Recent questions and answers in Quantitative Aptitude

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GATE BT 2022 | GA Question: 2
Two straight lines pass through the origin $(x_{0}, y_{0}) = (0, 0)$. One of them passes through the point $(x_{1}, y_{1}) = (1, 3)$ and the other passes through the point $(x_{2}, y_{2}) = (1, 2)$. What is the area enclosed between the straight lines in the interval $[0, 1]$ on the $x$-axis? $0.5$ $1.0$ $1.5$ $2.0$

Lakshman Patel RJIT asked in Quantitative Aptitude Mar 20

by Lakshman Patel RJIT

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2

GATE BT 2022 | GA Question: 3
If $p : q = 1:2$ $q : r = 4 : 3$ $r : s = 4 : 5$ and $u$ is $50\%$ more than $s$, what is the ratio $p : u$? $2 : 15$ $16 : 15$ $1 : 5$ $16 : 45$

Lakshman Patel RJIT asked in Quantitative Aptitude Mar 20

by Lakshman Patel RJIT

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3

GATE BT 2022 | GA Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ = Area ... $\text{SPQT}$ - Area of $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$

Lakshman Patel RJIT asked in Quantitative Aptitude Mar 20

by Lakshman Patel RJIT

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4

GATE BT 2022 | GA Question: 7
$\text{P}$ invested ₹$5000$ per month for $6$ months of a year and $\text{Q}$ invested ₹$x$ per month for $8$ months of the year in a partnership business. The profit is shared in proportion to the total investment made in that year. If at the end of that ... receives $\frac{4}{9}$ of the total profit, what is the value of $x$ (in ₹)? $2500$ $3000$ $4687$ $8437$

Lakshman Patel RJIT asked in Quantitative Aptitude Mar 20

by Lakshman Patel RJIT

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5

GATE BT 2022 | GA Question: 8
The above frequency chart shows the frequency distribution of marks obtained by a set of students in an exam. From the data presented above, which one of the following is $\text{CORRECT}$? mean > mode > median mode > median> mean mode > mean > median median > mode > mean

Lakshman Patel RJIT asked in Quantitative Aptitude Mar 20

by Lakshman Patel RJIT

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6

GATE BT 2021 | GA Question: 1
The ratio of boys to girls in a class is $7$ to $3$. Among the options below, an acceptable value for the total number of students in the class is $21$ $37$ $50$ $73$

Sharanam answered in Quantitative Aptitude Jun 27, 2021

by Sharanam

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7

GATE BT 2021 | GA Question: 6
We have $2$ rectangular sheets of paper, $M$ and $N$, of dimensions $6$ cm $\times$ $1$ cm each. Sheet $M$ is rolled to form an open cylinder by bringing the short edges of the sheet together. Sheet $N$ is cut into equal square patches and assembled to form the largest ... of the cube is _____________ $\frac{\pi}{2}\\$ $\frac{3}{\pi} \\$ $\frac{9}{\pi} \\$ $3 \pi$

go_editor asked in Quantitative Aptitude Mar 1, 2021

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8

GATE BT 2021 | GA Question: 7
... $Q$, as a percentage of its marked price, is ___________ $25$ $12.5$ $10$ $5$

go_editor asked in Quantitative Aptitude Mar 1, 2021

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9

GATE BT 2021 | GA Question: 8
There are five bags each containing identical sets of ten distinct chocolates. One chocolate is picked from each bag. The probability that at least two chocolates are identical is _________ $0.3024$ $0.4235$ $0.6976$ $0.8125$

go_editor asked in Quantitative Aptitude Mar 1, 2021

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10

GATE2020: GA: 5
The difference between the sum of the first $2n$ natural numbers and the sum of the first $n$ odd natural numbers is ______ $n^2-n$ $n^2+n$ $2n^2-n$ $2n^2+n$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

