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Most viewed questions in Quantitative Aptitude
1
vote
1
answer
1
GATE ECE 2020 | GA Question: 8
A circle with centre $\text{O}$ is shown in the figure. A rectangle $\text{PQRS}$ of maximum possible area is inscribed in the circle. If the radius of the circle is $a$, then the area of the shaded portion is _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
2.0k
views
gate2020-ec
numerical-ability
geometry
circle
area
2
votes
1
answer
2
GATE ECE 2021 | GA Question: 8
Consider a square sheet of side $1$ unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step. one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
1.8k
views
gateec-2021
numerical-ability
mensuration
cones
1
vote
2
answers
3
GATE ECE 2020 | GA Question: 10
The following figure shows the data of students enrolled in $5$ years $(2014\;\text{to}\; 2018)$ for two schools $P$ and $Q$. During this period, the ratio of the average number of the students enrolled in school $P$ to the average of the difference of the number of students enrolled in schools $P$ and $Q$ is _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
1.2k
views
gate2020-ec
numerical-ability
data-interpretation
bar-graph
1
vote
2
answers
4
GATE ECE 2020 | GA Question: 5
A superadditive function $f(\cdot)$ satisfies the following property $f\left ( x_{1} +x_{2}\right )\geq f\left ( x_{1} \right ) + f\left ( x_{2} \right )$ Which of the following functions is a superadditive function for $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
889
views
gate2020-ec
numerical-ability
functions
1
vote
1
answer
5
GATE ECE 2020 | GA Question: 9
$a, b, c$ are real numbers. The quadratic equation $ax^{2}-bx+c=0$ has equal roots, which is $\beta$, then $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
446
views
gate2020-ec
numerical-ability
quadratic-equations
1
vote
1
answer
6
GATE ECE 2021 | GA Question: 9
The number of minutes spent by two students, $X$ and $Y$, exercising every day in a given week are shown in the bar chart above. The number of days in the given week in which one of the students spent a minimum of $10\%$ more than the other student, on a given day, is $4$ $5$ $6$ $7$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
440
views
gateec-2021
numerical-ability
data-interpretation
bar-graph
1
vote
1
answer
7
GATE ECE 2022 | GA Question: 3
A trapezium has vertices marked as $\text{P, Q, R}$ and $\text{S}$ (in that order anticlockwise). The side $\text{PQ}$ is parallel to side $\text{SR}.$ Further, it is given that, $\text{PQ = 11 cm, QR = 4 cm, RS = 6 cm}$ and $\text{SP = 3 cm.}$ What is the shortest distance between $\text{PQ}$ and $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
410
views
gateece-2022
quantitative-aptitude
geometry
1
vote
1
answer
8
GATE ECE 2021 | GA Question: 10
Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is $2:3$ $3:4$ $4:5$ $5:6$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
387
views
gateec-2021
numerical-ability
geometry
triangles
area
1
vote
1
answer
9
GATE ECE 2020 | GA Question: 7
It is quarter past three in your watch. The angle between the hour hand and the minute hand is ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
go_editor
asked
in
Quantitative Aptitude
Feb 13, 2020
by
go_editor
1.9k
points
386
views
gate2020-ec
numerical-ability
clock-time
1
vote
2
answers
10
GATE ECE 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
309
views
gateec-2021
numerical-ability
algebra
2
votes
1
answer
11
GATE ECE 2021 | GA Question: 1
The current population of a city is $11,02,500$ . If it has been increasing at the rate of $5\%$ per annum, what was its population $2$ years ago? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$
Arjun
asked
in
Quantitative Aptitude
Feb 20, 2021
by
Arjun
6.0k
points
290
views
gateec-2021
numerical-ability
simple-compound-interest
0
votes
0
answers
12
GATE ECE 2019 | GA Question: 7
The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. ... in the total number of literates from $2001$ to $2011$ is ______. $30.43$ $33.43$ $34.43$ $35.43$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
6.0k
points
204
views
gate2019-ec
numerical-ability
data-interpretation
bar-graph
0
votes
1
answer
13
GATE ECE 2017 Set 2 | GA Question: 9
The number of $3$-digit numbers such that the digit $1$ is never to the immediate right of $2$ is $781$ $791$ $881$ $891$
admin
asked
in
Quantitative Aptitude
Nov 23, 2017
by
admin
35.7k
points
199
views
gate2017-ec-2
numerical-ability
counting
0
votes
1
answer
14
GATE ECE 2018 | GA Question: 5
A $1.5$ m tall person is standing at a distance of $3$ m from a lamp post. The light from the lamp at the top of the post casts her shadow. The length of the shadow is twice her height. What is the height of the lamp post in meters? $1.5$ $3$ $4.5$ $6$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
191
views
gate2018-ec
numerical-ability
