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Recent questions tagged geometry
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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} $ $400$ $400 \times \sqrt{2}$ $200 \times \sqrt{3}$ $500$
admin
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in
Others
Dec 14, 2022
by
admin
43.6k
points
15
views
tifr2014
quantitative-aptitude
geometry
1
vote
0
answers
2
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
admin
asked
in
Quantitative Aptitude
Nov 30, 2022
by
admin
43.6k
points
14
views
tifrece2021
quantitative-aptitude
geometry
area
1
vote
0
answers
3
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: $2$ $4$ $1$ $5$ $3$
admin
asked
in
Quantitative Aptitude
Nov 30, 2022
by
admin
43.6k
points
13
views
tifrece2021
quantitative-aptitude
geometry
area
1
vote
0
answers
4
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? $4$ $1$ $2$ $\pi$ $0$
admin
asked
in
Quantitative Aptitude
Nov 30, 2022
by
admin
43.6k
points
12
views
tifrece2021
quantitative-aptitude
geometry
1
vote
1
answer
5
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, 2022
by
Arjun
6.0k
points
818
views
gateece-2022
quantitative-aptitude
geometry
1
vote
1
answer
6
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
412
views
gateec-2021
numerical-ability
geometry
triangles
area
1
vote
1
answer
7
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
2.1k
views
gate2020-ec
numerical-ability
geometry
circle
area
0
votes
0
answers
8
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
67
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
9
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
75
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
10
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
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
47
views
gate2016-ec-2
numerical-ability
geometry
area
0
votes
0
answers
11
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 ________.
Milicevic3306
asked
in
Quantitative Aptitude
Mar 28, 2018
by
Milicevic3306
15.8k
points
54
views
gate2015-ec-3
numerical-answers
numerical-ability
geometry
0
votes
1
answer
12
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
198
views
gate2018-ec
numerical-ability
geometry
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