by soujanyareddy13

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11

GATE2020: GA: 8
The distance between Delhi and Agra is $233$ km. A car $P$ started travelling from Delhi to Agra and another car $Q$ started from Agra to Delhi along the same road $1$ hour after the car $P$ started. The two cars crossed each other $75$ minutes after the car $Q$ ... $Q$ had travelled when the cars crossed each other? $66.6$ $75.2$ $88.2$ $116.5$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

by soujanyareddy13

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12

GATE2020: GA: 9
For a matrix $M=[m_{ij}]; \: i,j=1,2,3,4$, the diagonal elements are all zero and $m_{ij}=-m_{ji}$. The minimum number of elements required to fully specify the matrix is ________ $0$ $6$ $12$ $16$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

by soujanyareddy13

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13

GATE2020: GA: 10
The profit shares of two companies $P$ and $Q$ are shown in the figure. If the two companies have invested a fixed and equal amount every year, then the ratio of the total revenue of company $P$ to the revenue of company $Q$, during $2013-2018$ is ________. $15 : 17$ $16 : 17$ $17 : 15$ $17 : 16$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

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14

GATE2019: GA-3
The radius as well as the height of a circular cone increases by $10\%.$ The percentage increase in its volume is ________. $17.1$ $21.0$ $33.1$ $72.8$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

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15

GATE2019: GA-7
In a country of $1400$ million population, $70\%$ own mobile phones. Among the mobile phone owners, only $294$ million access the Internet. Among these Internet users, only half buy goods from e-commerce portals. What is the percentage of these buyers in the country? $10.50$ $14.70$ $15.00$ $50.00$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

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16

GATE2019: GA-9
Two trains started at $7$AM from the same point. The first train travelled north at a speed of $80$km/h and the second train travelled south at a speed of $100$ km/h. The time at which they were $540$ km apart is ________ AM. $9$ $10$ $11$ $11.30$

soujanyareddy13 asked in Quantitative Aptitude Nov 3, 2020

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17

GATE2016-GA-5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is $6$ m, the area of the Window in $m^2$ is $1.43$ $2.06$ $2.68$ $2.88$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

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18

GATE2016-GA-6
Students taking an exam are divided into two groups: $P$ and $Q$ such that each group has the same number of students. The performance of each of the students in a test was evaluated out of $200$ marks. It was observed that the mean of group $P$ was $105$, while ... of group $Q$ scored marks in a narrower range than students in group $P$. The median of the marks of group $P$ is $100$.

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

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19

GATE2016-GA-9
The binary operation $\square$ is defined as $a \square b = ab+(a+b)$, where $a$ and $b$ are any two real numbers. The value of the identity element of this operation, defined as the number $x$ such that $a \square x = a$, for any $a$, is $0$ $1$ $2$ $10$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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20

GATE2016-GA-10
Which of the following curves represents the function $y = \ln (\mid e^{ [ \mid \sin ( \mid x \mid ) \mid ]} \mid )$ for $\mid x \mid < 2 \pi$?. Here, $x$ represents the abscissa and $y$ represents the ordinate.

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

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21

GATE2017-58
In the summer, water consumption is known to decrease overall by $25\%$. A Water Board official states that in the summer household consumption decreases by $20\%$. While other consumption increases by $70\%$. Which of the following statements is correct? The ... consumption is $1/17$ The ratio of household to other consumption is $17/8$ There are errors in the official s statement

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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22

GATE2017-59
$40\%$ of deaths on city roads may be attributed to drunken driving. The number of degrees needed to represent this as a slice of a pie chart is $120$ $144$ $160$ $212$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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23

GATE2017-63
Trunks ($10$ m long) and cars ($5$ m long) go on a single lane bridge. There must be a gap of at least $20$ m after each trunk and a gap of at least $15$ m after each car. Trunks and cars travel at a speed of $36$ km/h. If cars and trunks go alternately, what is the maximum number of vehicles that can use the bridge on one hour? $1440$ $1200$ $720$ $600$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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24