geometry
0
votes
1
answer
15
GATE ECE 2018 | GA Question: 9
A cab was involved in a hit and run accident at night. You are given the following data about the cabs in the city and the accident. 85% of cabs in the city are green and the remaining cabs are blue. A witness identified the cab involved ... tune. Which of the following options is closest to the probability that the accident was caused by a blue cab? 12% 15% 41% 80%
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
175
views
gate2018-ec
numerical-ability
probability
0
votes
0
answers
16
GATE ECE 2016 Set 1 | GA Question: 10
P, Q, R and S are working on a project. Q can finish the task in $25$ days, working alone for $12$ hours a day. R can finish the task in $50$ days, working alone for $12$ hours per day. Q worked $12$ hours a day but took sick leave in the beginning ... ratio of work done by Q and R after $7$ days from the start of the project? $10:11$ $11: 10$ $20:21$ $21:20$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
157
views
gate2016-ec-1
numerical-ability
work-time
1
vote
1
answer
17
GATE ECE 2022 | GA Question: 2
A sum of money is to be distributed among $\text{P, Q, R,}$ and $\text{S}$ in the proportion $5:2:4:3,$ respectively. If $\text{R}$ gets ₹ $ 1000$ more than $\text{S},$ what is the share of $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
155
views
gateece-2022
quantitative-aptitude
ratio-proportions
0
votes
1
answer
18
GATE ECE 2018 | GA Question: 6
Leila aspires to buy a car worth Rs.$10,00,000$ after $5$ years. What is the minimum amount in Rupees that she should deposit now in a bank which offers $10\%$ annual rate of interest, if the interest was compounded annually? $5,00,000$ $6,21,000$ $6,66,667$ $7,50,000$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
153
views
gate2018-ec
numerical-ability
compound-interest
0
votes
2
answers
19
GATE ECE 2019 | GA Question: 4
Five different books $(P, Q, R, S, T)$ are to be arranged on a shelf. The books $R$ and $S$ are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which $P, Q$ and $T$ may be arranged is ______. $2$ $6$ $12$ $120$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
6.0k
points
151
views
gate2019-ec
numerical-ability
permutations-and-combinations
0
votes
1
answer
20
GATE ECE 2019 | GA Question: 9
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when ... paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
6.0k
points
150
views
gate2019-ec
numerical-ability
work-time
0
votes
1
answer
21
GATE ECE 2018 | GA Question: 4
What is the value of $1+\frac{1}{4}+\frac{1}{16}+\frac{1}{256}+ \cdots?$ $2$ $\frac{7}{4}$ $\frac{3}{2}$ $\frac{4}{3}$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
141
views
gate2018-ec
numerical-ability
geometric-progression
0
votes
1
answer
22
GATE ECE 2019 | GA Question: 3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$
Arjun
asked
in
Quantitative Aptitude
Feb 12, 2019
by
Arjun
6.0k
points
127
views
gate2019-ec
numerical-ability
work-time
0
votes
0
answers
23
GATE ECE 2017 Set 2 | GA Question: 10
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 $25$ m intervals in this plot. Which of the following is the steepest path leaving from $P$? $\text{P to Q}$ $\text{P to R}$ $\text{P to S}$ $\text{P to T}$
admin
asked
in
Quantitative Aptitude
Nov 23, 2017
by
admin
35.7k
points
127
views
gate2017-ec-2
numerical-ability
data-interpretation
contour-plots
0
votes
1
answer
24
GATE ECE 2017 Set 1 | GA Question: 10
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 $25$ m 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
Lakshman Patel RJIT
asked
in
Quantitative Aptitude
May 31, 2019
by
Lakshman Patel RJIT
5.1k
points
124
views
gate2017-ec-1
numerical-ability
data-interpretation
contour-plots
0
votes
1
answer
25
GATE ECE 2018 | GA Question: 7
Two alloys $A$ and $B$ contain gold and copper in the ratios of $2:3$ and $3: 7$ by mass, respectively. Equal masses of alloys $A$ and $B$ are melted to make an alloy $C.$ The ratio of gold to copper in alloy $C$ is$:$ $5:10$ $7:13$ $6:11$ $9:13$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
124
views
gate2018-ec
numerical-ability
ratio-proportions
1
vote
1
answer
26
GATE ECE 2022 | GA Question: 8
Four points $\text{P(0, 1), Q(0, – 3), R( – 2, – 1),}$ and $\text{S(2, – 1)}$ represent the vertices of a quadrilateral. What is the area enclosed by the quadrilateral? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
117
views
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
0
votes
1
answer
27
GATE ECE 2018 | GA Question: 3
If the number $715\blacksquare423$ is divisible by $3(\blacksquare$ denotes the missing digit in the thousandths place$),$ then the smallest whole number in the place of $\blacksquare$ is _________. $0$ $2$ $5$ $6$
gatecse
asked
in
Quantitative Aptitude
Feb 19, 2018
by
gatecse
1.5k
points
110
views
gate2018-ec
numerical-ability
number-system
1
vote
1
