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Recent questions tagged quantitative-aptitude

2 votes
1 answer
121
$\text{A}$ and $\text{B}$ are two points on a straight line. Ram runs from $\text{A}$ to $\text{B}$ while Rahim runs from $\text{B}$ to $\text{A}.$ After crossing each other, Ram and Rahim reach their destinations in one minute and four minutes, respectively. If they start at the same time, then the ratio of Ram’s speed to Rahim’s speed is $2$ $\sqrt{2}$ $2\sqrt{2}$ $\frac{1}{2}$
asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 261 views
1 vote
1 answer
122
For the same principal amount, the compound interest for two years at $5\%$ per annum exceeds the simple interest for three years at $3\%$ per annum by $\text{Rs } 1125.$ Then the principal amount in rupees is
asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 128 views
2 votes
1 answer
123
In a group of $10$ students, the mean of the lowest $9$ scores is $42$ while the mean of the highest $9$ scores is $47.$ For the entire group of $10$ students, the maximum possible mean exceeds the minimum possible mean by $4$ $3$ $5$ $6$
asked Sep 17, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 116 views
1 vote
1 answer
124
How many $3-$digit numbers are there, for which the product of their digits is more than $2$ but less than $7$?
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 127 views
1 vote
1 answer
125
Veeru invested Rs $10000$ at $5\%$ simple annual interest, and exactly after two years, Joy invested Rs $8000$ at $10\%$ simple annual interest. How many years after Veeru’s investment, will their balances, i.e., principal plus accumulated interest, be equal?
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 143 views
1 vote
1 answer
126
An alloy is prepared by mixing three metals $\text{A, B}$ and $\text{C}$ in the proportion $3:4:7$ by volume. Weights of the same volume of the metals $\text{A, B}$ and $\text{C}$ are in the ratio $5:2:6$. In $130$ kg of the alloy, the weight, in kg, of the metal $\text{C}$ is $70$ $96$ $48$ $84$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 157 views
1 vote
1 answer
127
On a rectangular metal sheet of area $135$ sq in, a circle is painted such that the circle touches two opposite sides. If the area of the sheet left unpainted is two$-$thirds of the painted area then the perimeter of the rectangle in inches is $5\sqrt{\pi }\left ( 3+\frac{9}{\pi} \right )$ ... $3\sqrt{\pi }\left ( 5+\frac{12}{\pi} \right )$ $4\sqrt{\pi }\left ( 3+\frac{9}{\pi} \right )$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 192 views
2 votes
1 answer
128
If $\log_4 5=\left ( \log _{4}y \right )\left ( \log _{6}\sqrt{5} \right )$, then $y$ equals
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 95 views
1 vote
1 answer
129
Two persons are walking beside a railway track at respective speeds of $2$ and $4$ km per hour in the same direction. A train came from behind them and crossed them in $90$ and $100$ seconds, respectively. The time, in seconds, taken by the train to cross an electric post is nearest to $87$ $82$ $75$ $78$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 114 views
1 vote
1 answer
130
The number of real$-$valued of the equation $2^{x}+2^{-x}=2-(x-2)^{2}$ is infinite $1$ $0$ $2$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 133 views
1 vote
1 answer
131
If $y$ is a negative number such that $2^{y^{2}\log _{2}3}=5^{\log_{2}3}$, then $y$ equals $\log _{2}\left ( \frac{1}{3} \right )$ $-\log _{2}\left ( \frac{1}{3} \right )$ $\log _{2}\left ( \frac{1}{5} \right )$ $-\log _{2}\left ( \frac{1}{5} \right )$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 109 views
1 vote
1 answer
132
How many distinct positive integer-valued solutions exist to the equation $\left ( x^{2}-7x+11 \right )^{(x^{2}-13x+42)} =1$? $6$ $8$ $2$ $4$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 109 views
1 vote
1 answer
133
A person spent Rs $50000$ to produce a desktop computer and a laptop computer. He sold the desktop at $20\%$ profit and the laptop at $10\%$ loss. If overall he made a $2\%$ profit then the purchase price, in rupees, of the desktop is
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 109 views
1 vote
1 answer
134
The area of the region satisfying the inequilities $\left | x \right |-y\leq 1,y\geq 0$ and $y\leq 1$ is
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 139 views
1 vote
1 answer
135
A straight road connects points $\text{A}$ and $\text{B}$. Car $1$ travels from $\text{A}$ to $\text{B}$ and Car $2$ travels from $\text{B}$ to $\text{A}$, both leaving at the same time. After meeting each other, they take $45$ minutes and $20$ minutes, respectively, to complete their ... . If Car $1$ travels at the speed of $60$ km/hr, then the speed of Car $2$, in km/hr, is $90$ $100$ $80$ $70$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 117 views
1 vote
1 answer
136
Among $100$ students, $x_{1}$ have birthdays in January, $x_{2}$ have birthdays in February, and so on. If $x_{0}= \text{max}\left ( x_{1},x_{2},\dots,x_{12} \right ),$ then the smallest possible value of $x_{0}$ is $9$ $10$ $8$ $12$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 105 views
1 vote
1 answer
137
The mean of all $4-$digit even natural numbers of the form $`aabb\text{’},$ where $a>0,$ is $5050$ $4466$ $5544$ $4864$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 89 views
