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Recent questions tagged quantitative-aptitude

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81
A $300$ metre long metro train crosses a platform in a metro station in $39$ seconds while it crosses a lamp post in $18$ seconds. What is the length of the platform? $250$ metre $350$ metre $520$ metre $300$ metre
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 190 views
1 vote
2 answers
82
In a group of $7$ people, the average age is found to be $17$ years. Two more people joined with an average age $19$ years. One person left the group whose age was $25$ years. What is the new average age of the group? $17.5$ years $16.5$ years $18$ years $16$ years
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 190 views
0 votes
1 answer
83
Irvin sold a book at a profit of $12\%.$ If Irvin had sold it for Rs. $18$ more, then $18\%$ would have been gained. Find the cost price. Rs. $600$ Rs. $300$ Rs. $400$ Rs. $200$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 173 views
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0 answers
84
A car travels at an average of $50$ miles per hour for $2.5$ hours and then travels at a speed of $70$ miles per hour for $1.5$ hours. How far did the car travel in the entire $4$ hours? $210$ miles $230$ miles $250$ miles $260$ miles
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 90 views
0 votes
1 answer
85
Shirin went to a bakery and bought items worth Rs. $25,$ out of which $30$ paise went on sales tax on taxable purchases. If the tax rate was $6\%,$ then what was the cost of the tax free items? Rs. $12$ Rs. $19.70$ Rs. $19.10$ Rs. $18.80$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 226 views
0 votes
1 answer
86
Adrian starts a start-up with a capital of Rs. $85,000.$ Brian joins in the start-up with Rs. $42,500$ after sometime. For how much period does Brian join, if the profits at the end of the year are divided in the ratio of $3:1?$ $5$ months $6$ months $7$ months $8$ months
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 135 views
1 vote
1 answer
87
The rate of simple interest on a sum of money is $6$ per cent per annum for the first $3$ years, $8$ per cent per annum for the next $5$ years and $10$ per cent per annum for the period beyond $8$ years. If the simple interest accrued by the sum for a total period of $10$ years is Rs. $1,560,$ what is the sum? Rs. $1,500$ Rs. $3,000$ Rs. $2,000$ Data Inadequate
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 183 views
0 votes
1 answer
88
By selling $45$ limes for Rs. $40,$ a woman loses $20\%.$ How many should she sell for Rs. $24$ to gain $20\%$ in the transaction? $16$ $18$ $20$ $22$
asked Apr 1, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 153 views
1 vote
1 answer
89
Find the missing number in the following question. $32$ $42$ $62$ $82$
asked Mar 31, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 265 views
0 votes
1 answer
90
If $\div$ means $+$, $–$ means $\div$ , $\times$ means $–$ and $+$ means $\times$, then $\dfrac{\left ( 3\times 4 \right )-8\times 4}{4+8\times 2 +16 \div 1}=?$ $1$ $-1$ $2$ $0$
asked Mar 31, 2020 in Quantitative Aptitude Lakshman Patel RJIT 9.4k points 41 652 824 151 views
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0 answers
91
Some part of a sugar solution which contains 40% sugar is replaced with another sugar solution which contains 19% sugar. Part of sugar in the new mixture became 26% what fraction of the original sugar solution was replaced with another sugar solution?
