# Recent questions and answers in Others

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Q. 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 . ...
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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. 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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Section: Quantitative AptitudeQ. 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)^{... 0 answers 5 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... 0 answers 6 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... 0 answers 7 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... 0 answers 8 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... 0 answers 9 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... 0 answers 10 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... 0 answers 11 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... 0 answers 12 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... 0 answers 13 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... 0 answers 14 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... 0 answers 15 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... 0 answers 16 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... 0 answers 17 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... 0 answers 18 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... 0 answers 19 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... 0 answers 20 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... 0 answers 21 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... 0 answers 22 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... 0 answers 23 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... 0 answers 24 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... 0 answers 25 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... 0 answers 26 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... 0 answers 27 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... 0 answers 28 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... 0 answers 29 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...
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...
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...
Q. 7)Let $n$ be any natural number such that $5^{n-1} 0 answers 35 Q. 8)A boat takes 2 hours to travel downstream a river from port$A$to port$B$, and 3 hours to return to port A. Another boat takes a total of 6 hours to travel from po... 0 answers 36 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... 0 answers 37 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 ... 0 answers 38 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... 0 answers 39 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... 0 answers 40 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...