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Recent questions tagged gate2018-ch

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Mathematics GATE 2018 CH: 54
The deacy ratio for a system having complex conjugate poles as $(-\dfrac{1}{10} + j\dfrac{2}{15})$ and $(-\dfrac{1}{10} - j\dfrac{2}{15})$ is $7\times10^{-1}$ $8\times10^{-2}$ $9\times10^{-3}$ $10\times10^{-4}$

Lakshman Patel RJIT asked in Calculus Feb 20, 2018

by Lakshman Patel RJIT

366 views

1 vote

1 answer

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Mathematics GATE 2018 CH: 6
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is

Lakshman Patel RJIT asked in Calculus Feb 20, 2018

by Lakshman Patel RJIT

534 views

1 vote

1 answer

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Mathematics GATE 2018 CH: 33
If $y = e^{-x^2}$ then the value of $\displaystyle\lim_{x \to \infty} \dfrac{1}{x}\dfrac{\mathrm{d}y}{\mathrm{d}x}$ is _________ .

Lakshman Patel RJIT asked in Calculus Feb 20, 2018

by Lakshman Patel RJIT

725 views

1 vote

2 answers

4

Mathematics GATE 2018 CH: 29
For the matrix $A = \begin{bmatrix}\cos\theta & -\sin\theta \\ \sin\theta & \cos\theta \end{bmatrix}$ if $\textit{det}$ stands for the determinant and $A^T$ is the transpose of $A$ then the value of $\textit{det}(A^TA)$ is __________ .

Lakshman Patel RJIT asked in Linear Algebra Feb 20, 2018

by Lakshman Patel RJIT

468 views

4 votes

1 answer

5

GATE2018 CH: GA-7
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $20$ $48$ $60$ $72$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

2.2k views

7 votes

1 answer

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GATE2018 CH: GA-10
In a detailed study of annual crow births in India, it was found that there was relatively no growth during the period $2002$ to $2004$ and a sudden spike from $2004$ to $2005$. In another unrelated study, it was found that the revenue from ... rate. If cracker sale declines, crow birth will decline. Increased birth rate of crows will cause an increase in the sale of crackers.

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

1.9k views

6 votes

1 answer

7

GATE2018 CH: GA-8
To pass a test, a candidate needs to answer at least $2$ out of $3$ questions correctly. A total of $6,30,000$ candidates appeared for the test. Question $A$ was correctly answered by $3,30,000$ candidates. Question $B$ was answered correctly by $2,50,000$ ... the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

6.1k views

4 votes

2 answers

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GATE2018 CH: GA-6
An automobile travels from city $A$ to city $B$ and returns to city $A$ by the same route. The speed of the vehicle during the onward and return journeys were constant at $60km/h$ and $90 km/h$, respectively. What is the average speed in $km/h$ for the entire journey? $72\hspace{0.2cm} km/h$ $73\hspace{0.2cm} km/h$ $74\hspace{0.2cm} km/h$ $75 \hspace{0.2cm}km/h$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

4.0k views

3 votes

5 answers

9

GATE2018 CH: GA-2
"In spite of being warned repeatedly, he failed to correct his _________ behaviour ." The word that best fills the blank in the above sentence is rational reasonable errant good

Lakshman Patel RJIT asked in Verbal Aptitude Feb 20, 2018

by Lakshman Patel RJIT

1.1k views

0 votes

2 answers

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GATE2018 CH: GA-1
"When she fell down the ________ , she received many _________ but little help." The words that best fill the blanks in the above sentence are stairs, stares stairs, stairs stares, stairs stares, stares

Lakshman Patel RJIT asked in Verbal Aptitude Feb 20, 2018

by Lakshman Patel RJIT

1.1k views

1 vote

2 answers

11

GATE2018 CH: GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

849 views

2 votes

2 answers

12

GATE2018 CH: GA-5
Arrange the following three-dimensional objects in the descending order of their volumes: A cuboid with dimensions $\text{10 cm, 8 cm and 6 cm}$ A cube of side $\text{8 cm}$ A cylinder with base radius $\text{7 cm}$ and height $\text{7 cm}$ A sphere of radius $\text{7 cm}$ ... $\text{ii), i), iv), iii)}$ $\text{iii), ii), i), iv)}$ $\text{iv), iii), ii), i)}$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

2.0k views

4 votes

2 answers

13

GATE2018 CH: GA-3
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

2.1k views

4 votes

2 answers

14

GATE2018 CH: GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$

Lakshman Patel RJIT asked in Quantitative Aptitude Feb 20, 2018

by Lakshman Patel RJIT

789 views

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