Questions without an upvoted answer in Quantitative Aptitude

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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$h=\sqrt{13}n$
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A container has 20 L of milk. 4 L of milk is replaced with an equal quantity of water. What was will be the final quantity of milk in the container if the process is repeated once ... = 32 - 2.2 L = 28.8 L > 28.8L ? It does not seem right.
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In a Nut - Bolt factory 180 workers are working 6 hours a day . Out of 180 workers there are some men, some women and rest are boys . All the workers can ... 6 hours a day , how many nuts they can produce with 52500 bolt in each day ?
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If $(3+2 \sqrt{2})$ is a root of the equation $a x^{2}+b x+c-0$, and $(4+2 \sqrt{3})$ is a root of the equation $a y^{2}+m y+n - 0$ ... $ is$0$3$4$1$
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Suppose the medians $\mathrm{BD}$ and $\mathrm{CE}$ of a triangle $\mathrm{ABC}$ intersect at a point $\mathrm{O}$. If area of triangle $\mathrm{ABC}$ is $108$ ... then, the area of the triangle $\mathrm{EOD}$, in $\mathrm{sq. cm}$., is
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Bob can finish a job in $40$ days, if he works alone. Alex is twice as fast as Bob and thrice as fast as Cole in the same job. Suppose Alex and Bob ... . Then, the total number of days Alex would have worked when the job gets finished, is
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A glass contains $500 \mathrm{cc}$ of milk and a cup contains $500 \mathrm{cc}$ of water. From the glass, $150 \mathrm{cc}$ of milk is transferred to the cup and mixed ... $10: 3$10: 13$3: 10$
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Consider six distinct natural numbers such that the average of the two smallest numbers is $14$, and the average of the two largest numbers is $28$. Then, the maximum possible value of the average of these six numbers is$22 .5$23$23 .5$24$
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Let $r$ be a real number and $f(x)=\left\{\begin{array}{cl}2 x-r & \text { if } x \geq r \\ r & \text { if } x<r\end{array}\right.$. Then, the equation $f(x)=f(f(x))$ holds for all real values of $x$ where$x \leq r$x>r$x \geq r$x \neq r$
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Two ships are approaching a port along straight routes at constant speeds. Initially, the two ships and the port formed an equilateral triangle with sides of length ... km}$, between the other ship and the port will be$4$6$12$8$
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Nitu has an initial capital of ₹ $20,000$. Out of this, she invests ₹$8,000$ at $5.5 \%$ in bank $\mathrm{A}$, ₹$5,000$ at $5.6 \%$ in ... $ alone, then her annual interest income, in rupees, would have been$900$800$1000$700$
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The minimum possible value of $\frac{x^{2}-6 x+10}{3-x}$, for $x<3$, is$-2$2$\frac{1}{2}$-\frac{1}{2}$
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In an examination, the average marks of students in sections $\mathrm{A}$ and $\mathrm{B}$ are $32$ and $60$, respectively. The number of students ... between the maximum and minimum possible number of students in section $\mathrm{A}$ is
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If $\left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401}$ and $\left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}$, for all non-zero real values of $a$ and $b$, then the value of $x+y$ is
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A group of $\mathrm{N}$ people worked on a project. They finished $35 \%$ of the project by working $7$ hours a day for $10$ days. Thereafter, $10$ people left the ... $ hours a day. Then the value of $\mathrm{N}$ is$150$36$140$23$
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Moody takes $30$ seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes $20$ seconds to finish ... the escalator, then the time, in seconds, needed to finish riding the escalator is
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In a triangle $\mathrm{A B C, A B=A C}=8 \mathrm{cm}$. A circle drawn with $\mathrm{BC}$ as diameter passes through $\mathrm{A}$. Another circle drawn with center ... $32 \pi$32(\pi-1)$16 \pi$
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Suppose $\mathrm{k}$ is any integer such that the equation $2 x^{2}+k x+5=0$ has no real roots and the equation $x^{2}+(k-5) x+1=0$ has two distinct real ... $. Then, the number of possible values of $\mathrm{k}$ is$7$9$8$13$
