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Recent questions tagged quantitative-aptitude
2
votes
1
answer
1
GATE ECE 2023 | GA Question: 3
What is the smallest number with distinct digits whose digits add up to $45?$ $123555789$ $123457869$ $123456789$ $99999$
What is the smallest number with distinct digits whose digits add up to $45?$$123555789$$123457869$$123456789$$99999$
admin
46.4k
points
398
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
number-theory
+
–
2
votes
2
answers
2
GATE ECE 2023 | GA Question: 4
In a class of $100$ students, there are $30$ students who neither like romantic movies nor comedy movies, the number of students who like romantic movies is twice the number of students who like comedy movies, and the number of students who like both romantic movies and comedy movies is $20$. How many students in the class like romantic movies? $40$ $20$ $60$ $30$
In a class of $100$ students,there are $30$ students who neither like romantic movies nor comedy movies,the number of students who like romantic movies is twice the numbe...
admin
46.4k
points
702
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
venn-diagrams
+
–
2
votes
2
answers
3
GATE ECE 2023 | GA Question: 7
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$ $f(x)=x 2^{-|x|}$ $f(x)=|x| 2^{-x}$ $f(x)=x 2^{-x}$
Which one of the following options represents the given graph? $f(x)=x^{2} 2^{-|x|}$$f(x)=x 2^{-|x|}$$f(x)=|x| 2^{-x}$$f(x)=x 2^{-x}$
admin
46.4k
points
647
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
functions
+
–
1
votes
2
answers
4
GATE ECE 2023 | GA Question: 10
A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions $100 \mathrm{~cm} \times 1 \mathrm{~cm}$. The total number of creases visible when the sheet is unfolded is ___________. $32$ $5$ $31$ $63$
A $100 \mathrm{~cm} \times 32 \mathrm{~cm}$ rectangular sheet is folded $5$ times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually,...
admin
46.4k
points
580
views
admin
asked
May 20, 2023
Quantitative Aptitude
gateece-2023
quantitative-aptitude
mensuration
+
–
1
votes
0
answers
5
TIFR ECE 2015 | Question: 11
For $x>0$, for which range of values of $\alpha$ is the following inequality true? \[ x \log _{e}(x) \geq x-\alpha \] $\alpha \geq 1 / 2$ $\alpha \geq 0$ $\alpha \leq 2$ $\alpha \geq 1$ None of the above
For $x>0$, for which range of values of $\alpha$ is the following inequality true?\[x \log _{e}(x) \geq x-\alpha\]$\alpha \geq 1 / 2$$\alpha \geq 0$$\alpha \leq 2$$\alpha...
admin
46.4k
points
102
views
admin
asked
Dec 15, 2022
Quantitative Aptitude
tifr2015
quantitative-aptitude
logarithms
inequality
+
–
1
votes
0
answers
6
TIFR ECE 2014 | Question: 15
You are allotted a rectangular room of a fixed height. You have decided to paint the three walls and put wallpaper on the fourth one. Walls can be painted at a cost of Rs. $10$ per meter and the wall paper can be put at the rate of Rs $20$ per meter for that ... $200$ square meter room? $400 \times \sqrt{3} $ $400$ $400 \times \sqrt{2}$ $200 \times \sqrt{3}$ $500$
You are allotted a rectangular room of a fixed height. You have decided to paint the three walls and put wallpaper on the fourth one. Walls can be painted at a cost of Rs...
admin
46.4k
points
86
views
admin
asked
Dec 14, 2022
Others
tifr2014
quantitative-aptitude
geometry
+
–
1
votes
0
answers
7
TIFR ECE 2010 | Question: 18
Under what conditions is the following inequality true for $a, b>0$ $ \log _e(a+b) \geq \lambda \log _e(a / \lambda)+(1-\lambda) \log _e(b /(1-\lambda)) $ $\lambda=0.5$ $0<a / \lambda \leq 1, b /(1-\lambda)>0$ $a / \lambda>0,0<b /(1-\lambda) \leq 1$ All of the above None of the above
Under what conditions is the following inequality true for $a, b>0$$$\log _e(a+b) \geq \lambda \log _e(a / \lambda)+(1-\lambda) \log _e(b /(1-\lambda))$$$\lambda=0.5$$0<a...
