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Recent questions tagged quantitative-aptitude

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Aamir and Birju can cut $5000\;\text{g}$ of wood in $20$ min. Birju and Charles can cut $5000\;\text{g}$ of wood in $40$ min. Charles and Aamir cut $5\;\text{kg}$ of wood in $30$ min. How much time Charles will take to cut $5\;\text{kg}$ wood alone? $120$ min $48$ min $240$ min $120/7$ min
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 125 views
1 vote
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3
The difference between the compound interest and the simple interest earned at the end of $3^{rd}$ year on a sum of money at a rate of $10\%$ per annum is Rs. $77.5.$ What is the sum? Rs. $3,500$ Rs. $2,500$ Rs. $3,000$ Rs. $2,000$
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 84 views
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4
An alloy contains copper and zinc in the ratio $5:3$ and another contains copper and tin in the ratio $8:5.$ If equal weights of the two are melted together to form a $3^{rd}$ alloy, find the weight of tin per kg in the new alloy. $40/129$ $5/13$ $5/26$ $28/5$
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 83 views
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5
Line $AB$ is $24$ metres in length and is tangent to the inner one of the two concentric circles at point $C.$ Points $A$ and $B$ lie on the circumference of the outer circle. It is known that the radii of the two circles are integers. The radius of the outer circle is $13$ m $5$ m $7$ m $4$ m
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 74 views
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6
$x$ is a whole number. If the only common factors of $x$ and $x2$ are $1$ and $x,$ then $x$ is ________. $1$ a perfect square an odd number a prime number
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 72 views
1 vote
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7
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 54 views
1 vote
1 answer
8
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? $\$3000$ $\$300$ $\$110$ $\$10$
asked Apr 1 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 80 views
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9
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? $5$ $7.5$ $10$ $12$
asked Apr 1 in Others Lakshman Patel RJIT 6.7k points 9 107 447 61 views
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10
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 63 views
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11
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 70 views
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12
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 49 views
1 vote
1 answer
13
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 86 views
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14
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 37 views
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15
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 43 views
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16
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 in Quantitative Aptitude Lakshman Patel RJIT 6.7k points 9 107 447 65 views
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17
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 in Quantitative Aptitude Abhipsa 14 points 1 2 3 168 views
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18
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 49 views
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19
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 92 views
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20
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 141 views
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21
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$?____
asked Mar 20 in Quantitative Aptitude jothee 11.4k points 186 886 1826 48 views
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22
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 55 views
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23
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 98 views
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24
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 105 views
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25
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 47 views
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26
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 47 views
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27
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 48 views
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28
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 45 views
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29
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 35 views
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30
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 38 views
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31
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 49 views
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32
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 72 views
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33
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 42 views
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34
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 68 views
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35
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 75 views
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36
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 33 views
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37
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 47 views
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38
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$?_____
asked Mar 20 in Quantitative Aptitude jothee 11.4k points 186 886 1826 49 views
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39
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 56 views
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40
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 in Quantitative Aptitude jothee 11.4k points 186 886 1826 79 views
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