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The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in $1421$, including itself, is$2442$3333$2592$2222$
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The lengths of all four sides of a quadrilateral are integer valued. If three of its sides are of length $1 \mathrm{cm}, 2 \mathrm{cm}$ and $4 \mathrm{cm}$, then the total number of possible lengths of the fourth side is$5$4$3$6$
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Two cars travel from different locations at constant speeds. To meet each other after starting at the same time, they take $1.5$ hours if they travel towards ... $90$150$120$
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A school has less than $5000$ students and if the students are divided equally into teams of either $9$ or $10$ or $12$ or $25$ each, exactly $4$ are always ... of teams of $12$ each that can be formed out of the students in the school is
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The average of all $3$-digit terms in the arithmetic progression $38,55,72, \ldots$, is
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Working alone, the times taken by Anu, Tanu and Manu to complete any job are in the ratio $5: 8: 10$. They accept a job which they can finish in ... , the number of hours that Manu will take to complete the remaining job working alone is
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Mr. Pinto invests one-fifth of his capital at $6 \%$, one-third at $10 \%$ and the remaining at $1 \%$, each rate being simple interest ... for the cumulative interest income from these investments to equal or exceed his initial capital is
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Regular polygons $\mathrm{A}$ and $\mathrm{B}$ have number of sides in the ratio $1: 2$ and interior angles in the ratio $3: 4$. Then the number of sides of $\mathrm{B}$ equals
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The number of distinct integer values of $n$ satisfying $\frac{4-\log 2 n}{3-\log _{4} n}<0$, is
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The average of a non-decreasing sequence of $\mathrm{N}$ numbers $a_{1}, a_{2}, \ldots \ldots, a_{N}$ is $300$ . If $a_{1}$ is replaced by $6 a_{1}$, the new average becomes $400$ . Then, the number of possible values of $a_{1}$ is
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If $a$ and $b$ are non-negative real numbers such that $a+2 b=6$, then the average of the maximum and minimum possible values of $(a+b)$ is$3.5$4.5$3$4$
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The length of each side of an equilateral triangle $\mathrm{A B C}$ is $3 \mathrm{~cm}$. Let $\mathrm{D}$ be a point on $\mathrm{B C}$ ... D}$, in $\mathrm{cm}$, is$\sqrt{7}$\sqrt{6}$\sqrt{8}$\sqrt{5}$
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The number of integers greater than $2000$ that can be formed with the digits $0,1,2,3,4,5$, using each digit at most once, is$1480$1440$1200$1420$
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Let $f(x)$ be a quadratic polynomial in $x$ such that $f(x) \geq 0$ for all real numbers $x$. If $f(2)=0$ and $f(4)=6$, then $f(-2)$ is equal to$36$12$24$6$
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Manu earns ₹$4000$ per month and wants to save an average of ₹$550$ per month in a year. In the first nine months, his monthly expense was ₹$3500$, ... $4400$4300$4200$
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In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the ... $50240$40192$60288$
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On day one, there are $100$ particles in a laboratory experiment. On day $n$, where $n \geq 2$, one out of every $n$ particles produces another particle. If the total ... $ on day $\mathrm{m}$, then $\mathrm{m}$ equals$19$17$16$18$
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Five students, including Amit, appear for an examination in which possible marks are integers between $0$ and $50$ , both inclusive. The average marks for all ... $20$21$24$
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Two ships meet mid-ocean, and then, one ship goes south and the other ship goes west, both travelling at constant speeds. Two hours later, they are $60 \mathrm{~km}$ ... $18$20$12$
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For some natural number $n$, assume that $(15,000) !$ is divisible by $(n !) !$. The largest possible value of $n$ is$5$4$6$7$
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Suppose for all integers $x$, there are two functions $f$ and $g$ such that $f(x)+$ $f(x-1)-1=0$ and $g(x)=x^{2}$. If $f\left(x^{2}-x\right)=5$, then the value of the sum $f(g(5))+g(f(5))$ is
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