# Recent questions and answers in Quantitative Aptitude

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The ratio between the speeds of two trains is $7:8$. If the second train runs $440$kms in $4$hours, then the speed of the first train is: $47.4$ km/hr $57.19$ km/hr $48.13$ km/hr $96.25$ km/hr
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A man walks at $5$ kmph for $6$ hr and at $4$ km/h for $12$ hr. His average speed is $4\frac{1}{3}$ km/h $9\frac{2}{3}$ km/h $9½$ km/h $8$ km/h
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Kamla got married $6$ years ago. Today her age is $1\dfrac{1}{4}$ times of her age at the time of marriage. Her son’s age is $\dfrac{1}{10}$ times of her age. Her son’s age is : $2$ years $3$ years $4$ years $5$ years
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If $34$ men completed $2/5$th of a work in $8$ days working $9$ hours a day. How many more man should be engaged to finish the rest of the work in $6$ days working $9$ hours a day? $189$ $198$ $102$ $142$
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Worker $A$ takes $8$ hours to do a job. Worker $B$ takes $10$ hours to do the same job. How long it take both $\text{A&B}$, working together but independently, to do the same job? $40/9$ days $40/7$ days $7.5$ days $8.5$ days
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If a train runs at $40$ kmph, it reaches its destination late by $11$ minutes but if it runs at $50$ kmph, it is late by $5$ minutes only. The correct time for the train to complete its journey is: $13$ min $15$ min $19$ min $21$ min
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If $(-4,0),(1,-1)$ are two vertices of a triangle whose area is $4$ Sq units then its third vertex lies on: $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
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If $A$ be the area of a right angled triangle and $b$ be one of the sides containing the right angle, then the length of altitude on the hypotenuse is : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$
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If $\ Sinx+Sin^{2} x=1$ then $\ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to : $0$ $-1$ $1$ $2$
1 vote
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In a class consisting of $100$ students, $20$ know English and $20$ do not know Hindi and $10$ know neither English nor Hindi. The number of students knowing both Hindi and English is: $5$ $10$ $15$ $20$
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If the ratio of the areas of two squares is $9:1$, the ratios of their perimeters is: $9:1$ $3:1$ $3:4$ $1:3$
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On dividing $50$ into two parts such that the sum of their reciprocals is $\dfrac{1}{12}$, we get the parts as: $20,30$ $24,26$ $28,22$ $36,14$
1 vote
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A general wishing to draw his $17429$ men in the form of a solid square found that he had $5$ men over. The number of men in the front row was: $174$ $424$ $132$ $742$
1 vote
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$\ Sin^{-1}\left [ \frac{3}{5} \right ] + \tan^{-1}\left [ \frac{1}{7} \right ]=$ $\frac{\pi }{4}$ $\frac{\pi }{2}$ $\ Cos^ {-1} \frac{4}{5}$ $\pi$
1 vote
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If $cosec\theta-\sin\theta=1$ and $\sec\theta-\cos\theta=m$, then $l^{2}m^{2}(l^{2}+m^{2}+3)$ equals to: $1$ $2$ $2 \sin\theta$ $\sin\theta \cos\theta$
1 vote
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If $\theta$ is an acute angle and $\tan\theta+\cot\theta =2$, Find the value of $\tan ^{7}\theta +\cot ^{7}\theta$. $-2$ $1$ $2$ $0$
1 vote
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Find the value of $x$ satisfying : $\log_{10} \left (2^{x}+x-41 \right)=x \left (1-\log_{10}5 \right)$ $40$ $41$ $-41$ $0$
1 vote
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If $x=\dfrac{\sqrt{10}+\sqrt{2}}{2}, \: \: y=\dfrac{\sqrt{10}-\sqrt{2}}{2}$ then the value of $\log _{2}(x^{2}+xy+y^{2})$ is: $0$ $1$ $2$ $3$
1 vote
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If $a^{x}=b, b^{y}=c$ and $c^{z}=a$, then $xyz$ equals: $abc$ $\dfrac{1}{abc}$ $1$ None
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The average of $8$ readings is $24.3$, out of which the average of first two is $18.5$ and that of next three is $21.2$. If the sixth reading is $3$ less than seventh and $8$ less than eighth, what is the sixth reading ? $24.8$ $26.5$ $27.6$ $29.4$
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Tarun bought a T.V with $20\%$ discount on the labelled price. If he had bought it with $25\%$ discount, he would have saved $₹500$. At what price did he buy the T.V.? $₹8,000$ $₹10,000$ $₹12,000$ $₹16,000$
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The banker's discount on a bill due $1$ year $8$ months hence is ₹ $50$ and the true discount on the same sum at the same percent is ₹ $45$. The rate percent is : $6\%$ $\frac{20}{3}\%$ $6\frac{1}{2}\%$ $\frac{516}{59}\%$
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By which one of the following should we multiply $152207$ so that the product is $11111111$? $53$ $63$ $73$ $83$
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₹ $49$ were divided among $150$ children. Each girl got $50$ paise and a boy $25$ paise. How many boys were there ? $100$ $102$ $104$ $105$
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$21$ mango trees, $42$ apple trees and $56$ orange trees have to be planted in rows such that each row contains the same number of trees of one variety only. Minimum number of rows in which the above trees may be planted is : $3$ $15$ $17$ $20$
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$\left (x^{n}+a^{n} \right)$ is divisible by $(x+a)$ : For all values of $n$ Only for even values of $n$ Only for odd values of $n$ Only for prime values of $n$
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Three different containers contain different qualities of mixtures of milk and water whose measurements are $403$ $kg$, $434$ $kg$ and $465$ $kg$. What biggest measure must be there to measure all different qualities an exact number of times ? $1$ $kg$ $7$ $kg$ $41$ $kg$ $31$ $kg$
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A school has $378$ girls and $675$ boys. All the students divided into strictly boys and strictly girls students sections. All the sections in the school has same number of students. What is the number of sections in the school? $27$ $36$ $39$ $23$
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If $5$ spiders can catch $5$ files in $5$ minutes. How many files can $100$ spiders catch in $100$ minutes : $100$ $1000$ $500$ $2000$
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A dog at point $A$ goes in pursuit of a fox $30$ $m$ away. The dog makes $2$ $m$ and the fox, $1$ m long leaps. If the dog makes two leaps to the fox’s three, at what distance from $A$ will the dog catch up with the fox ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
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A charitable trust donates $28$ different books of Maths, $16$ different books of science and $12$ different books of social science to poor students. Each student is given maximum number of books of only one subject of their interest and each student got equal number of books. Find the total number of students who got books. $14$ $10$ $12$ $15$
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$₹6500/-$ were divided among a certain number of persons. If there had been $15$ more persons, each would have got $₹30/-$ less. Find the original number of persons. $50$ $60$ $45$ $55$
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The factors of $(x^{2}+4y^{2}+4y-4xy-2x-8)$ are: $(x-2y-4)(x-2y+2)$ $(x-y+2)(x-4y-4)$ $(x+2y-4)(x+2y+2)$ None of these
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The value of $\large\frac{(0.96)^3-(0.1)^3}{(0.96)^2+0.096+(0.1)^2}$ is : $0.86$ $0.95$ $0.97$ $1.06$
1 vote
In a group of $7$ people, the average age is found to be $17$ years. Two more people joined with an average age $19$ years. One person left the group whose age was $25$ years. What is the new average age of the group? $17.5$ years $16.5$ years $18$ years $16$ years
Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$