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Recent questions tagged gate2018-ch

1 vote
0 answers
1
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 $7\times10^{-1}$ $8\times10^{-2}$ $9\times10^{-3}$ $10\times10^{-4}$
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 $7\times10^{-1}$ $8\times10^{-2}$ $9\times10^{-3}$ $10\times10^{-4}$
asked Feb 20, 2018 in Calculus Lakshman Patel RJIT 227 views
1 vote
1 answer
2
Mathematics GATE 2018 CH: 6
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is
The figure which represents $y = \dfrac{sin x}{x}$ for $x>0$ ($x$ in radians) is
asked Feb 20, 2018 in Calculus Lakshman Patel RJIT 337 views
1 vote
1 answer
3
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 _________ .
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 _________ .
asked Feb 20, 2018 in Calculus Lakshman Patel RJIT 486 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 __________ .
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 __________ .
asked Feb 20, 2018 in Linear Algebra Lakshman Patel RJIT 303 views
3 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? $20$ $48$ $60$ $72$
A set of $4$ parallel lines intersect with another set of $5$ parallel lines. How many parallelograms are formed? $20$ $48$ $60$ $72$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 1k views
3 votes
1 answer
6
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.
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 cracker sales ... birth rate. If cracker sale declines, crow birth will decline. Increased birth rate of crows will cause an increase in the sale of crackers.
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 1.1k views
2 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? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
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 $2,50,000$ candidates. Question ... as the number answering none, how many candidates failed to clear the test? $30,000$ $2,70,000$ $3,90,000$ $4,20,000$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 3.3k views
4 votes
2 answers
8
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? $72\hspace{0.2cm} km/h$ $73\hspace{0.2cm} km/h$ $74\hspace{0.2cm} km/h$ $75 \hspace{0.2cm}km/h$
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? $72\hspace{0.2cm} km/h$ $73\hspace{0.2cm} km/h$ $74\hspace{0.2cm} km/h$ $75 \hspace{0.2cm}km/h$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 1.8k views
2 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
"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
asked Feb 20, 2018 in Verbal Aptitude Lakshman Patel RJIT 618 views
0 votes
3 answers
10
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
"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
asked Feb 20, 2018 in Verbal Aptitude Lakshman Patel RJIT 622 views
0 votes
2 answers
11
GATE2018 CH: GA-4
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
The area of an equilateral triangle is $\sqrt{3}$. What is the perimeter of the triangle$?$ $2$ $4$ $6$ $8$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 495 views
1 vote
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 $\text{7 cm}$ ... $\text{ii), i), iv), iii)}$ $\text{iii), ii), i), iv)}$ $\text{iv), iii), ii), i)}$
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 $\text{7 cm}$ $\text{i), ii), iii), iv)}$ $\text{ii), i), iv), iii)}$ $\text{iii), ii), i), iv)}$ $\text{iv), iii), ii), i)}$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 915 views
3 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 _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$
For $0\leq{x}\leq{2\pi}$, $\sin x \text{ and } \cos x$ are both decreasing functions in the interval _________ . $\left(0,\dfrac{\pi}{2}\right)$ $\left(\dfrac{\pi}{2},\pi\right)$ $\left(\pi,\dfrac{3\pi}{2}\right)$ $\left(\dfrac{3\pi}{2},2\pi\right)$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 1.2k views
1 vote
2 answers
14
GATE2018 CH: GA-9
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
If $x^{2}+ x - 1 = 0$ what is the value of $x^4 + \dfrac{1}{x^4}$? $1$ $5$ $7$ $9$
asked Feb 20, 2018 in Quantitative Aptitude Lakshman Patel RJIT 494 views
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