1 vote
1 answer
138
Leaving home at the same time, Amal reaches office at $10:15$ am if he travels at $8$ km/hr, and at $9:40$ am if he travels at $15$ km/hr. Leaving home at $9:10$ am, at what speed, in km/hr, must he travel so as to reach office exactly at $10$ am? $13$ $14$ $12$ $11$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 107 views
1 vote
1 answer
139
A train travelled at one$-$thirds of its usual speed, and hence reached the destination $30$ minutes after the scheduled time. On its return journey, the train initially travelled at its usual speed for $5$ minutes but then stopped for $4$ minutes for an emergency. The ... now increase its usual speed so as to reach the destination at the scheduled time, is nearest to $58$ $67$ $61$ $50$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 101 views
2 votes
1 answer
140
If $x=\left ( 4096 \right )^{7+4\sqrt{3}}$, then which of the following equals $64$? $\frac{x^{7}}{x^{2\sqrt{3}}}$ $\frac{x^{7}}{x^{4\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x\frac{4}{\sqrt{3}}}$ $\frac{x\frac{7}{2}}{x^{2\sqrt{3}}}$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 86 views
1 vote
1 answer
141
If $f\left ( 5+x \right )= f\left ( 5-x \right )$ for every real $x,$ and $f\left ( x \right )=0$ has four distinct real roots, then the sum of these roots is $0$ $40$ $10$ $20$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 110 views
1 vote
1 answer
142
If $a, b$ and $c$ are positive integers such that $ab=432, bc=96$ and $c<9,$ then the smallest possible value of $a+b+c$ is $56$ $59$ $49$ $46$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 108 views
1 vote
1 answer
143
In a group of people, $28\%$ of the members are young while the rest are old. If $65\%$ of the members are literates, and $25\%$ of the literates are young, then the percentage of old people among the illiterates is nearest to $62$ $55$ $66$ $59$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 89 views
1 vote
1 answer
144
A circle is inscribed in a thombus with diagonals $12$ cm and $16$ cm. The ratio of the area of circle to the area of rhombus is $\frac{5\pi }{18}$ $\frac{6\pi }{25}$ $\frac{3\pi }{25}$ $\frac{2\pi }{15}$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 70 views
1 vote
1 answer
145
A gentleman decided to treat a few children in the following manner. He gives half of his total stock of toffees and one extra to the first child, and then the half of the remaining stock along with one extra to the second and continues giving away in this fashion. His total stock exhausts after he takes care of $5$ children. How many toffees were there in his stock initially?
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 113 views
3 votes
1 answer
146
Let $\text{A, B}$ and $\text{C}$ be three positive integers such that the sum of $\text{A}$ and the mean of $\text{B}$ and $\text{C}$ is $5$. In addition, the sum of $\text{B}$ and the mean of $\text{A}$ and $\text{C}$ is $7$. Then the sum of $\text{A}$ and $\text{B}$ is $6$ $5$ $7$ $4$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 103 views
1 vote
1 answer
147
A solution, of volume $40$ litres, has dye and water in the proportion $2:3.$ Water is added to the solution to change this proportion to $2:5.$ If one$-$ fourths of this diluted solution is taken out, how many litres of dye must be added to the remaining solution to bring the proportion back to $2:3$?
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 121 views
1 vote
1 answer
148
The number of distinct real roots of the equation $\left ( x+\frac{1}{x}\right )^{2}-3\left ( x+\frac{1}{x} \right )+2= 0$ equals
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 102 views
1 vote
1 answer
149
A solid right circular cone of height $27$ cm is cut into two pieces along a plane parallel to its base at a height of $18$ cm from the base. If the difference in volume of the two pieces is $225$ cc, the volume, in cc, of the original cone is $232$ $256$ $264$ $243$
asked Sep 16, 2021 in Quantitative Aptitude soujanyareddy13 2.7k points 5 79 342 110 views
2 votes
1 answer
150
0 votes
1 answer
151
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 10.7k points 118 744 834 318 views
0 votes
1 answer
152
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 10.7k points 118 744 834 262 views
0 votes
1 answer
153
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 10.7k points 118 744 834 247 views
0 votes
1 answer
154
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 10.7k points 118 744 834 299 views
0 votes
1 answer
155
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 10.7k points 118 744 834 235 views
0 votes
1 answer
156
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 10.7k points 118 744 834 198 views
0 votes
1 answer
157
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 10.7k points 118 744 834 292 views
1 vote
1 answer
158
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 10.7k points 118 744 834 198 views
0 votes
1 answer
159
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 10.7k points 118 744 834 265 views
1 vote
1 answer
160
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 10.7k points 118 744 834 207 views
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