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# Recent questions in Quantitative Aptitude

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A train is 250 m long and it runs at a speed of 50km/hr . Then in how much time the train will pass the Power/Electic Pole .
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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 repe...
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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 produce either n...
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A donation box can receive only cheques of ₹$100$, ₹$250$, and ₹$500$. On one good day, the donation box was found to contain exactly $100$ cheques amounting to a t...
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If $c=\dfrac{16 x}{y}+\dfrac{49 y}{x}$ for some non-zero real numbers $x$ and $y,$ then $c$ cannot take the value$-60$ $-50$ $60$ $-70$
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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 $a y^{2}+m y+n – 0$, where $a, b, c, m$ and $n$ are inte...
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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 $108$ $\mathrm{s... 0 answers 9 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 work together on the f... 0 answers 10 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 th... 1 answer 11 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 pos... 1 answer 12 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$f(x)=f(f(x))$hol... 0 answers 13 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$24 \...
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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 bank $\mathrm{B}$ and the rem...
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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}$$-\frac{1}{2} 0 answers 16 In an examination, the average marks of students in sections \mathrm{A} and \mathrm{B} are 32 and 60, respectively. The number of students in section \mathrm{A}... 1 answer 17 If \left(\sqrt{\frac{7}{3}}\right)^{2 x-y}=\frac{875}{2401} and \left(\frac{4 a}{b}\right)^{4 x-y}=\left(\frac{2 a}{b}\right)^{y-6 x}, for all non-zero real values of... 1 answer 18 A group of \mathrm{N} people worked on a project. They finished 35 \% of the project by working 7 hours a day for 10 days. Thereafter, 10 people left the group ... 0 answers 19 Moody takes 30 seconds to finish riding an escalator if he walks on it at his normal speed in the same direction. He takes 20 seconds to finish riding the escalator i... 0 answers 20 In a triangle \mathrm{A B C, A B=A C}=8 \mathrm{cm}. A circle drawn with \mathrm{BC} as diameter passes through \mathrm{A}. Another circle drawn with center at \ma... 0 answers 21 Suppose \mathrm{k} is any integer such that the equation 2 x^{2}+k x+5=0 has no real roots and the equation x^{2}+(k-5) x+1=0 has two distinct real roots for \math... 0 answers 22 The arithmetic mean of all the distinct numbers that can be obtained by rearranging the digits in 1421, including itself, is2442$$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 tota...
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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 each other, ...
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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 left out. How...
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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 $4$ days if they all work...
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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 per annum. Then, the minimum numbe...
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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 $\mathrm{B}$ ...
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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 beco...
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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$$4 0 answers 33 The length of each side of an equilateral triangle \mathrm{A B C} is 3 \mathrm{~cm}. Let \mathrm{D} be a point on \mathrm{B C} such that the area of triangle \ma... 0 answers 34 The number of integers greater than 2000 that can be formed with the digits 0,1,2,3,4,5, using each digit at most once, is1480$$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 ₹$3500$, and he foresees ...
In an election, there were four candidates and $80 \%$ of the registered voters casted their votes. One of the candidates received $30 \%$ of the casted votes while the o...
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 num...
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 the student...