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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
Numerical Ability
Feb 20
by
Arjun
4.5k
points
182
views
gateec-2021
numerical-ability
geometry
triangles
area
1
vote
1
answer
2
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 _______. $\pi a^{2}-a^{2}$ $\pi a^{2}-\sqrt{2}a^{2}$ $\pi a^{2}-2a^{2}$ $\pi a^{2}-3a^{2}$
jothee
asked
in
Numerical Ability
Feb 13, 2020
by
jothee
1.9k
points
1.4k
views
gate2020-ec
numerical-ability
geometry
circle
area
0
votes
0
answers
3
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
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
4
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
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
49
views
gate2016-ec-3
numerical-ability
geometry
cartesian-coordinates
0
votes
0
answers
5
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
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
26
views
gate2016-ec-2
numerical-ability
geometry
area
0
votes
0
answers
6
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
Numerical Ability
Mar 28, 2018
by
Milicevic3306
15.8k
points
34
views
gate2015-ec-3
numerical-answers
numerical-ability
geometry
0
votes
1
answer
7
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
Numerical Ability
Feb 19, 2018
by
gatecse
1.5k
points
161
views
gate2018-ec
numerical-ability
geometry
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