GATE2017-64
There are $3$ Indians and $3$ Chinese in a group of $6$ people. How many subgroups of this group can we choose so that every subgroup has at least one Indian? $56$ $52$ $48$ $44$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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25

GATE2017-65
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ n intervals in this plot. The path from P to Q is best described by Up-Down-Up-Down Down-Up-Down-Up Down-Up-Down Up-Down-Up

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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26

GATE2015-4
Operators $\square$, $\lozenge$ and $\rightarrow$ are defined by: $a \: \square \: b = \dfrac{a-b}{a+b}$; $a \: \lozenge \: b = \dfrac{a+b}{a-b}$; $a \rightarrow b = ab$. Find the value of $(66 \: \square \: 6) \rightarrow (66 \: \lozenge \: 6)$. $-2$ $-1$ $1$ $2$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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27

GATE2015-5
If $\log_x (5/7) = -1/3$, then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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28

GATE2015-9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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29

GATE2014-GA-4
In any given year, the probability of an earthquake greater than Magnitude $6$ occurring in the Garhwal Himalayas is $0.04$. The average time between successive occurrences of such earthquakes is_____ years.

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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30

GATE2014-GA-5
The population of a new city is $5$ million and is growing at $20\%$ annually. How many years would it take to double at this growth rate? $3-4$ years $4-5$ years $5-6$ years $6-7$ years

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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31

GATE2014-GA-8
Q8The total exports and revenues from the exports of a country are given in the two pie charts below.The pie chart for exports shows the quantity of each item as a percentage of the total quantity ofexports. The pie chart for the revenues shows the percentage of ... of Item 1per kilogram to the revenue generated through export of Item 4 per kilogram?Exports Revenues 1:2 2:1 1:4 4:1

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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32

GATE2014-GA-10
$10\%$ of the population in a town is HIV+. A new diagnostic kit for HIV detection is available; this kit correctly identifies HIV+ individuals 95% of the time, and HIV individuals $89\%$ of the time. A particular patient is tested using this kit and is found to be positive. The probability that the individual is actually positive is_______

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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33

GATE2013-64
If $\text{|-2X + 9| = 3}$ then the possible value of $|-X|-X^2$ would be: $30$ $-30$ $-42$ $42$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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34

GATE2013-63
Following table gives data on tourists from different countries visiting India in the year $2011$ ... third of the total number of tourists ho visited India in $2011$? USA and Japan USA and Australia England and France Japan and Australia

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

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35

GATE2013-62
In a factory, two machines $M1$ and $M2$ manufacture $60\%$ and $40\%$ of the autocomponents respectively. Out of the total production $2\%$ of $M1$ and $3\%$ of $M2$ are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by $M2$? $0.35$ $0.45$ $0.5$ $0.4$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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36

GATE2013-56
d 8 S Y S 11 then which of the following options is TRUE?

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

by Milicevic3306

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37

GATE2013-61
Velocity of an object fired directly in upward direction is given by $V = 80-32 t$, where $t$ (time)is in seconds. When will the velocity be between $32 m/sec$ and $64 m/sec$. $(1,3/2)$ $(½,1)$ $(½, 3/2)$ $(1, 3)$

Milicevic3306 asked in Quantitative Aptitude Mar 26, 2018

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38

GATE2012-65
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y = 2x -0.1x^2$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is 8 meters 10 meters 12 meters 14 meters

Milicevic3306 asked in Quantitative Aptitude Mar 25, 2018

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39

GATE2012-64
An automobile plant contracted to buy shock absorbers from two suppliers $X$ and $Y$. $X$ supplies $60\%$ and $Y$ supplies $40 \%$ ... chosen shock absorber, which is found to be reliable, is made by $Y$ is $0.288$ $0.334$ $0.667$ $0.720$

Milicevic3306 asked in Quantitative Aptitude Mar 25, 2018

by Milicevic3306

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40

GATE2012-63
Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged P, Q Q, R P, R R, S

Milicevic3306 asked in Quantitative Aptitude Mar 25, 2018

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