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Recent questions in Quantitative Aptitude

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3
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
asked May 4, 2020 in Quantitative Aptitude Madhav 3.1k points 2 9 66 426 views
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1 answer
4
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
asked Apr 5, 2020 in Quantitative Aptitude Pratyush Priyam Kuan 20 points 1 2 4 406 views
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1 answer
5
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 9.4k points 41 652 824 192 views
0 votes
1 answer
6
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 9.4k points 41 652 824 139 views
0 votes
1 answer
7
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 9.4k points 41 652 824 152 views
0 votes
1 answer
8
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 9.4k points 41 652 824 144 views
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1 answer
9
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 9.4k points 41 652 824 111 views
0 votes
1 answer
10
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 9.4k points 41 652 824 103 views
1 vote
1 answer
11
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 9.4k points 41 652 824 145 views
0 votes
1 answer
12
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 9.4k points 41 652 824 112 views
1 vote
1 answer
13
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 9.4k points 41 652 824 122 views
0 votes
1 answer
14
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 9.4k points 41 652 824 148 views
1 vote
1 answer
15
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 9.4k points 41 652 824 125 views
0 votes
1 answer
16
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 9.4k points 41 652 824 140 views
0 votes
1 answer
17
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 9.4k points 41 652 824 153 views
0 votes
3 answers
18
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 9.4k points 41 652 824 149 views
0 votes
1 answer
19
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 9.4k points 41 652 824 104 views
0 votes
1 answer
20
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 9.4k points 41 652 824 138 views
0 votes
2 answers
21
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 9.4k points 41 652 824 124 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 9.4k points 41 652 824 158 views
1 vote
1 answer
23
If $a^{2}+b^{2}+c^{2}=1$, then which of the following can't be the value of $ab+bc+ca$ ? $0$ $\frac{1}{2}$ $\frac{-1}{4}$ $-1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 134 views
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 $P\left(x^{3}-1 \right)$. $ax^{n}$ $ax^{n+2}$ $ax$ $2ax$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 110 views
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 : $\frac{2Ab}{\sqrt{4b^{4}+A^{2}}}$ $\frac{Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{2Ab}{\sqrt{b^{4}+4A^{2}}}$ $\frac{Ab}{\sqrt{4b^{4}+A^{2}}}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 107 views
0 votes
1 answer
26
Find the mode of the following data : $\begin{array}{|cl|cI|}\hline &\text{Age} & \text{0-6} & \text{6-12} & \text{12-18} & \text{18-24} & \text{24-30} & \text{30-36} & \text{36-42} \\ \hline &\text{Frequency} & \text{6} & \text{11} & \text{25} & \text{35} & \text{18} & \text{12} & \text{6} \\ \hline \end{array}$ $20.22$ $19.47$ $21.12$ $20.14$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 126 views
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 $A$. $60^\circ$ $45^\circ$ $30^\circ$ $90^\circ$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 118 views
0 votes
1 answer
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 9.4k points 41 652 824 188 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 9.4k points 41 652 824 147 views
0 votes
1 answer
30
Find the value of the expression $1-6+2-7+3-8+\dots\dots$ to $100$ terms. $-250$ $-500$ $-450$ $-300$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 105 views
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 : $4$ $5$ $6$ $3$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 129 views
0 votes
1 answer
32
The roots of the equation $x^{2/3}+x^{1/3}-2=0$ are : $1, -8$ $-1, -2$ $\frac{2}{3}, \frac{1}{3}$ $-2, -7$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 133 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 9.4k points 41 652 824 122 views
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
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 149 views
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 : $y=x$ $5x+y+12=0$ $x+5y-4=0$ $x-5y+4=0$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 114 views
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 : $3$ $-1$ $-2$ $0$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 122 views
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}$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 132 views
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 : $\frac{ \pi m \left(m+n \right)}{n-1}$ $\frac{ \pi n \left(m+n \right)}{1-n}$ $\frac{ \pi m \left(m+n \right)}{1-n}$ $1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 98 views
0 votes
1 answer
39
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 9.4k points 41 652 824 133 views
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 : $\frac{1}{2}$ $\frac{3}{4}$ $\frac{1}{4}$ $1$
asked Apr 3, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 85 views
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