# Recent questions tagged quantitative-aptitude

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
1 vote
82
Assume that a sum of money is divided equally among $n$ girls. Each girl will receive $\$60.$If another girl is added to the group and the sum is divided equally among all the girls, each child girl gets a$\$50$ share. What is the sum of money? $\$3000\$300$ $\$110\$10$
83
A tank can be filled by one tap in $10$ minutes and by another in $30$ minutes. Both the taps are kept open for $5$ minutes and then the first one is shut off. In how many minutes more is the tank completely filled? $5$ $7.5$ $10$ $12$
1 vote
84
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
85
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
86
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. $18.80$
87
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
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? $16$ $18$ $20$ $22$
1 vote
89
Find the missing number in the following question. $32$ $42$ $62$ $82$
90
If $\div$ means $+$, $–$ means $\div$ , $\times$ means $–$ and $+$ means $\times$, then $\dfrac{\left ( 3\times 4 \right )-8\times 4}{4+8\times 2 +16 \div 1}=?$ $1$ $-1$ $2$ $0$
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?
92
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$?____
93
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 $24$ $26$ $32$ $35$
94
If x is a real number, then $\sqrt{\log _{e}\frac{4x-x^{2}}{3}}$ is a real number if and only if $1\leq x\leq 2$ $-3\leq x\leq 3$ $1\leq x\leq 3$ $-1\leq x\leq 3$
95
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 $8$ $7$ $9$ $10$
96
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 $A$?______
97
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? $4$ $3.5$ $4.5$ $5$
98
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 $B$? $23$ $20$ $15$ $22$
99
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_____
100
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 $\sqrt{2}$ $\frac{\pi }{3}$ $\frac{1}{\sqrt{2}}$ $1$
101
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? $14$ $13$ $15$ $12$
102
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 $68$ $72$ $78$ $80$
103
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
104
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 $-1$ $10$ $0$ $1$
105
The real root of the equation $2^{6x}+2^{3x+2}-21=0$ is $\frac{\log_{2}7}{3}$ $log_{2}9$ $\frac{\log_{2}3}{3}$ $log_{2}27$
106
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 $b^{2}+c$? $3721$ $549$ $427$ $361$
107
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 _____
108
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 $k=0$ $0< k\leq \frac{5}{13}$ $k=\frac{5}{13}$ $k> \frac{5}{13}$
109
What is the largest positive integer $n$ such that $\frac{n^{2}+7n+12}{n^{2}-n-12}$ is also a positive integer? $8$ $12$ $16$ $6$
110
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$?_____
111
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 $12$ $14$ $13$ $15$
112
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 $2015$? $6000$ $6160$ $5500$ $6600$
113
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 $8464\pi$ $928\pi$ $1044(4+\pi)$ $1026(1+\pi)$
114
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?_______
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______ $8000$ $6000$ $4000$ $2000$
116
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 $0.7$ $1$ $1.2$ $0.50$
117
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 $A> \frac{1}{16}$ $A> \frac{1}{8}$ $A< \frac{1}{16}$ $A< \frac{1}{8}$
Let $A$ and $B$ be two regular polygons having $a$ and $b$ sides, respectively. If $b= 2a$ and each interior angle of $B$ is $3/2$ times each interior angle of $A$, then each interior angle, in degrees, of a regular polygon with $a + b$ sides is_____
If $5^{x}-3^{y}=13438$ and $5^{x-1}+3^{y+1}=9686$, then $x+y$ equals_______
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$?______