# Recent questions tagged quantitative-aptitude

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A man rowed $3$ miles upstream in $90$ minutes. If the river flowed with a current of $2$ miles per hour, how long did the man’s return trip take? $20$ minutes $30$ minutes $45$ minutes $60$ minutes
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A circular garden twenty feet in diameter is surrounded by a path three feet wide. What is the area of the path? $51 \pi$ square feet $60 \pi$ square feet $69 \pi$ square feet $90 \pi$ square feet
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What is the area of a semicircle with a diameter of $16$ inches? $32 \pi$ square inches $64 \pi$ square inches $128 \pi$ square inches $256 \pi$ square inches
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Which of the following figures has the largest perimeter $(1 \text{ foot} = 12 \text{ inches})$ a square with a diagonal of $5$ feet a rectangle with sides of $3$ feet and $4$ feet an equilateral triangle with a side equal to $48$ inches a regular hexagon whose longest diagonal is $6$ feet
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Two bicyclists travel in opposite directions. One travels $5$ miles per hour faster than the other. In $2$ hours they are $50$ miles apart. What is the rate of the faster bicyclist? $11.25$ mph $15$ mph $20$ mph $22.5$ mph
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A man walks $10$ miles at an average rate of $2$ miles per hour and returns on a bicycle at an average rate of $10$ miles per hour. How long (to the nearest hour) does the entire trip take him? $4$ hours $5$ hours $6$ hours $7$ hours
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The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
1 vote
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Sonal has finished reading $30\%$ of a $340$-page novel. How many pages has she read? $102$ $103$ $105$ $113$
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Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$
1 vote
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A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$
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Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
Of $150$ people polled, $105$ said they rode the city bus at least $3$ times per week. How many people out of $100,000$ could be expected to ride the city bus at least $3$ times each week? $55,000$ $70,000$ $72,500$ $75,000$
The perimeter of a parallelogram is $50$ cm. The length of the parallelogram is $5$ cm more than the width. Find the length of the parallelogram. $15$ cm $11$ cm $5$ cm $10$ cm
If $P$\left (x, y \right)$is any point on the line joining the points$A$\left (a, 0 \right)$ and $B$\left(0, b \right)$then the value of$bx+ay-ab$is :$1-102$0 votes 0 answers 16 In a swimming-pool$90$m by$40$m,$150$men take a dip. If the average displacement of water by a man is$8$cubic metres, what will be rise in water level ?$30$cm$33.33$cm$20.33$cm$25$cm 0 votes 0 answers 17 A conical tent is to accommodate$10$persons. Each person must have$6m$^{2}$ space to sit and $30$ $m$^{2}$of air to breath. What will be height of cone ?$37.5m150m75m15m$0 votes 1 answer 18 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?$27363923$1 vote 0 answers 19 If$a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of$ab+bc+ca$?$0\frac{1}{2}\frac{-1}{4}-1$0 votes 0 answers 20 Find all the polynomials with real coefficients$P\left(x \right)$such that$P\left(x^{2}+x+1 \right)$divides$P\left(x^{3}-1 \right)$.