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Recent questions tagged geometry
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GATE Civil 2023 Set 1 | GA Question: 3
In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes through $\mathrm{P}.$ What is the area $ \text{( in cm}^{2})$ of the shaded region? (The diagram is representative) $\frac{25 \pi}{3}$ $\frac{20 \pi}{3}$ $6 \pi$ $7\pi$
In the given figure, $\text{PQRSTV}$ is a regular hexagon with each side of length $5\mathrm{~cm}.$ A circle is drawn with its centre at $ \mathrm{V}$ such that it passes...
admin
4.2k
points
admin
asked
May 21, 2023
Quantitative Aptitude
gatecivil-2023-set1
quantitative-aptitude
geometry
area
+
–
1
votes
0
answers
2
GATE Civil 2023 Set 1 | GA Question: 10
A square of side length $4 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius $2 \mathrm{~cm}$, as shown. The area of the shaded region is__________$\text{cm}^{2}.$ $8$ $4$ $12$ $10$
A square of side length $4 \mathrm{~cm}$ is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of...
admin
4.2k
points
admin
asked
May 21, 2023
Quantitative Aptitude
gatecivil-2023-set1
quantitative-aptitude
geometry
circle
+
–
1
votes
1
answer
3
GATE Civil 2022 Set 2 | GA Question: 8
Consider the following equations of straight lines: $\text{Line L1}: 2x - 3y = 5$ $\text{Line L2}: 3x + 2y = 8$ $\text{Line L3}: 4x - 6y = 5$ $\text{Line L4}: 6x - 9y = 6$ Which one among the following is the correct statement? $\text{L1}$ ... $\text{L2}$ $\text{L4}$ is perpendicular to $\text{L2}$ and $\text{L4}$ is parallel to $\text{L3}$
Consider the following equations of straight lines:$\text{Line L1}: 2x – 3y = 5$$\text{Line L2}: 3x + 2y = 8$$\text{Line L3}: 4x – 6y = 5$$\text{Line L4}: 6x – 9y =...
Arjun
13.0k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gatecivil-2022-set2
quantitative-aptitude
geometry
straight-lines
+
–
1
votes
1
answer
4
GATE Civil 2022 Set 1 | GA Question: 5
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the areas of the squares, $\text{PXWR, RUVZ}$ and $\text{SPQT}$ is Area of $\text{SPQT}$ ... $\text{RUVZ}$ Area of $\text{PXWR}$ = Area of $\text{RUVZ}$ - Area of $\text{SPQT}$
In the following diagram, the point $\text{R}$ is the center of the circle. The lines $\text{PQ}$ and $\text{ZV}$ are tangential to the circle. The relation among the are...
Arjun
13.0k
points
Arjun
asked
Feb 15, 2022
Quantitative Aptitude
gatecivil-2022-set1
quantitative-aptitude
geometry
squares
area
+
–
1
votes
1
answer
5
GATE Civil 2021 Set 2 | GA Question: 9
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at $S$ and $Q$. The probability that any point picked randomly within the square falls in the ... ____________ $4-\frac{\pi }{2}$ $\frac{1}{2}$ $\frac{\pi }{2}-1$ $\frac{\pi }{4}$
In the figure shown above, $\text{PQRS}$ is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square a...
go_editor
5.3k
points
go_editor
asked
Mar 1, 2021
Quantitative Aptitude
gatecivil-2021-set2
numerical-ability
geometry
circle
+
–
1
votes
1
answer
6
GATE Civil 2021 Set 2 | GA Question: 10
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divided into eight equals parts. The length of each subdivided part in $\text{cm}$ is an integer. ... triangle $\text{PQR}$ possible, in $\text{cm}^{2}$, is $18$ $24$ $48\sqrt{3}$ $144 \sqrt{3}$
In an equilateral triangle $\text{PQR}$, side $\text{PQ}$ is divided into four equal parts, side $\text{QR}$ is divided into six equal parts and side $\text{PR}$ is divid...
go_editor
5.3k
points
go_editor
asked
Mar 1, 2021
Quantitative Aptitude
gatecivil-2021-set2
numerical-ability
geometry
triangles
+
–
1
votes
1
answer
7
GATE Civil 2021 Set 1 | GA Question: 8
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above. The value of $\theta$, in degrees, is _______________ $36$ $45$ $72$ $108$
Five line segments of equal lengths, $\text{PR, PS, QS, QT}$ and $\text{RT}$ are used to form a star as shown in the figure above.The value of $\theta$, in degrees, is __...
