Recent questions tagged quantitative-aptitude - Aptitude Overflow

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1

Aptitude , Chapter :Ratio Proportion

asked May 15 in Quantitative Aptitude by LavTheRawkstar (28 points) | 60 views

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2

mixture and alligation self doubt
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 by Abhipsa (14 points) | 129 views

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3

CAT2019-2: 67
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 by jothee (11.4k points) | 66 views

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4

CAT2019-2: 68
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 by jothee (11.4k points) | 34 views

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5

CAT2019-2: 69
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 by jothee (11.4k points) | 118 views

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6

CAT2019-2: 70
How many pairs $(m,n)$ of positive integers satisfy the equation $m^{2}+105=n^{2}$?____

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 35 views

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7

CAT2019-2: 74
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 by jothee (11.4k points) | 34 views

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8

CAT2019-2: 76
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 by jothee (11.4k points) | 60 views

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9

CAT2019-2: 75
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 by jothee (11.4k points) | 33 views

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10

CAT2019-2: 72
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 by jothee (11.4k points) | 38 views

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11

CAT2019-2: 73
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 by jothee (11.4k points) | 37 views

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12

CAT2019-2: 71
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 by jothee (11.4k points) | 72 views

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13

CAT2019-2: 82
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 by jothee (11.4k points) | 30 views

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14

CAT2019-2: 77
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 by jothee (11.4k points) | 35 views

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15

CAT2019-2: 81
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 by jothee (11.4k points) | 61 views

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16

CAT2019-2: 78
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 by jothee (11.4k points) | 35 views

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17

CAT2019-2: 79
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 by jothee (11.4k points) | 29 views

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18

CAT2019-2: 80
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 by jothee (11.4k points) | 27 views

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19

CAT2019-2: 83
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 ... 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 by jothee (11.4k points) | 55 views

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20

CAT2019-2: 84
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 ... $C$ 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 by jothee (11.4k points) | 24 views

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21

CAT2019-2: 87
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 by jothee (11.4k points) | 35 views

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22

CAT2019-2: 86
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 by jothee (11.4k points) | 50 views

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23

CAT2019-2: 85
How many factors $2^{4}\times3^{5}\times10^{4}$ are perfect squares which are greater than $1$?_____

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 33 views

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24

CAT2019-2: 88
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 in Quantitative Aptitude by jothee (11.4k points) | 33 views

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25

CAT2019-2: 89
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 in Quantitative Aptitude by jothee (11.4k points) | 31 views

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26

CAT2019-2: 91
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 by jothee (11.4k points) | 40 views

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27

CAT2019-2: 90
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 by jothee (11.4k points) | 53 views

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28

CAT2019-2: 92
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 ... 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 in Quantitative Aptitude by jothee (11.4k points) | 29 views

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29

CAT2019-2: 93
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 in Quantitative Aptitude by jothee (11.4k points) | 18 views

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30

CAT2019-2: 97
If $5^{x}-3^{y}=13438$ and $5^{x-1}+3^{y+1}=9686$, then $x+y$ equals_______

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 40 views

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31

CAT2019-2: 98
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_____

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 31 views

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32

CAT2019-2: 96
If $(2n+1)+(2n+3)+(2n+5)+\dots+(2n+47)=5280,$ then what is the value of $1+2+3+\dots+n$?______

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 23 views

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33

CAT2019-2: 95
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 in Quantitative Aptitude by jothee (11.4k points) | 29 views

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34

CAT2019-2: 94
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 in Quantitative Aptitude by jothee (11.4k points) | 37 views

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35

CAT2019-2: 99
The number of common terms in the two sequences: $15, 19, 23, 27,\dots,415$ and $14, 19, 24, 29,\dots,464$ is $18$ $19$ $21$ $20$

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 35 views

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36

CAT2019-2: 100
Amal invests Rs $12000$ at $8$% interest, compounded annually, and Rs $10000$ at $6$% interest, compounded semi-annually, both investments being for one year. Bimal invests his money at $7.5$% simple interest for one year. If Amal and Bimal get the same amount of interest, then the amount, in Rupees, invested by Bimal is ______

asked Mar 20 in Quantitative Aptitude by jothee (11.4k points) | 38 views

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37

CAT2019-1: 68
The income of Amala is $20$% more than that of Bimala and $20$% less than that of Kamala. If kamala’s income goes down by $4$% and Bimala’s goes up by $10$%, then the percentage by which kamala’s income would exceed Bimala’s is nearest to $31$ $28$ $32$ $29$

asked Mar 8 in Quantitative Aptitude by jothee (11.4k points) | 38 views

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38

CAT2019-1: 67
If $m$ and $n$ are integers such that $(\sqrt{2})^{19}3^{4}4^{2}9^{m}8^{n}=3^{n}16^{m}(\sqrt[4]{64})$ then $m$ is $-20$ $-12$ $-24$ $-16$

asked Mar 8 in Quantitative Aptitude by jothee (11.4k points) | 39 views

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39

CAT2019-1: 73
Ramesh and Gautam are among $22$ students who write an examination. Ramesh scores $82.5$. The average score of the $21$ students other than Gautam is $62$. The average score of all the $22$ students is one more than the average score of the $21$ students other than Ramesh. The score of Gautam is $49$ $48$ $51$ $53$

asked Mar 8 in Quantitative Aptitude by jothee (11.4k points) | 33 views

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40

CAT2019-1: 74
At their usual efficiency levels, A and B together finish a task in $12$ days. If A had worked half as efficiency as she usually does, and B had worked thrice as efficiency as he usually does, the task would have been completed in $9$ days. How many days would A take to finish the task if she works alone at her usual efficiency? $24$ $18$ $12$ $36$

asked Mar 8 in Quantitative Aptitude by jothee (11.4k points) | 32 views

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