admin
46.4k
points
94
views
admin
asked
Nov 30, 2022
Quantitative Aptitude
tifr2010
quantitative-aptitude
inequality
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–
1
votes
0
answers
8
TIFR ECE 2010 | Question: 19
Let us define an interval $A(n)$ as a function of $n$ as $A(n)=(-1 / n, 1 / n)$. Then the set of points that lie in the intersection of $A_{n}{ }^{\prime} s, n=1, \ldots, \infty$ is an interval is a single point is an empty set cannot be determined has two disjoint intervals
Let us define an interval $A(n)$ as a function of $n$ as $A(n)=(-1 / n, 1 / n)$. Then the set of points that lie in the intersection of $A_{n}{ }^{\prime} s, n=1, \ldots,...
admin
46.4k
points
101
views
admin
asked
Nov 30, 2022
Quantitative Aptitude
tifr2010
quantitative-aptitude
sets
+
–
1
votes
0
answers
9
TIFR ECE 2021 | Question: 2
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area? Square A regular pentagon A regular hexagon A regular septagon A regular octagon
Given a fixed perimeter of $1,$ among the following shapes, which one has the largest area?SquareA regular pentagonA regular hexagonA regular septagonA regular octagon
admin
46.4k
points
78
views
admin
asked
Nov 30, 2022
Quantitative Aptitude
tifrece2021
quantitative-aptitude
geometry
area
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–
1
votes
0
answers
10
TIFR ECE 2021 | Question: 8
The maximum area of a parallelogram inscribed in the ellipse (i.e. all the vertices of the parallelogram are on the ellipse) $x^{2}+4 y^{2}=1$ is: $2$ $4$ $1$ $5$ $3$
The maximum area of a parallelogram inscribed in the ellipse (i.e. all the vertices of the parallelogram are on the ellipse) $x^{2}+4 y^{2}=1$ is:$2$$4$$1$$5$$3$
admin
46.4k
points
103
views
admin
asked
Nov 30, 2022
Quantitative Aptitude
tifrece2021
quantitative-aptitude
geometry
area
+
–
1
votes
0
answers
11
TIFR ECE 2021 | Question: 12
An ant does a random walk in a two dimensional plane starting at the origin at time $0.$ At every integer time greater than $0,$ it moves one centimeter away from its earlier position in a random direction independent of its past. After $4$ steps, what is the expected square of the distance (measured in centimeters) from its starting point? $4$ $1$ $2$ $\pi$ $0$
An ant does a random walk in a two dimensional plane starting at the origin at time $0.$ At every integer time greater than $0,$ it moves one centimeter away from its ear...
admin
46.4k
points
113
views
admin
asked
Nov 30, 2022
Quantitative Aptitude
tifrece2021
quantitative-aptitude
geometry
+
–
1
votes
0
answers
12
TIFR ECE 2017 | Question: 5
Consider the inequality \[ n-\frac{1}{n} \geq \sqrt{n^{2}-1}, \] where $n$ is an integer $\geq 1$. Which of the following statements is $\text{TRUE?}$ This inequality holds for all integers $n \geq 1$ ... not hold for any integer $n \geq 1$ $n-\frac{1}{n}=\sqrt{n^{2}-1}$ for infinitely many integers $n \geq 1$
Consider the inequality\[n-\frac{1}{n} \geq \sqrt{n^{2}-1},\]where $n$ is an integer $\geq 1$. Which of the following statements is $\text{TRUE?}$This inequality holds fo...
admin
46.4k
points
88
views
admin
asked
Nov 29, 2022
Quantitative Aptitude
tifrece2017
quantitative-aptitude
inequality
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–
1
votes
0
answers
13
GATE ECE 2010 | Question: 60
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neither hockey nor football is: $2$ $17$ $13$ $3$
$25$ persons are in a room. $15$ of them play hockey, $17$ of them play football and $10$ of them play both hockey and football. Then the number of persons playing neithe...
admin
46.4k
points
34
views
admin
asked
Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
venn-diagrams
+
–
1
votes
0
answers
14
GATE ECE 2010 | Question: 62
If $137+276=435$ how much is $731+672?$ $534$ $1403$ $1623$ $1513$
If $137+276=435$ how much is $731+672?$ $534$$1403$$1623$$1513$
admin
46.4k
points
47
views
admin
asked
Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
number-system
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–
1
votes
0
answers
15
GATE ECE 2010 | Question: 63
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team has $2$ skilled, $6$ semi-skilled and $5$ unskilled workers, how long will it take to build the wall? $20$ days $18$ days $16$ days $15$ days
$5$ skilled workers can build a wall in $20$ days: $8$ semi-skilled workers can build a wall in $25$ days: $10$ unskilled workers can build a wall in $30$ days. If a team...
