Recent questions tagged gate2016-ec-2

9 9 votes
3 answers 3 answers
592
592 views
Based on the given statements, select the appropriate option with respect to grammar and usage.StatementsThe height of Mr. $X$ is $6$ feet. The height of Mr. $Y$ is $5...
5 5 votes
1 answers 1 answer
483
483 views
The students ___________ the teacher on the teachers’ day for twenty years of dedicated teaching.facilitatedfelicitatedfantasizedfacillitated
8 8 votes
1 answers 1 answer
420
420 views
After India’s cricket world cup victory in $1985$, Shrotria who was playing both tennis and cricket till then, decided to concentrate only on cricket. And the $\underline...
11 11 votes
2 answers 2 answers
694
694 views
Given ($9$ inches)$^{1/2}=(0.25$ yards)$^{1/2}$, which one of the following statements is $TRUE$?$3$ inches $= 0.5$ yards$9$ inches $= 1.5$ yards$9$ inches $= 0.25$ yards...
16 16 votes
7 answers 7 answers
1.0k
1.0k views
$S$, $M$, $E$ and $F$ are working in the shifts in a team to finish a project. $M$ works with twice the efficiency of others but for half as many days as $E$ worked. $S$ ...
8 8 votes
3 answers 3 answers
625
625 views
The Venn diagram shows the preference of the students population for leisure activities. From the data given, the number of stud...
2 2 votes
1 answers 1 answer
538
538 views
Social science disciplines were existence in an amorphous form until the colonial period when they were institutionalized. In varying degrees, they were intended to furth...
16 16 votes
2 answers 2 answers
819
819 views
Two and a quarter hours back, when seen in a mirror, the reflection of a wall clock without umber markings seemed to show $1.30$. What is the actual current time shown by...
28 28 votes
1 answers 1 answer
859
859 views
$M$ and $N$ start from the same location. $M$ travels $10$ km east ad then $10$ km North-East. $N$ travels $5$ km South and then $4$ km South-East. What is the shortest d...
13 13 votes
1 answers 1 answer
624
624 views
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 $1:2$. ...
0 0 votes
0 0 answers
505
505 views
The value of $x$ for which the matrix $A= \begin{bmatrix} 3& 2 &4 \\ 9& 7 & 13\\ -6&-4 &-9+x \end{bmatrix}$ has zero as an eigenvalue is ________
0 0 votes
0 0 answers
356
356 views
Consider the complex valued function $f(z)=2z^{3}+b\mid z \mid^{3}$ where $z$ is a complex variable. The value of $b$ for which function $f(z)$ is analytic is _________
0 0 votes
1 1 answer
554
554 views
As $x$ varies from $-1$ to $+3$, which one of the following describes the behaviour of the function $f(x)=x^{3}-3x^{2}+1?$$f(x)$ increases monotonically.$f(x)$ increases,...
0 0 votes
0 0 answers
483
483 views
How many distinct value of $x$ satisfy the equation $\sin(x)=x/2$, where $x$ is in radians?$1$$2$$3$$4$ or more
0 0 votes
0 0 answers
652
652 views
Consider the time-varying vector $\textbf{I}=\hat{x}15\cos(\omega t)+\hat{y}5\sin(\omega t)$ in Cartesian coordinates, where $\omega 0$ is a constant. When the vector mag...
0 0 votes
0 0 answers
585
585 views
In the circuit shown below, $V_{s}$ is a constant voltage source and $I_{L}$ is a constant current load. The value of $I_...
0 0 votes
0 0 answers
420
420 views
The switch has been in position $1$ for a long time and abruptly changes to position $2$ at $t = 0$. If time $t$ is in seconds, the...
0 0 votes
0 0 answers
608
608 views
The figure shown an $RLC$ circuit with a sinusoidal current source. At resonance, the ratio $\mid I_{L} \mid / \mid I_{R} \mid$, i...
1 1 vote
0 0 answers
493
493 views
The $z$-parameter matrix for the two-port network shown is $$\begin{bmatrix} 2j\omega &j\omega \\ j\omega & 3+2j\omega \end{bmatrix},$$ where the entries are in $\Omega$...
0 0 votes
0 0 answers
518
518 views
The energy of the signal $x(t)= \frac{\sin(4\pi t)}{4\pi t}$ is ________
0 0 votes
0 0 answers
383
383 views
The Ebers-Moll model of a $BJT$ is valid only in active modeonly in active and saturation modesonly in active and cut-off modesin active, saturation and cut-off modes
0 0 votes
0 0 answers
425
425 views
A long-channel $NMOS$ transistor is biased in the linear region with $V_{DS}=50$ $m$ $V$ and is used as a resistance. Which one of the following statement is $NOT$ correc...
0 0 votes
0 0 answers
323
323 views
Assume that the diode in the figure has $V_{on}=0.7 \:V$, but it otherwise ideal. The magnitude of the current $i_{2}...
0 0 votes
0 0 answers
712
712 views
Resistor $R_{1}$ in the circuit below has been adjusted so that $I_{1}=1$ $mA$. The bipolar transistors $Q1$ and $Q2$ are perfectly matched and have very high current gai...
0 0 votes
0 0 answers
590
590 views
Which one of the following statements is correct about an ac-coupled common-emitter amplifier operating in the mid-band region?The device parasitic capacitances behave li...
0 0 votes
0 0 answers
484
484 views
Transistor geometries in a $CMOS$ inverter have been adjusted to meet the requirement for worst case charge and discharge times for driving a load capacitor $C$. This des...
0 0 votes
0 0 answers
1.2k
1.2k views
Assume that all the digital gates in the circuit shown in the figure are ideal, the resistor $R=10\Omega$ and the supply voltage is $5\:V$. The $D$ flip-flops $D_{1} \:, ...
0 0 votes
0 0 answers
693
693 views
A $4:1$ multiplexer is to be used for generating the output carry of a full adder. $A$ and $B$ are the bits to be added while $C_{in}$ is the input carry and $C_{out}$ is...
0 0 votes
0 0 answers
364
364 views
The response of the system $G(s)=\frac{s-2}{(s+1)(s+3)}$ to the unit step input $u(t)$ is $y(t)$. The value of $\frac{dy}{dt}$ at $t=0^{+}$ is _________
1 1 vote
0 0 answers
517
517 views
The number and direction of encirclements around the point $-1+j0$ in the complex plane by the Nyquist plot of $G(s)=\frac{1-s}{4+2s}$ iszero.one,anti-clockwise.one, cloc...