Recent questions tagged gate2014-ec-4

4 4 votes
1 answers 1 answer
804
804 views
Which of the following options is the closest in meaning to the word underlined in the sentence below?In a democracy, everybody has the freedom to disagree with the gover...
5 5 votes
2 answers 2 answers
754
754 views
After the discussion, Tom said to me, 'Please revert!'. He expects me to _________.retractget back to himmove in reverseretreat
6 6 votes
5 answers 5 answers
887
887 views
While receiving the award, the scientist said, "I feel vindicated". Which of the following is closest in meaning to the word ‘vindicated’?punishedsubstantiatedappreciated...
9 9 votes
2 answers 2 answers
600
600 views
Let $f(x,y)=x^n y^m=P$. If $x$ is doubled and $y$ is halved, the new value of $f$ is$2^{n-m}P$$2^{m-n}P$$2(n-m)P$$2(m-n)P$
11 11 votes
3 answers 3 answers
699
699 views
In a sequence of $12$ consecutive odd numbers, the sum of the first $5$ numbers is $425$. What is the sum of the last $5$ numbers in the sequence?
9 9 votes
3 answers 3 answers
686
686 views
Find the next term in the sequence: $13M, 17Q, 19S$, ___$21W$$21V$$23W$$23V$
23 23 votes
3 answers 3 answers
1.2k
1.2k views
If $\text{‘KCLFTSB’}$ stands for ‘best of luck’ and $\text{‘SHSWDG’}$ stands for ‘good wishes’, which of the following indicates ‘ace the exam’?$\text{MCHTX}$$\text{MXHTC...
9 9 votes
4 answers 4 answers
1.3k
1.3k views
Industrial consumption of power doubled from $2000$-$2001$ to $2010$-$2011$. Find the annual rate of increase in percent assuming it to be uniform over the years.$5.6$$7....
6 6 votes
3 answers 3 answers
639
639 views
A firm producing air purifiers sold $200$ units in $2012$. The following pie chart presents the share of raw material, labour, energy, plant & machinery, and transportati...
17 17 votes
6 answers 6 answers
1.4k
1.4k views
A five digit number is formed using the digits $1,3,5,7$ and $9$ without repeating any of them. What is the sum of all such possible five digit numbers?$6666660$$6666600$...
0 0 votes
0 0 answers
504
504 views
The series $\Sigma_{n=0}^{\infty} \frac{1}{n!}$ converges to$2 \text{ ln } 2$$\sqrt{2}$$2$$e$
0 0 votes
0 0 answers
443
443 views
The magnitude of the gradient for the function $f(x,y,z) = x^2 +3y^2 +z^3$ at the point $(1,1,1)$ is ___________.
0 0 votes
0 0 answers
487
487 views
Let $X$ be a zero mean unit variance Gaussian random variable. $E[ \mid X \mid ]$ is equal to __________
0 0 votes
0 0 answers
393
393 views
If $a$ and $b$ are constants, the most general solution of the differential equation $$\frac{d^2x}{dt^2}+2 \frac{dx}{dt}+x=0$$ is$ae^{-t}$$ae^{-t} + bte^{-t}$$ae^t+bte^{-...
0 0 votes
0 0 answers
473
473 views
The directional derivative of $f(x,y)= \frac{xy}{\sqrt{2}} (x+y)$ at $(1,1)$ in the direction of the unit vector at an angle of $\frac{\pi}{4}$ with $y$-axis, is given by...
0 0 votes
0 0 answers
477
477 views
The circuit shown in the figure represents avoltage controlled voltage sourcevoltage controlled current sourcecurrent controlled current sourcecurrent controlled voltage ...
0 0 votes
0 0 answers
337
337 views
The magnitude of current (in mA) through the resistor $R_2$ in the figure shown is __________
0 0 votes
0 0 answers
340
340 views
At $T=300 \:K$, the band gap and the intrinsic carrier concentration of GaAs are $1.42$ eV and $10^6 \: cm^{-3}$, respectively. In order to generate electron hole pairs i...
0 0 votes
0 0 answers
525
525 views
In the figure, $\text{ln }(\rho _i)$ is plotted as a function of $1/T$, where $\rho_i$ is the intrinsic resistivity of silicon, $T$ is the temperature, and the plot is al...
0 0 votes
0 0 answers
309
309 views
The cut-off wavelength (in $\mu m$) of light that can be used for intrinsic excitation of a semiconductor material of bandgap $E_g = 1.1 \: eV$ is ______________
0 0 votes
0 0 answers
452
452 views
If the emitter resistance in a common-emitter voltage amplifier is not bypassed, it willreduce both the voltage gain and the input impedancereduce the voltage gain and in...
0 0 votes
0 0 answers
387
387 views
Two silicon diodes, with a forward voltage drop of $0.7 \: V$, are used in the circuit shown in the figure. The range of input voltage $V_i$ for which the output voltage ...
0 0 votes
0 0 answers
545
545 views
The circuit shown representsa bandpass filtera voltage controlled oscillatoran amplitude modulatora monostable multivibrator
0 0 votes
0 0 answers
354
354 views
For a given sample-and-hold circuit, if the value of the hold capacitor is increased, thendroop rate decreases and acquisition time decreasesdroop rate decreases and acqu...
1 1 vote
0 0 answers
586
586 views
In the circuit shown in the figure, if $C=0$, the expression for $Y$ is$Y=A \overline{B} + \overline{A}B$$Y=A+B$$Y=\overline{A} + \overline{B}$$Y=A \: B$
0 0 votes
0 0 answers
561
561 views
The output $(Y)$ of the circuit shown in the figure is$\overline{A} + \overline{B} +C$$A + \overline{B} \cdot \overline{C} + A \cdot \overline{C}$$\overline{A} +B+\overli...
0 0 votes
0 0 answers
399
399 views
A Fourier transform pair is given by $$\left ( \frac{2}{3} \right ) \: u[n+3] \overset{FT}{\Leftrightarrow} \frac{Ae^{-j6 \pi f}}{1- (\frac{2}{3} ) e^{-j2 \pi f}}$$ where...
0 0 votes
0 0 answers
620
620 views
A real-valued signal $x(t)$ limited to the frequency band $\mid f \mid \leq \frac{W}{2}$ is passed through a linear time invariant system whose frequency response is $$H(...
0 0 votes
0 0 answers
441
441 views
The sequence $x[n] = 0.5^n \: u[n]$, where $u[n]$ is the unit step sequence, is convolved with itself to obtain $y[n]$. Then $\Sigma_{n= -\infty}^{+ \infty} y[n]$ is ____...
0 0 votes
0 0 answers
456
456 views
For the second order closed-loop system shown in the figure, the natural frequency (in rad/s) is$16$$4$$2$$1$