admin
46.4k
points
52
views
admin
asked
Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
work-time
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–
1
votes
0
answers
16
GATE ECE 2010 | Question: 64
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed? $50$ $51$ $52$ $54$
Given digits $2,2,3,3,3,4,4,4,4$ how many distinct $4$ digit numbers greater than $3000$ can be formed?$50$$51$$52$$54$
admin
46.4k
points
44
views
admin
asked
Sep 15, 2022
Quantitative Aptitude
gate2010-ec
quantitative-aptitude
counting
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–
1
votes
0
answers
17
GATE ECE 2011 | Question: 57
There are two candidates $\mathrm{P}$ and $\mathrm{Q}$ in an election. During the campaign, $40 \%$ of the voters promised to vote for $\mathrm{P}$, and rest for $\text{Q}$. However, on the day of election $15 \%$ of the voters went back on their promise ... $\mathrm{P}$ lost by $2$ votes, then what was the total number of voters? $100$ $110$ $90$ $95$
There are two candidates $\mathrm{P}$ and $\mathrm{Q}$ in an election. During the campaign, $40 \%$ of the voters promised to vote for $\mathrm{P}$, and rest for $\text{Q...
admin
46.4k
points
40
views
admin
asked
Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
percentage
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–
1
votes
0
answers
18
GATE ECE 2011 | Question: 62
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below. The distances covered during four laps of the journey are listed in the table below ... the fuel consumed per kilometre was least during the lap $\mathrm{P}$ $\mathrm{Q}$ $\mathrm{R}$ $\mathrm{S}$
The fuel consumed by a motorcycle during a journey while traveling at various speeds is indicated in the graph below.The distances covered during four laps of the journey...
admin
46.4k
points
81
views
admin
asked
Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
speed-time-distance
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–
1
votes
0
answers
19
GATE ECE 2011 | Question: 63
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl. $\text{S}$ took $1 / 4^{\text {th }}$ of what was left but ... two back into the bowl. If the bowl had $17$ toffees left, how many toffees were originally there in the bowl? $38$ $31$ $48$ $41$
Three friends, $\mathrm{R}, \mathrm{S}$ and $\mathrm{T}$ shared toffee from a bowl. $\mathrm{R}$ took $1 / 3^{\text {rd }}$ of the toffees, but returned four to the bowl....
admin
46.4k
points
62
views
admin
asked
Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
number-system
+
–
1
votes
0
answers
20
GATE ECE 2011 | Question: 65
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$ $(4 / 81)\left[10^{n-1}-9 n-1\right]$ $(4 / 81)\left[10^{n+1}-9 n-10\right]$ $(4 / 81)\left[10^{n}-9 n-10\right]$
The sum of $n$ terms of the series $4+44+444+\ldots .$ is $(4 / 81)\left[10^{n+1}-9 n-1\right]$$(4 / 81)\left[10^{n-1}-9 n-1\right]$$(4 / 81)\left[10^{n+1}-9 n-10\right]$...
admin
46.4k
points
190
views
admin
asked
Sep 3, 2022
Quantitative Aptitude
gate2011-ec
quantitative-aptitude
sequence-series
+
–
2
votes
1
answer
21
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 $\text{Q (in ₹)}?$ $500$ $1000$ $1500$ $2000$
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 $\text{S},$...
Arjun
6.6k
points
386
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
ratio-proportions
+
–
1
votes
1
answer
22
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 $\text{SR (in cm)}?$ $1.80$ $2.40$ $4.20$ $5.76$
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 give...
Arjun
6.6k
points
1.7k
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
geometry
+
–
1
votes
1
answer
23
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$ $4 < x < 5$ $x \geq 5$
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...
Arjun
6.6k
points
340
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
inequality
+
–
1
votes
2
answers
24
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? $4$ $4 \sqrt{2}$ $8$ $8 \sqrt{2}$
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 quadrilat...
Arjun
6.6k
points
882
views
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gateece-2022
quantitative-aptitude
cartesian-coordinates
area
+
–
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