asked Mar 26, 2020 in Quantitative Aptitude Abhipsa 14 points 1 2 3 289 views
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1 answer
92
The salaries of Ramesh, Ganesh and Rajesh were in the ratio $6:5:7$ in $2010$, and in the ratio $3:4:3$ in $2015$. If Ramesh’s salary increased by $25$% during $2010-2015$, then the percentage increase in Rajesh’s salary during this period is closest to $8$ $7$ $9$ $10$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 196 views
0 votes
1 answer
93
If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if $1\leq x\leq 2$ $-3\leq x\leq 3$ $1\leq x\leq 3$ $-1\leq x\leq 3$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 107 views
0 votes
1 answer
94
In an examination, Rama's score was one-twelfth of the sum of the scores of Mohan and Anjali. After a review, the score of each of them increased by $6$. The revised scores of Anjali, Mohan, and Rama were in the ratio $11:10:3$. Then Anjali's score exceeded Rama's score by $24$ $26$ $32$ $35$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 254 views
0 votes
0 answers
95
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$?____
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 85 views
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1 answer
96
Anil alone can do a job in $20$ days while Sunil alone can do it in $40$ days. Anil starts the job, and after $3$ days, Sunil joins him. Again, after a few more days, Bimal joins them and they together finish the job. If Bimal has done $10$% of the job, then in how many days was the job done? $14$ $13$ $15$ $12$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 249 views
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97
Two circles, each of radius $4$ cm, touch externally. Each of these two circles is touched externally by a third circle. If these three circles have a common tangent, then the radius of the third circle, in cm, is $\sqrt{2}$ $\frac{\pi }{3}$ $\frac{1}{\sqrt{2}}$ $1$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 83 views
1 vote
1 answer
98
In an examination, the score of $A$ was $10$% less than that of $B$, the score of $B$ was $25$% more than that of $C$, and the score of $C$ was $20$% less than that of $D$. If $A$ scored $72$, then the score of $D$ was_____
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 167 views
0 votes
1 answer
99
A cyclist leaves $A$ at $10$ am and reaches $B$ at $11$ am. Starting from $10:01$ am, every minute a motor cycle leaves $A$ and moves towards $B$. Forty-five such motor cycles reach $B$ by $11$ am. All motor cycles have the same speed. If the cyclist had doubled his speed, how many motor cycles would have reached $B$ by the time the cyclist reached $B$? $23$ $20$ $15$ $22$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 137 views
1 vote
1 answer
100
The average of $30$ integers is $5$. Among these $30$ integers, there are exactly $20$ which do not exceed $5$. What is the highest possible value of the average of these $20$ integers? $4$ $3.5$ $4.5$ $5$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 145 views
0 votes
1 answer
101
John jogs on track A at $6$ kmph and Mary jogs on track $B$ at $7.5$ kmph. The total length of tracks $A$ and $B$ is $325$ metres. While John makes $9$ rounds of track $A$, Mary makes $5$ rounds of track $B$. In how many seconds will Mary make one round of track $A$?______
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 170 views
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102
In a six-digit number, the sixth, that is, the rightmost, digit is the sum of the first three digits, the fifth digit is the sum of first two digits, the third digit is equal to the first digit, the second digit is twice the first digit and the fourth digit is the sum of fifth and sixth digits. Then, the largest possible value of the fourth digit is _____
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 99 views
0 votes
1 answer
103
The quadratic equation $x^{2}+bx+c=0$ has two roots $4a$ and $3a$, where a is an integer. Which of the following is a possible value of $b^{2}+c$? $3721$ $549$ $427$ $361$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 136 views
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104
The real root of the equation $2^{6x}+2^{3x+2}-21=0$ is $\frac{\log_{2}7}{3}$ $log_{2}9$ $\frac{\log_{2}3}{3}$ $log_{2}27$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 88 views
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105
Let $a_{1},a_{2}\dots$ be integers such that $a_{1}-a_{2}+a_{3}-a_{4}+\dots+(-1)^{n-1}a_{n}=n$, for all $n\geq 1$ Then $a_{51}+a_{52}+\dots+a_{1023}$ equals $-1$ $10$ $0$ $1$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 64 views
0 votes
1 answer
106
Two ants $A$ and $B$ start from a point $P$ on a circle at the same time, with $A$ moving clock-wise and $B$ moving anti-clockwise. They meet for the first time at $10:00$ am when $A$ has covered $60$% of the track. If $A$ returns to $P$ at $10:12$ am, then $B$ returns to $P$ at $10:25$am $10:18$am $10:27$am $10:45$am
