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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 $x > 1$? $e^{x}$ $\sqrt{x}$ $1/x$ $e^{-x}$
Lakshman Patel RJIT
answered
in
Numerical Ability
Apr 10
by
Lakshman Patel RJIT
3.8k
points
532
views
gate2020-ec
numerical-ability
functions
1
vote
2
answers
2
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 _______. $8 : 23$ $23 : 8$ $23 : 31$ $31 : 23$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 31
by
Lakshman Patel RJIT
3.8k
points
755
views
gate2020-ec
numerical-ability
data-interpretation
bar-graph
1
vote
1
answer
3
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 $2:3$ $3:4$ $4:5$ $5:6$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 22
by
Lakshman Patel RJIT
3.8k
points
182
views
gateec-2021
numerical-ability
geometry
triangles
area
1
vote
1
answer
4
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 $4$ $5$ $6$ $7$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 22
by
Lakshman Patel RJIT
3.8k
points
210
views
gateec-2021
numerical-ability
data-interpretation
bar-graph
1
vote
1
answer
5
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 ____________ $\frac{\pi }{3}$ $\frac{2\pi }{3}$ $\frac{3\pi }{2}$ $3\pi$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 22
by
Lakshman Patel RJIT
3.8k
points
775
views
gateec-2021
numerical-ability
mensuration
cones
2
votes
1
answer
6
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? $9,92,500$ $9,95,006$ $10,00,000$ $12,51,506$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 22
by
Lakshman Patel RJIT
3.8k
points
161
views
gateec-2021
numerical-ability
simple-compound-interest
1
vote
2
answers
7
GATE ECE 2021 | GA Question: 2
$p$ and $q$ are positive integers and $\dfrac{p}{q}+\dfrac{q}{p}=3,$ then, $\dfrac{p^{2}}{q^{2}}+\dfrac{q^{2}}{p^{2}}=$ $3$ $7$ $9$ $11$
Lakshman Patel RJIT
answered
in
Numerical Ability
Mar 22
by
Lakshman Patel RJIT
3.8k
points
153
views
gateec-2021
numerical-ability
algebra
0
votes
1
answer
8
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. $000.00$ $166.67$ $300.00$ $433.33$
haralk10
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in
Numerical Ability
Aug 12, 2020
by
haralk10
960
points
119
views
gate2019-ec
numerical-ability
work-time
1
vote
1
answer
9
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 $\beta =b/a$ $\beta^{2} =ac$ $\beta^{3} =bc/\left ( 2a^{2} \right )$ $\beta^{2} \neq 4ac$
haralk10
answered
in
Numerical Ability
Aug 11, 2020
by
haralk10
960
points
250
views
gate2020-ec
numerical-ability
quadratic-equations
1
vote
1
answer
10
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 _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
haralk10
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in
Numerical Ability
Aug 11, 2020
by
haralk10
960
points
1.4k
views
gate2020-ec
numerical-ability
geometry
circle
area
1
vote
1
answer
11
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 ________. $0^{\circ}$ $7.5^{\circ}$ $15^{\circ}$ $22.5^{\circ}$
Madhav
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in
Numerical Ability
May 10, 2020
by
Madhav
1.4k
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229
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gate2020-ec
numerical-ability
clock-time
0
votes
1
answer
12
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 $781$ $791$ $881$ $891$
suraj20041995
answered
in
Numerical Ability
Oct 12, 2019
by
suraj20041995
190
points
174
views
gate2017-ec-2
numerical-ability
counting
0
votes
2
answers
13
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 ______. $2$ $6$ $12$ $120$
maha_m
answered
in
Numerical Ability
Oct 12, 2019
by
maha_m
140
points
122
views
gate2019-ec
numerical-ability
permutations-and-combinations
0
votes
1
answer
14
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. $2/3$ $3/4$ $4/3$ $7/3$
Debdeep1998
answered
in
Numerical Ability
Jul 23, 2019
by
Debdeep1998
180
points
98
views
gate2019-ec
numerical-ability
work-time
0
votes
1
answer
15
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
Debdeep1998
answered
in
Numerical Ability
Jul 23, 2019
by
Debdeep1998
180
points
97
views
gate2017-ec-1
numerical-ability
data-interpretation
contour-plots
0
votes
0
answers
16
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
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in
Numerical Ability
Feb 12, 2019
by
Arjun
4.5k
points
176
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gate2019-ec
numerical-ability
data-interpretation
bar-graph
0
votes
0
answers
17
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
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in
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
42
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gate2016-ec-3
numerical-ability
speed-time-distance
0
votes
0
answers
18
GATE ECE 2016 Set 3 | GA Question: 6
The velocity $V$ of a vehicle along a straight line is measured in m/s and plotted as shown with respect to time in seconds. At the end of the $7$ seconds, how much will the odometer reading increase by (in m)? $0$ $3$ $4$ $5$
Milicevic3306
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in
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
41
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gate2016-ec-3
numerical-ability
speed-time-distance
0
votes
0
answers
19
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
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
20
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
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in
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
21
GATE ECE 2016 Set 2 | GA Question: 5
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ amd $M$ have $6$ hour shifts in a day, whereas $E$ and $F$ have $12$ hours shifts. What is the ratio of contribution of $M$ to contribute of $E$ in the project? $1:1$ $1:2$ $1:4$ $2:1$
Milicevic3306
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
25
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gate2016-ec-2
numerical-ability
ratio-proportions
0
votes
0
answers
22
GATE ECE 2016 Set 2 | GA Question: 6
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of students who like to read books or play sports is _____. $44$ $51$ $79$ $108$
Milicevic3306
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Mar 28, 2018
by
Milicevic3306
15.8k
points
31
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gate2016-ec-2
numerical-ability
venn-diagrams
0
votes
0
answers
23
GATE ECE 2016 Set 2 | GA Question: 8
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by the clock? $8.15$ $11.15$ $12.15$ $12.45$
Milicevic3306
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
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36
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gate2016-ec-2
numerical-ability
clock-time
0
votes
0
answers
24
GATE ECE 2016 Set 2 | GA Question: 9
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest distance (in km) between $M$ and $N$ at the end of their travel? $18.60$ $22.50$ $20.61$ $25.00$