$ax^{n}ax^{n+2}ax2ax$0 votes 0 answers 21 Find the mode of the following data :$\begin{array}{|cl|cI|}\hline &\text{Age} & \text{0-6} & \text{6-12} & \text{12-18} & \text{18-24} & \text{24-30} & \text{30-36} & \text{36-42} \\ \hline &\text{Frequency} & \text{6} & \text{11} & \text{25} & \text{35} & \text{18} & \text{12} & \text{6} \\ \hline \end{array}20.2219.4721.1220.14$1 vote 2 answers 22 How many pair of natural numbers are there, the differences of whose squares is$45$?$1234$0 votes 1 answer 23 If$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}}}$0 votes 0 answers 24 The roots of the equation$x^{2/3}+x^{1/3}-2=0$are :$1, -8-1, -2\frac{2}{3}, \frac{1}{3}-2, -7$0 votes 0 answers 25 In an acute angled triangle$ABC$, if$\tan \left(A+B-C \right)=1$and$\sec \left(B+C-A \right)=2$, Find angle$A$.$60^\circ45^\circ30^\circ90^\circ$0 votes 0 answers 26 Find the value of the expression$1-6+2-7+3-8+\dots\dots$to$100$terms.$-250-500-450-300$0 votes 0 answers 27 A bag contains$12$balls of the two different colours out of which$x$are white. One ball is drawn at random. If$6$more white balls are put in a bag, the probability of drawing a white ball now will be doubled to that of previous probability of drawing a white ball. The value of$x$is :$4563$0 votes 0 answers 28 What will be area of the rhombus with equations of sides$ax \pmby \pm c$=$1$?$\frac{3c^{2}}{ab}$sq. units$\frac{4c^{2}}{ab}$sq. units$\frac{2c^{2}}{ab}$sq. units$\frac{c^{2}}{ab}$sq. units 0 votes 0 answers 29 The value of the following expression :$\left [ \frac{1}{2^{2}-1} \right ]+\left [ \frac{1}{4^{2}-1} \right ]+\left [ \frac{1}{6^{2}-1} \right ]+\dots\dots+\left [ \frac{1}{20^{2}-1} \right ]$is :$\frac{10}{21}\frac{13}{27}\frac{15}{22}\frac{22}{15}$0 votes 0 answers 30 How many litres of a$3\%$hydrogen peroxide solution should be mixed with$6$liters of a$30\%$hydrogen peroxide solution so as to get a mixture of$12\%$solution ?$3$litres$6$liters$9$litres$12$litres 0 votes 0 answers 31 If$\left (-4, 0 \right), \left(1, -1 \right)$are two vertices of a triangle whose area is$4$Sq units then its third vertex lies on :$y=x5x+y+12=0x+5y-4=0x-5y+4=0$1 vote 1 answer 32 If$ x^{a}=y^{b}=z^{c} $and$ y^{2}=zx $then the value of$ \frac{1}{a} + \frac{1}{c}$is :$ \frac{b}{2} \frac{c}{2} \frac{2}{b} \frac{2}{a}$0 votes 1 answer 33 If$ \ Sinx+Sin^{2} x=1$then$ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$equals to :$0-112$0 votes 0 answers 34 If$x= \frac{\sqrt{p^{2}+q^{2}}+\sqrt{p^{2}-q^{2}}}{{\sqrt{p^{2}+q^{2}}-\sqrt{p^{2}-q^{2}}}}$then$q^{2}x^{2}-2p^{2}x+q^{2}$equals to :$3-1-20$0 votes 0 answers 35 The sum of first$n$terms of an$A.P$. whose first term is$\pi$is zero. The sum of next$m$terms is :$\frac{ \pi m \left(m+n \right)}{n-1}\frac{ \pi n \left(m+n \right)}{1-n}\frac{ \pi m \left(m+n \right)}{1-n}1$1 vote 1 answer 36$ \ 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$0 votes 0 answers 37 A train enters into a tunnel$AB$at$A$and exits at$B$. A jackal is sitting at$O$in another by passing tunnel$AOB$, which is connected to$AB$at$A$and$B$, where$OA$is perpendicular to$OB$. A cat is sitting at$P$inside the tunnel$AB$making the shortest possible distance ...$A$. The ratio of speeds of jackal and cat is :$\frac{2}{3}\frac{4}{3}\frac{5}{3}\frac{3}{2}$0 votes 0 answers 38 A train travelling from Delhi to Ambala meets with an accident after$1$hr. It is stopped for$\frac{1}{2}$hr, after which it proceeds at fourth-fifth of its usual rate, arriving at Ambala at$2$hr late. If the train has covered$80$km more before the accident, it would have been just$1$hr late. The usual speed of the train is :$20$km/hr$30$km/hr$40$km/hr$50$km/hr 0 votes 0 answers 39 In the following system of equations$2^{y-x} \left(x+y \right)=1$&$\left(x+y \right)^{x-y}=2$the value of$xy$is :$\frac{1}{2}\frac{3}{4}\frac{1}{4}1$0 votes 1 answer 40 A dog at point$A$goes in pursuit of a fox$30m$away. The dog makes$2m$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 ?$100m110m105m120m\$