in short, terraforming, the word Ghosh uses – has brought us repeated disasters . . . Are these the responses of an angry Gaia who has finally had enough? By using the word 'curse' in the title, the author makes it clear that he thinks so. I use the pronoun 'who' knowingly, because Ghosh has quoted many non-European sources to enquire into the relationship between humans and the world around them so that he can question the prevalent way of looking at Earth as an inert object to be exploited to the maximum. As Ghosh's text, notes and bibliography show once more, none of this is new. There have always been challenges to the way European colonialists looked at other civilisations and at Earth. It is just that the invaders and their myriad backers in the fields of economics, politics, anthropology, philosophy, literature, technology, physics, chemistry, biology have dominated global intellectual discourse. . . . There are other points of view that we can hear today if we listen hard enough. Those observing global climate negotiations know about the Latin American way of looking at Earth as Pachamama (Earth Mother). They also know how such a framing is just provided lip service and is ignored in the substantive portions of the negotiations. In The Nutmeg's Curse, Ghosh explains why. He shows the extent of the vested interest in the oil economy – not only for oil-exporting countries, but also for a superpower like the US that controls oil drilling, oil prices and oil movement around the world. Many of us know power utilities are sabotaging decentralised solar power generation today because it hits their revenues and control. And how the other points of view are so often drowned out.

On the basis of information in the passage, which one of the following is NOT a reason for the failure of policies seeking to address climate change?

A
The greed of organisations benefiting from non-renewable energy resources.
B
The marginalised status of non-European ways of looking at nature and the environment.
C
The decentralised characteristic of renewable energy resources like solar power.
D
The global dominance of oil economies and international politics built around it.

Question 3.

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For a real number x , if 12,log3(2x9)log34\frac{1}{2}, \frac{\log _3\left(2^x-9\right)}{\log _3 4}, and log5(2x+172)log54\frac{\log _5\left(2^x+\frac{17}{2}\right)}{\log _5 4} are in an arithmetic progression, then the common difference is

A
log47\log _4 7
B
log4(32)\log _4\left(\frac{3}{2}\right)
C
log4(72)\log _4\left(\frac{7}{2}\right)
D
log4(232)\log _4\left(\frac{23}{2}\right)

Question 4.

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Which one of the following best explains the primary purpose of the discussion of the colonisation of the Banda islands in "The Nutmeg's Curse"?

A
To illustrate how systemic violence against the colonised constituted the cornerstone of colonialism.
B
To illustrate the first instance in history when the processes responsible for climate change were initiated.
C
To illustrate the role played by the cultivation of certain crops in the plantation mode in contributing to climate change.
D
To illustrate how colonialism represented and perpetuated the mindset that has led to climate change.

Question 5.

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There are only three female students – Amala, Koli and Rini – and only three male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.

1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.
2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
3. Amala's score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but less than her in the test.

What was the weight of the test component?

A
0.75
B
0.50
C
0.60
D
0.40

Question 6.

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Let n and m be two positive integers such that there are exactly 41 integers greater than 8m8^m and less then 8n8^n, which can be expressed as powers of 2. Then, the smallest possible value of n + m is

A
14
B
42
C
16
D
44

Question 7.

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There are only three female students – Amala, Koli and Rini – and only three male students – Biman, Mathew and Shyamal – in a course. The course has two evaluation components, a project and a test. The aggregate score in the course is a weighted average of the two components, with the weights being positive and adding to 1.

The projects are done in groups of two, with each group consisting of a female and a male student. Both the group members obtain the same score in the project.

The following additional facts are known about the scores in the project and the test.

1. The minimum, maximum and the average of both project and test scores were identical – 40, 80 and 60, respectively.
2. The test scores of the students were all multiples of 10; four of them were distinct and the remaining two were equal to the average test scores.
3. Amala's score in the project was double that of Koli in the same, but Koli scored 20 more than Amala in the test. Yet Amala had the highest aggregate score.
4. Shyamal scored the second highest in the test. He scored two more than Koli, but two less than Amala in the aggregate.
5. Biman scored the second lowest in the test and the lowest in the aggregate.
6. Mathew scored more than Rini in the project, but less than her in the test.

What was the maximum aggregate score obtained by the students?

A
66
B
68
C
80
D
62

Question 8.

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For some real numbers a and b, the system of equations x + y = 4 and (a+5)x+(b215)y=8b(a+5) x+\left(b^2-15\right) y=8 b has infinitely many solutions for x and y. Then, the maximum possible value of ab is

A
15
B
33
C
55
D
25

Question 9.

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All of the following can be inferred from the reviewer's discussion of "The Nutmeg's Curse", EXCEPT:

A
academic discourses have always served the function of raising awareness about environmental preservation.
B
environmental preservation policy makers can learn a lot from non-European and/or pre-colonial societies.
C
the contemporary dominant perception of nature and the environment was put in place by processes of colonialism.
D
the history of climate change is deeply intertwined with the history of colonialism.

Question 10.

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Which one of the following, if true, would make the reviewer's choice of the pronoun "who" for Gaia inappropriate?

A
Modern western science discovers new evidence for the Earth being an inanimate object.
B
Ghosh's book has a different title: "The Nutmeg's Revenge".
C
Non-European societies have perceived the Earth as a non-living source of all resources.
D
There is a direct cause–effect relationship between human activities and global climate change.
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