answer
28
GATE ECE 2022 | GA Question: 7
Consider the following inequalities. $2x – 1 > 7$ $2x – 9 < 1$ Which one of the following expressions below satisfies the above two inequalities? $x \leq – 4$ $ – 4 < x \leq 4$ $4 < x < 5$ $x \geq 5$
Arjun
asked
in
Quantitative Aptitude
Feb 15
by
Arjun
6.0k
points
105
views
gateece-2022
quantitative-aptitude
inequality
0
votes
1
answer
29
GATE ECE 2016 Set 3 | GA Question: 5
It takes $10$s and $15$s, respectively, for two trains traveling at a different constant speeds to completely pass a telegraph post. The length of the first train is $120$ m and that of the second train is $150$ m. The magnitude of the difference in the speeds of the two trains (in m/s) is _________ $2.0$ $10.0$ $12.0$ $22.0$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
97
views
gate2016-ec-3
numerical-ability
speed-time-distance
0
votes
0
answers
30
GATE ECE 2017 Set 2 | GA Question: 5
$500$ students are taking one or more course out of Chemistry, Physics, and Mathematics. Registration records indicate course enrollment as follows: Chemistry $(329)$, Physics $(186)$, and Mathematics $(295)$. Chemistry and Physics $(83)$, Chemistry and ... Physics and Mathematics $(63)$. How many students are taking all $3$ subjects? $37$ $43$ $47$ $53$
admin
asked
in
Quantitative Aptitude
Nov 23, 2017
by
admin
35.7k
points
96
views
gate2017-ec-2
numerical-ability
venn-diagrams
0
votes
0
answers
31
GATE ECE 2015 Set 2 | GA Question: 4
An electric bulb has onboard instruments that report the total electricity consumed since the start of the trip as well as the total distance covered. During a single day of operation, the bus travels on stretches $M, N, O,$ and $P,$ in that order. ... $km$ is minimum is M N O P
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
76
views
gate2015-ec-2
numerical-ability
data-interpretation
tabular-data
0
votes
0
answers
32
GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
76
views
gate2015-ec-1
numerical-ability
logarithms
0
votes
0
answers
33
GATE ECE 2012 | Question: 62
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ notes that Raju has is $5$ $6$ $9$ $10$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 25, 2018
by
Milicevic3306
15.8k
points
74
views
gate2012-ec
numerical-ability
numerical-computation
0
votes
0
answers
34
GATE ECE 2016 Set 3 | GA Question: 10
A straight line is fit to a data set $(\text{ln }x,y).$ This line intercepts the abscissa at $\text{ln } x =0.1$ and has a slope of $-0.02$. What is the value of $y$ at $x=5$ from the fit? $-0.030$ $-0.014$ $0.014$ $0.030$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
70
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
35
GATE ECE 2017 Set 1 | GA Question: 4
$40 \%$ 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 $120$ $144$ $160$ $212$
admin
asked
in
Quantitative Aptitude
Nov 17, 2017
by
admin
35.7k
points
70
views
gate2017-ec-1
numerical-ability
data-interpretation
pie-chart
0
votes
0
answers
36
GATE ECE 2017 Set 1 | GA Question: 9
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? $56$ $52$ $48$ $44$
admin
asked
in
Quantitative Aptitude
Nov 17, 2017
by
admin
35.7k
points
68
views
gate2017-ec-1
numerical-ability
counting
0
votes
0
answers
37
GATE ECE 2017 Set 1 | GA Question: 8
Trucks ($10$ 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 truck and a gap of at least $15$ m after each car. Trucks and cars travel at a speed of $36$ km/h. If cars and trucks go alternately, what is the maximum number of vehicles that can use the bridge in one hour? $1440$ $1200$ $720$ $600$
admin
asked
in
Quantitative Aptitude
Nov 17, 2017
by
admin
35.7k
points
67
views
gate2017-ec-1
numerical-ability
speed-time-distance
0
votes
0
answers
38
GATE ECE 2016 Set 3 | GA Question: 9
Find the area bounded by the lines $3x+2y=14$, $2x-3y=5$ in the first quadrant. $14.95$ $15.25$ $15.70$ $20.35$
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
65
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
39
GATE ECE 2017 Set 2 | GA Question: 8
$1200$ men and $500$ women can build a bridge in $2$ weeks. $900$ men and $250$ women will take $3$ weeks to build the same bridge. How many men will be needed to build the bridge in one week? $3000$ $3300$ $3600$ $3900$
admin
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in
Quantitative Aptitude
Nov 23, 2017
by
admin
35.7k
points
65
views
gate2017-ec-2
numerical-ability
work-time
0
votes
0
answers
40
GATE ECE 2015 Set 2 | GA Question: 8
A tiger is $50$ leaps of its own behind a tree. The tiger takes $5$ leaps per minute to the deer's $4$. If the tiger and the deer cover $8$ meter and $5$ meter per leap respectively, what distance in meters will the tiger have to run before it catches the deer?
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
63
views
gate2015-ec-2
numerical-answers
numerical-ability
speed-time-distance
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