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Recent questions tagged quantitative-aptitude

2 votes
1 answer
1
0 votes
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2
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 135 views
0 votes
1 answer
3
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 107 views
0 votes
0 answers
4
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 84 views
0 votes
0 answers
5
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 49 views
0 votes
1 answer
6
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 80 views
0 votes
0 answers
7
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 78 views
1 vote
1 answer
8
The sum of a number and its double is $69$. What is the number? $46.6$ $34.5$ $23$ $20$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 98 views
1 vote
1 answer
9
Sonal has finished reading $30\%$ of a $340$-page novel. How many pages has she read? $102$ $103$ $105$ $113$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 123 views
0 votes
1 answer
10
Rani will be twice Raja’s age in $3$ years when Raja will be $40$. How many years old is Rani now? $20$ $80$ $77$ $37$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 123 views
1 vote
1 answer
11
A certain number when added to $50\%$ of itself is $27$. What is the number? $7$ $9$ $11$ $18$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 101 views
0 votes
1 answer
12
Twelve less than $4$ times a number is $20$. What is the number? $2$ $4$ $6$ $8$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 112 views
0 votes
0 answers
13
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? $55,000$ $70,000$ $72,500$ $75,000$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 65 views
0 votes
1 answer
14
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 120 views
0 votes
0 answers
15
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 : $1$ $-1$ $0$ $2$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 72 views
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 76 views
0 votes
0 answers
17
A conical tent is to accommodate $10$ persons. Each person must have $6$ $m$^{2}$ space to sit and $30$ $m$^{2}$ of air to breath. What will be height of cone ? $37.5$ $m$ $150$ $m$ $75$ $m$ $15$ $m$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 63 views
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? $27$ $36$ $39$ $23$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 99 views
1 vote
1 answer
19
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 84 views
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 $P\left(x^{3}-1 \right)$. $ax^{n}$ $ax^{n+2}$ $ax$ $2ax$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 76 views
0 votes
1 answer
21
Find the mode of the following data : $\begin{array}{|cl|cI|}\hline &\text{Age} & \text{0-6} & \text{6-12} & \text{12-18} & \text{18-24} & \text{24-30} & \text{30-36} & \text{36-42} \\ \hline &\text{Frequency} & \text{6} & \text{11} & \text{25} & \text{35} & \text{18} & \text{12} & \text{6} \\ \hline \end{array}$ $20.22$ $19.47$ $21.12$ $20.14$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 105 views
1 vote
2 answers
22
How many pair of natural numbers are there, the differences of whose squares is $45$ ? $1$ $2$ $3$ $4$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 121 views
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 : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 79 views
0 votes
0 answers
24
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 72 views
1 vote
1 answer
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 $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 88 views
0 votes
1 answer
26
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 76 views
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 : $4$ $5$ $6$ $3$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 68 views
0 votes
0 answers
28
What will be area of the rhombus with equations of sides $ax \pm$ $by \pm c$ = $1$ ? $\frac{3c^{2}}{ab}$sq. units $\frac{4c^{2}}{ab}$sq. units $\frac{2c^{2}}{ab}$sq. units $\frac{c^{2}}{ab}$sq. units
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 137 views
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 : $\frac{10}{21}$ $\frac{13}{27}$ $\frac{15}{22}$ $\frac{22}{15}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 98 views
0 votes
1 answer
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 88 views
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 59 views
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}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 110 views
0 votes
1 answer
33
If $ \ Sinx+Sin^{2} x=1$ then $ \ Cos^{8}x+ 2 \ Cos^{6} x+ \ Cos^{4} x$ equals to : $0$ $-1$ $1$ $2$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 88 views
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 : $3$ $-1$ $-2$ $0$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 44 views
0 votes
1 answer
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 : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 69 views
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} $ $\pi$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 75 views
0 votes
1 answer
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 : $\frac{2}{3}$ $\frac{4}{3}$ $\frac{5}{3}$ $\frac{3}{2}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 73 views
0 votes
1 answer
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 96 views
1 vote
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 : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 55 views
0 votes
1 answer
40
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 ? $100$ $m$ $110$ $m$ $105$ $m$ $120$ $m$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.2k points 31 508 811 92 views
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