# Recent questions in Quantitative Aptitude

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One year ago the ratio between A’s and B's salary was 3:4. The ratio's of their individual salaries between previous year's and present year's salaries are 4:5 and 2:3 respectively. At present the total of their salary is Rs.8580. The salary of A now is : a) Rs.3800 b) Rs.3300 c) Rs.3900 d) Rs.3120
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Sourabh borrows rs 25,00,000 at 12% compound interest from a bank and invests in shares. The investment gives him a return of 20% per annum and he repays rs 5,00,000 at the end of first year. How much does he make for himself after paying all the outstanding amount at the end of the second year? a 424000 b 356241.50 c 525000 d 484241.80
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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 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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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
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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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? $55,000$ $70,000$ $72,500$ $75,000$
1 vote
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The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
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Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
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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Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$
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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
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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
A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$^{2}$space to sit and$30m$^{2}$ of air to breath. What will be height of cone ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$
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? $27$ $36$ $39$ $23$
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$1 vote 2 answers 22 How many pair of natural numbers are there, the differences of whose squares is$45$?$1234$1 vote 1 answer 23 If$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$0 votes 1 answer 24 Find all the polynomials with real coefficients$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$0 votes 1 answer 25 If$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}}}$0 votes 1 answer 26 Find the mode of the following data :$\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$2 votes 1 answer 27 In an acute angled triangle$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$0 votes 1 answer 28 What will be area of the rhombus with equations of sides$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 1 answer 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 1 answer 30 Find the value of the expression$1-6+2-7+3-8+\dots\dots$to$100$terms.$-250-500-450-300$0 votes 1 answer 31 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$0 votes 1 answer 32 The roots of the equation$x^{2/3}+x^{1/3}-2=0$are :$1, -8-1, -2\frac{2}{3}, \frac{1}{3}-2, -7$0 votes 1 answer 33 If$ \ Sinx+Sin^{2} x=1$then$ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$equals to :$0-112$0 votes 1 answer 34 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 1 answer 35 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$1 vote 1 answer 36 If$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$1 vote 1 answer 37 If$ 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}$0 votes 1 answer 38 The sum of first$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$0 votes 1 answer 39 A dog at point$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$1 vote 0 answers 40 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\$