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CAT 2003 | Question: 2-65b
Consider a cylinder of height $h$ cms and radius $r=\frac{2}{\pi}$ cms as shown in the figure (not drawn to scale). A string of a certain length, when wound on its cylindrical ... $?$h=\sqrt{2}n$h=\sqrt{17}n$h=n$h=\sqrt{13}n$
makhdoom ghaya
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makhdoom ghaya
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Quantitative Aptitude
quantitative-aptitude
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 1
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.In $2006$, the Met [art museum in ... property, but instead resulted in the with holding of national treasure from museums.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 2
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.In $2006$, the Met [art museum in ... discoveries.give a boost to the tourism sector.are subject to strict patrimony laws.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 3
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.In $2006$, the Met [art ... archaeological exploration in the source country reaping the benefits of cutting-edge techniques.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 4
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.In $2006$, the Met ... century.UNESCO finances archaeological research in poor, but archaeologically-rich source countries.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 5
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Steven Pinker's new book, ... behaviour.indicate the various similarities between their thinking and Pinker's conclusions.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 6
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Steven Pinker's new book, "Rationality: ... stem from flashes of intuition and are not always propelled by logical thinking.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 7
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Steven Pinker's new book, ... events.helps people to gain expertise in statistics and other scientific disciplines.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 8
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Steven Pinker's new book, "Rationality: ... of underlying assumptions in an argument and gaps in one's own knowledge.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 9
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Understanding romantic ... general analysis impossible.seek to discredit Lovejoy's scepticism regarding romanticism.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 10
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Understanding romantic aesthetics ... .Romantic aesthetics are primarily expressed through fragments, aphorisms, and poems.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 11
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Understanding romantic aesthetics is not ... aspects of life.permeates all aspects of human life, philosophical and mundane.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 12
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Understanding romantic aesthetics is ... contours of the domain.controversial and scandalous history of romantic literature.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 13
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.The biggest challenge [The Nutmeg' ... Modern western science discovers new evidence for the Earth being an inanimate object.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 14
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 ... the history of climate change is deeply intertwined with the history of colonialism.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 15
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 ... marginalised status of non-European ways of looking at nature and the environment.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 16
The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.The biggest challenge [The Nutmeg' ... instance in history when the processes responsible for climate change were initiated.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 17
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option $1, 2, 3$ or $4$) the following sentence ... fact occur in human communicative practices.Option $2$Option $1$Option $4$Option $3$
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 18
There is a sentence that is missing in the paragraph below. Look at the paragraph and decide where (option $1, 2, 3$, or $4$ ) the following ... ' that obstructs sustainable peacebuilding efforts.Option $2$Option $1$Option $4$Option $3$
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 19
Five jumbled up sentences (labelled $1, 2, 3, 4$ and $5$), related to a topic, are given below. Four of them can be put together to form a ... spent the last few years of her life unable to converse with anyone in her mother tongue.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 20
Five jumbled up sentences (labelled $1, 2, 3, 4$ and $5$), related to a topic, are given below. Four of them can be put together to form a ... a natural response to three years of the pandemic" says a senior recruiter at Cenlar FSB.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 21
The four sentences (labelled $1, 2,3$ and $4$) given below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing of ... learning no longer required the presence of a mentor; it could be done privately.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 22
The four sentences (labelled $1, 2, 3$ and $4$) given below, when properly sequenced, would yield a coherent paragraph. Decide on the proper sequencing ... tease apart the tangle of materials in mobile phones, computers and other e-waste.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 23
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.The weight of society's ... consciousness that people are willing to go to any lengths to achieve it.
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CAT 2023 Set-3 | Verbal Ability and Reading Comprehension | Question: 24
The passage given below is followed by four alternate summaries. Choose the option that best captures the essence of the passage.Gradually, life for the island's birds ... , and there has been a revival of a variety of birds and plants.
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 1
If $x$ is a positive real number such that $x^{8}+\left(\frac{1}{x}\right)^{8}=47$, then the value of $x^{9}+\left(\frac{1}{x}\right)^{9}$ is$34 \sqrt{5}$40 \sqrt{5}$36 \sqrt{5}$30 \sqrt{5}$
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 2
Let $n$ and $m$ be two positive integers such that there are exactly $41$ integers greater than $8^{m}$ and less than $8^{n}$, which can be expressed as powers of $2$. Then, the smallest possible value of $n+m$ is$44$16$42$14$
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 3
Q. 3)For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maximum possible value of $a b$ is15553325
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 4
Q. 4)For a real number $x$, if $\frac{1}{2}, \frac{\log _{3}\left(2^{x}-9\right)}{\log _{3} 4}$ ... $\log _{4}\left(\frac{7}{2}\right)$
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 6
Q. 6)The sum of the first two natural numbers, each having 15 factors (including 1 and the number itself), is
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 7
Q. 7)Let $n$ be any natural number such that $5^{n-1}
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 8
Q. 8)A boat takes 2 hours to travel downstream a river from port $A$ to port $B$, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from port $B$ ... 3(\sqrt{5}-1)$3(3+\sqrt{5})$3(3-\sqrt{5})$12(\sqrt{5}-2)$
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 9
Q. 9)Anil mixes cocoa with sugar in the ratio $3: 2$ to prepare mixture $A$, and coffee with sugar in the ratio $7: 3$ to prepare mixture $B$. ... amount of milk to make a drink, then the percentage of sugar in this drink will be16241721
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 10
Q. 10)Rahul, Rakshita and Gurmeet, working together, would have taken more than 7 days to finish a job. On the other hand, Rahul and Gurmeet, working ... then the number of days she would have taken to finish the job, cannot be16211720
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 11
Q. 11)The population of a town in 2020 was 100000 . The population decreased by $y \%$ from the year 2020 to 2021, and increased by $x \%$ ... and $y$ is 10 , then the lowest possible population of the town in 2021 was74000750007300072000
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 12
Q. 12)There are three persons $A, B$ and $C$ in a room. If a person $D$ ... $\mathrm{D}$, then the value of $x$ is1.50.512
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 13
Q. 13)A merchant purchases a cloth at a rate of Rs. 100 per meter and receives $5 \mathrm{~cm}$ length of cloth free for every $100 \mathrm{~cm}$ length of cloth purchased ... $16 \%$4.2 \%$15.5 \%$
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 14
Q. 14)Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only $60 \%$ ... Then, the number of days required by the faster worker to complete the job working alone is
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 15
Q. 15)The number of coins collected per week by two coin-collectors $A$ and $B$ are in the ratio $3: 4$. If the total number of coins collected by $A$ ... of 24 , then the minimum possible number of coins collected by $A$ in one week is
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CAT 2023 Set-3 | Quantitative Aptitude | Question: 16
Q. 16)A fruit seller has a stock of mangoes, bananas and apples with at least one fruit of each type. At the beginning of a day, the number of mangoes ... smallest possible total number of fruits in the stock at the beginning of the day is
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