Arjun
13.0k
points
Arjun
asked
Feb 19, 2021
Quantitative Aptitude
gatecivil-2021-set1
numerical-ability
geometry
+
–
0
votes
0
answers
8
GATE Civil 2019 Set 1 | GA Question: 3
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ladder is resting at a point located at one-fifth of the height of the pole from the bottom, the height of the pole is ______ meters. $15$ $25$ $30$ $35$
On a horizontal ground, the base of a straight ladder is $6$ m away from the base of a vertical pole. The ladder makes an angle of $45^{\circ}$ to the horizontal. If the ...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Quantitative Aptitude
gate2019-ce-1
numerical-ability
geometry
height-distance
+
–
0
votes
0
answers
9
GATE Civil 2019 Set 1 | GA Question: 9
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger square is _______ cm. $18.50$ $15.10$ $10.00$ $8.50$
A square has side $5$ cm smaller than the sides of a second square. The area of the larger square is four times the area of the smaller square. The side of the larger squ...
Arjun
13.0k
points
Arjun
asked
Feb 14, 2019
Quantitative Aptitude
gate2019-ce-1
numerical-ability
geometry
square
+
–
0
votes
0
answers
10
GATE Civil 2019 Set 2 | GA Question: 3
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the cost carpet is Rs.$50$ sq. mts. how much money (in Rs.) will be spent by Suresh for the carpet now? $Rs.1,65,000$ $Rs.1,92,500$ $Rs.2,75,000$ $Rs.1,27,500$
Suresh wanted to lay a new carpet in his new mansion with an area of $70\times 55$ sq.mts. However an area of $550$ sq. mts. had to be left out for flower pots. If the co...
Arjun
13.0k
points
Arjun
asked
Feb 12, 2019
Quantitative Aptitude
gate2019-ce-2
numerical-ability
geometry
+
–
0
votes
0
answers
11
GATE Civil 2016 Set 2 | GA Question: 9
A square pyramid has a base perimeter $x$, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid? $x^{2}$ $0.75 \: x^{2}$ $0.50 \: x^{2}$ $0.25 \: x^{2}$
A square pyramid has a base perimeter $x$, and the slant height is half of the perimeter. What is the lateral surface area of the pyramid?$x^{2}$$0.75 \: x^{2}$$0.50 \: x...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ce-2
numerical-ability
geometry
surface-area
+
–
0
votes
0
answers
12
GATE Civil 2016 Set 1 | GA Question: 5
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the body (in square units) after the removal is _________ $56$ $64$ $72$ $96$
A cube is built using $64$ cubic blocks of side one unit. After it is built, one cubic block is removed from every corner of the cube. The resulting surface area of the b...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 27, 2018
Quantitative Aptitude
gate2016-ce-1
numerical-ability
geometry
+
–
0
votes
0
answers
13
GATE Civil 2014 Set 1 | GA Question: 8
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The largest angle of the triangle is twice its smallest angle. What is the sum, in degree, of the second largest angle of the triangle and the largest angle of the quadrilateral?
The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is $3:4:5:6.$ The larg...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2014-ce-1
numerical-answers
numerical-ability
geometry
triangles
+
–
1
votes
0
answers
14
GATE Civil 2014 Set 1 | GA Question: 4
If $y=5x^{2}+3,$then the tangent at $x=0,y=3$ passes through $x=0,y=0$ has a slope of $+1$ is parallel to the $x$-axis has a slope of $-1$
If $y=5x^{2}+3,$then the tangent at $x=0,y=3$passes through $x=0,y=0$has a slope of $+1$is parallel to the $x$-axishas a slope of $-1$
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2014-ce-1
numerical-ability
geometry
cartesian-coordinates
+
–
0
votes
0
answers
15
GATE Civil 2012 | Question: 61
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x-0.1x^{2}$ where $y$ is the height of the arch in meters. The maximum possible height of the arch is $8$ meters $10$ meters $12$ meters $14$ meters
A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation $y=2x-0.1x^{2}...
Milicevic3306
11.9k
points
Milicevic3306
asked
Mar 25, 2018
Quantitative Aptitude
gate2012-ce
numerical-ability
geometry
height-distance
+
–
0
votes
0
answers
16
GATE Civil 2018 Set 1 | GA Question: 4
Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects the top of tower A to the bottom tower B, at what distance (in meters) from tower A will the rope intersect the skywalk? $22.22$ $50$ $57.87$ $77.78$
Tower A is $90$ m tall and tower B is $140$ m tall. They are 100 m apart. A horizontal skywalk connects the floors at $70$ m in both the towers. If a taut rope connects t...
gatecse
4.0k
points
gatecse
asked
Feb 17, 2018
Quantitative Aptitude
gate2018-ce-1
numerical-ability
geometry
height-distance
+
–
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