Milicevic3306
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Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
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23
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gate2016-ec-2
numerical-ability
direction-sense
0
votes
0
answers
25
GATE ECE 2016 Set 2 | GA Question: 10
A wire of length $340$ mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of $1:2$. What is the length of the square (in mm) such that the combined area of the square and the rectagle is a $\textbf{MINIMUM?}$ $30$ $40$ $120$ $180$
Milicevic3306
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Milicevic3306
15.8k
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26
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gate2016-ec-2
numerical-ability
geometry
area
0
votes
0
answers
26
GATE ECE 2016 Set 1 | GA Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together,$15\%$ are unripe fruits. Of the unripe fruits, $45 \%$ are apples. Of the ripe ones, $66 \%$ are oranges. If the pile contains a total of $5692000$ fruits, how many of them are apples? $2029198$ $2467482$ $2789080$ $3577422$
Milicevic3306
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Numerical Ability
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Milicevic3306
15.8k
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22
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gate2016-ec-1
numerical-ability
percentage
0
votes
0
answers
27
GATE ECE 2016 Set 1 | GA Question: 5
Michael lives $10$ km away from where I live. Ahmed lives $5$ km away and Susan lives $7$ km away from where I live. Arun is farther away than Ahmed but closer than Susan from where I live. From the information provided here, what is one possible distance (in km) at which I live from Arun’s place? $3.00$ $4.99$ $6.02$ $7.01$
Milicevic3306
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Milicevic3306
15.8k
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gate2016-ec-1
numerical-ability
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0
votes
0
answers
28
GATE ECE 2016 Set 1 | GA Question: 6
A person moving through a tuberculosis prone zone has a $50 \%$ probability of becoming infected. However, only $30 \%$ of infected people develop the disease. What percentage of people moving through a tuberculosis prone zone remains infected but does not show symptoms of disease? $15$ $33$ $35$ $37$
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29
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gate2016-ec-1
numerical-ability
probability
0
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0
answers
29
GATE ECE 2016 Set 1 | GA Question: 9
If $q^{-a} = \frac{1}{r}$ and $r^{-b}=\frac{1}{s}$ and $s^{-c} = \frac{1}{q}$ ,the value of $abc$ is______. $(rqs)^{-1}$ $0$ $1$ $r+q+s$
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Milicevic3306
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26
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gate2016-ec-1
numerical-ability
algebra
0
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0
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30
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? $10:11$ $11: 10$ $20:21$ $21:20$
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Milicevic3306
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143
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gate2016-ec-1
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work-time
0
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0
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31
GATE ECE 2015 Set 3 | GA Question: 5
If $x>y>1,$ which of the following must be true? $\text{ln } x > \text{ln }y$ $e^{x}>e^{y}$ $y^{x}>x^{y}$ $\cos x> \cos y$ $(i)$ and $(ii)$ $(i)$ and $(iii)$ $(iii)$ and $(iv)$ $(ii)$ and $(iv)$
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gate2015-ec-3
numerical-ability
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0
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0
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32
GATE ECE 2015 Set 3 | GA Question: 8
From a circular sheet of paper of radius $30$ cm, a sector of $10\%$ area is removed. If the remaining part is used to make a conical surface, then the ratio of the radius and height of the cone is ________.
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34
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gate2015-ec-3
numerical-answers
numerical-ability
geometry
0
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0
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33
GATE ECE 2015 Set 3 | GA Question: 9
$\log \tan1^{\circ}+ \log \tan2^{\circ}+ \dots + \log \tan89^{\circ}$ is $1$ $\frac{1}{\sqrt{2}}$ $0$ $-1$
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gate2015-ec-3
numerical-ability
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0
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34
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
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43
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gate2015-ec-2
numerical-ability
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0
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35
GATE ECE 2015 Set 2 | GA Question: 5
Ram and Ramesh appeared in an interview for two vacancies in the same department. The probability of Ram's selection is $1/6$ and that of Ramesh is $1/8$. What is the probability that only one of them will be selected? $47/48$ $1/4$ $13/48$ $35/48$
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Numerical Ability
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38
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gate2015-ec-2
numerical-ability
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36
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?
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numerical-answers
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0
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0
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37
GATE ECE 2015 Set 2 | GA Question: 9
if $a^2+b^2+c^2=1$ then $ab+bc+ac$ lies in the interval $[1,2/3]$ $[-1/2,1]$ $[-1,1/2]$ $[2,-4]$
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polynomials
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38
GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
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39
GATE ECE 2015 Set 1 | GA Question: 8
Fill in the missing value
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gate2015-ec-1
numerical-answers
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sequence-series
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40
GATE ECE 2015 Set 1 | GA Question: 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. $1:4$ $1:3$ $1:2$ $2:3$
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