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 131 views
0 votes
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107
In a triangle $ABC$, medians $AD$ and $BE$ are perpendicular to each other, and have lengths $12$ cm and $9$ cm, respectively. Then, the area of triangle $ABC$, in sq cm. is $68$ $72$ $78$ $80$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 86 views
1 vote
1 answer
108
In $2010$, a library contained a total of $11500$ books in two categories -fiction and nonfiction. In $2015$, the library contained a total of $12760$ books in these two categories. During this period, there was $10$% increase in the fiction category while there was $12$% increase in the non-fiction category. How many fiction books were in the library in $2015$? $6000$ $6160$ $5500$ $6600$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 148 views
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109
The strength of a salt solution is $p$% if $100$ ml of the solution contains $p$ grams of salt. Each of three vessels $A, B, C$ contains $500$ ml of salt solution of strengths $10$%, $22$%, and $32$%, respectively. Now, $100$ ml of the solution in vessel $A$ ... in vessel $C$ is transferred to vessel $A$. The strength, in percentage, of the resulting solution in vessel $A$ is $12$ $14$ $13$ $15$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 98 views
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110
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$?_____
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 93 views
0 votes
1 answer
111
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 172 views
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112
Let $a,b,x,y$ be real numbers such that $a^{2}+b^{2}=25,x^{2}+y^{2}=169$, and $ax+by=65$. If $k=ay-bx$, then $k=0$ $0< k\leq \frac{5}{13}$ $k=\frac{5}{13}$ $k> \frac{5}{13}$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 114 views
0 votes
1 answer
113
Let $A$ be a real number. Then the roots of the equation $x^{2}-4x-\log _{2}A=0$ are real and distinct if and only if $A> \frac{1}{16}$ $A> \frac{1}{8}$ $A< \frac{1}{16}$ $A< \frac{1}{8}$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 98 views
1 vote
1 answer
114
A shopkeeper sells two tables, each procured at cost price p, to Amal and Asim at a profit of $20$% and at a loss of $20$%, respectively. Amal sells his table to Bimal at a profit of $30$%, while Asim sells his table to Barun at a loss of $30$%. If the amounts paid by Bimal and Barun are $x$ and $y$, respectively, then $(x −y) / p$ equals $0.7$ $1$ $1.2$ $0.50$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 100 views
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115
Mukesh purchased $10$ bicycles in $2017$, all at the same price. He sold six of these at a profit of $25$% and the remaining four at a loss of $25$%. If he made a total profit of Rs.$2000$, then his purchase price of a bicycle, in Rupees, was______ $8000$ $6000$ $4000$ $2000$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 150 views
1 vote
1 answer
116
John gets Rs $57$ per hour of regular work and Rs $114$ per hour of overtime work. He works altogether $172$ hours and his income from overtime hours is $15$%of his income from regular hours. Then, for how many hours did he work overtime?_______
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 202 views
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117
A man makes complete use of $405$ cc of iron, $783$ cc of aluminium, and $351$ cc of copper to make a number of solid right circular cylinders of each type of metal. These cylinders have the same volume and each of these has radius $3$ cm. If the total number of cylinders is to be ... , then the total surface area of all these cylinders, in sq cm, is $8464\pi$ $928\pi$ $1044(4+\pi)$ $1026(1+\pi)$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 108 views
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118
Let $ABC$ be a right-angled triangle with hypotenuse $BC$ of length $20$ cm. If $AP$ is perpendicular on $BC$, then the maximum possible length of $AP$, in cm, is $10$ $6\sqrt{2}$ $8\sqrt{2}$ $5$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 58 views
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0 answers
119
The base of a regular pyramid is a square and each of the other four sides is an equilateral triangle, length of each side being $20$ cm. The vertical height of the pyramid, in cm, is $8\sqrt{3}$ $12$ $5\sqrt{5}$ $10\sqrt{2}$
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 70 views
0 votes
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120
Let $f$ be a function such that $f (mn) = f (m) f (n)$ for every positive integers $m$ and $n$. If $f (1), f (2)$ and $f (3)$ are positive integers, $f (1) < f (2),$ and $f (24) = 54$, then $f (18)$ equals_______
asked Mar 20, 2020 in Quantitative Aptitude jothee 11.6k points 231 1639 2373 73 views
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