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GATE Mechanical 2022 Set 2 | GA Question: 3
If $f\left ( x \right ) = 2 \:\ln \left ( \sqrt{e^{x}} \right )$, what is the area bounded by $f\left ( x \right )$ for the interval $\left [ 0,2 \right ]$ on the $x$ – axis? $\frac{1}{2}$ $1$ $2$ $4$
Arjun
asked
in
Quantitative Aptitude
Feb 15, 2022
by
Arjun
27.5k
points
gateme-2022-set2
quantitative-aptitude
functions
area
1
answer
1
vote
GATE Mechanical 2022 Set 2 | GA Question: 10
Equal sized circular regions are shaded in a square sheet of paper of $1$ cm side length. Two cases, case $\text{M}$ and case $\text{N}$, are considered as shown in the figures below. In the case $\text{M}$ ... of case $\text{M}$ to that of case $\text{N}$? $2 : 3$ $1 : 1$ $3 : 2$ $2 : 1$
Arjun
asked
in
Quantitative Aptitude
Feb 15, 2022
by
Arjun
27.5k
points
gateme-2022-set2
quantitative-aptitude
geometry
circle
squares
area
2
answers
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 8
The ratio of the area of the inscribed circle to the area of the circumscribed circle of an equilateral triangle is ___________ $\frac{1}{8}$ $\frac{1}{6}$ $\frac{1}{4}$ $\frac{1}{2}$
go_editor
asked
in
Quantitative Aptitude
Mar 1, 2021
by
go_editor
5.0k
points
gateme-2021-set2
numerical-ability
geometry
area
1
answer
1
vote
GATE Mechanical 2021 Set 2 | GA Question: 9
Consider a square sheet of side $1$ unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, ... units, equal to _________ $\frac{1}{4}$ $\frac{1}{8}$ $\frac{1}{16}$ $\frac{1}{32}$
go_editor
asked
in
Spatial Aptitude
Mar 1, 2021
by
go_editor
5.0k
points
gateme-2021-set2
spatial-aptitude
paper-folding
area
1
answer
1
vote
GATE Mechanical 2021 Set 1 | GA Question: 3
In the above figure, $\textsf{O}$ is the center of the circle and, $\textsf{M}$ and $\textsf{N}$ lie on the circle. The area of the right triangle $\textsf{MON}$ is $50\;\text{cm}^{2}$. What is the area of the circle in $\text{cm}^{2}?$ $2\pi$ $50\pi$ $75\pi$ $100\pi$
gatecse
asked
in
Quantitative Aptitude
Feb 22, 2021
by
gatecse
1.6k
points
gateme-2021-set1
numerical-ability
geometry
triangles
circle
area
0
answers
0
votes
GATE Mechanical 2018 Set 1 | GA Question: 4
A rectangle becomes a square when its length and breadth are reduced by $10$ m and $5$ m, respectively. During this process, the rectangle loses $650 m^2$ of area. What is the area of the original rectangle in square meters? $1125$ $2250$ $2924$ $4500$
Arjun
asked
in
Quantitative Aptitude
Feb 17, 2018
by
Arjun
27.5k
points
gateme-2018-set1
numerical-ability
geometry
area
0
answers
0
votes
GATE Mechanical 2017 Set 1 | GA Question: 8
Let $S_{1}$ be the plane figure consisting of the points $(x, y)$ given by the inequalities $\mid x - 1 \mid \leq 2$ and $ \mid y+2 \mid \leq 3$. Let $S_{2}$ be the plane figure given by the inequalities $x-y \geq -2, y \geq 1$, and $x \leq 3$. Let $S$ be the union of $S_{1}$ and $S_{2}$. The area of $S$ is. $26$ $28$ $32$ $34$
Arjun
asked
in
Quantitative Aptitude
Feb 27, 2017
by
Arjun
27.5k
points
gateme-2017-set1
numerical-ability
geometry
area
0
answers
0
votes
GATE Mechanical 2016 Set 3 | 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 side of the square (in $mm$) such that the combined area of the square and the rectangle is a $\textbf{MINIMUM}$? $30$ $40$ $120$ $180$
Arjun
asked
in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set3
numerical-ability
geometry
area
0
answers
0
votes
GATE Mechanical 2016 Set 2 | GA Question: 5
A window is made up of a square portion and an equilateral triangle portion above it. The base of the triangular portion coincides with the upper side of the square. If the perimeter of the window is $6$ $m$, the area of the window in $m^2$ is ___________. $1.43$ $2.06$ $2.68$ $2.88$
Arjun
asked
in
Quantitative Aptitude
Feb 24, 2017
by
Arjun
27.5k
points
gateme-2016-set2
numerical-ability
geometry
triangles
area
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