Recent questions tagged geometry

Recent questions tagged geometry

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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

by Arjun

5.9k points

141 views

1 vote

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2

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

5.9k points

357 views

1 vote

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3

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

1.9k points

1.9k views

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4

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

61 views

0 votes

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5

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

60 views

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0 answers

6

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

34 views

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7

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

46 views

0 votes

1 answer

8

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

1.5k points

179 views

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