# Recent questions tagged cat2023-set3

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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 the US] agreed to ret...

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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: What It Is, Why...

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The passage below is accompanied by four questions. Based on the passage, choose the best answer for each question.Understanding romantic aesthetics is not a simple under...

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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] thr...

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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 would best fit.Sentenc...

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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 would best fit.Sente...

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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 coherent paragraph. Identify th...

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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 the order of the...

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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 the order of th...

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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 expectations is h...

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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 is...

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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...

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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 $2$. Th...

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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...

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Q. 4)For a real number $x$, if $\frac{1}{2}, \frac{\log _{3}\left(2^{x}-9\right)}{\log _{3} 4}$, and $\frac{\log _{5}\left(2^{x}+\frac{17}{2}\right)}{\log _{5} 4}$ are in...

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Q. 5)A quadratic equation $x^{2}+b x+c=0$ has two real roots. If the difference between the reciprocals of the roots is $\frac{1}{3}$, and the sum of the reciprocals of t...

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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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Q. 7)Let $n$ be any natural number such that $5^{n-1}

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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 po...

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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 $B$. He combines mixtures $A$ an...

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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 together would have ...

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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 $x \%$ from the year 2021 to 2022, whe...

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Q. 12)There are three persons $A, B$ and $C$ in a room. If a person $D$ joins the room, the average weight of the persons in the room reduces by $x \mathrm{~kg}$. Instead...

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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 purchase...

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Q. 14)Gautam and Suhani, working together, can finish a job in 20 days. If Gautam does only $60 \%$ of his usual work on a day, Suhani must do $150 \%$ of her usual work ...

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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 $A$ in 5 weeks is a mul...

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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 make up $40 \%$ of ...