Recent questions tagged gate2012-ec

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391
391 views
$A$ and $B$ are friends. They decide to meet between $1:00$pm and $2:00$ pm on a given day. There is a condition that whoever arrives first will not wait for the other fo...
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365
365 views
The data given in the following table summarizes the monthly budget of an average household.$$\begin{array}{|l|c|c|} \hline \textbf{Category} & \textbf{Amount(Rs.)} \\\hl...
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2 2 answers
789
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There are eight bags of rice looking alike, seven of which have equal weight and one is slightly heavier. The weighing balance is of unlimited capacity. Using this balanc...
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483
483 views
Raju has $14$ currency notes in his pocket consisting of only Rs. $20$ notes and Rs. $10$ notes. The total money value of the notes is Rs. $230$. The number of Rs. $10$ n...
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466
466 views
One of the legacies of the Roman legions was discipline. In the legions, military law prevailed and discipline was brutal. Discipline on the battlefield kept units obedie...
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390
390 views
One of the parts $(A, B, C, D)$ in the sentence given below contains an ERROR. Which one of the following is INCORRECT?I requested that he should be given the driving tes...
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419
419 views
Which one of the following options is the closest in meaning to the word given below?LatitudeEligibilityFreedomCoercionMeticulousness
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1 1 answer
579
579 views
Choose the most appropriate word from the options given below to complete the followingsentence:Given the seriousness of the situation that he had to face, his ___ was im...
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1 1 answer
551
551 views
Choose the most appropriate alternative from the options given below to complete the followingsentence:If the tired soldier wanted to lie down, he _______ the mattress ou...
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2 2 answers
686
686 views
If $(1.001)^{1259}=3.52$ and $(1.001)^{2062}=7.85,$ then $(1.001)^{3321}=?$$2.23$$4.33$$11.37$$27.64$
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474
474 views
The transfer function of a compensator is given as$$G_c(s)=\frac{s+a}{s+b}$$The phase of the above lead compensator is maximum at$\sqrt{2}$ rad/s$\sqrt{3}$ rad/s$\sqrt{6}...
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719
719 views
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$.A hole of radius $b$ (b < a) ia now drilled along the len...
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374
374 views
An infinitely long uniform solid wire of radius $a$ carries a uniform dc current of density $\overrightarrow{j}$.The magnetic field at a distance $r$ from the center of t...
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523
523 views
The transfer function of a compensator is given as$$G_c(s)=\frac{s+a}{s+b}$$$G_c(s)$ is a lead compensator if$a=1,b=2$$a=3,b=2$$a=-3,b=-1$$a=3,b=1$
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701
701 views
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
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713
713 views
In the three dimensional view of a silicon n-channel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at ev...
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333
333 views
In the three dimensional view of a silicon n-channel MOS transistor shown below, $\delta=20\:nm$. The transistor is of width $1\: \mu m$. The depletion width formed at ev...
1 1 vote
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546
546 views
The state transition diagram for the logic circuit shown is
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407
407 views
If $V_A-V_B=6\:V$, then $V_C-V_D$ is$-5\:V$$2\:V$$3\:V$$6\:V$
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1 1 answer
512
512 views
Given that$A=\begin{bmatrix} -5 &-3 \\ 2 &0\end{bmatrix}$ and $I=\begin{bmatrix} 1 & 0 \\ 0 &1\end{bmatrix}$, the value of $A^3$ is$15\:A+12\:I$$19\:A+30\:I$$17\:A+15\:I$...
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378
378 views
The maximum value of $f(x)=x^3-9x^2+24x+5$ in the interval $[1,6]$ is$21$$25$$41$$46$
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455
455 views
With $10\:V$ dc connected at port A in the linear nonreciprocal two-port network shown below, the following were observed:$1\: \Omega$ connected at port B draws a current...
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460
460 views
Let $y[n]$ denote the convolution of $h[n]$ and $g[n]$, where $h[n]=(\frac{1}{2})^nu[n]$ and $g[n]$ is a casual sequence. If $y[0]=1$ and $y =\frac{1}{2}$, then $g $ equa...
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426
426 views
The voltage gain $A_v$ of the circuit shown below is$\mid A_v \mid\approx 200$$\mid A_v\mid \approx 100$$ \mid A_v \mid \approx 20$$\mid A_v \mid \approx 10$
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473
473 views
The signal $m(t)$ as shown is applied both to a phase modulator (with $k_p$ as the phase constant) and a frequency modulator (with $k_f$ as the frequency constant) having...
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635
635 views
A binary symmetric channel (BSC) has a transition probability of $\frac{1}{8}$. If the binary transmit symbol $X$ is such that $P(X=0)\:=\:\frac{9}{10}$, then the probabi...
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1 1 answer
595
595 views
A fair coin is tossed till head appears for the first time. The probability that the number of required tosses is odd, is$\frac{1}{3}$$\frac{1}{2}$$\frac{2}{3}$$\frac{3}{...
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550
550 views
The direction of vector $A$ is radially outward from the origin, with $|A|=kr^n$ where $r^2=x^2+y^2+z^2$ and $k$ is a constant. The value of $n$ for which $\triangledown....
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459
459 views
The circuit shown is a low pass filter with $f_{3\:dB}=\frac{1}{(R_1+R_2)C}\: rad/s$high pass filter with $f_{3\:dB}=\frac{1}{R_1C}\: rad/s$low pass filter with $f_{3\:dB...
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360
360 views
In the CMOS circuit shown, electron and hole mobilities are equal, and $M1$ and $M2$ are equally sized. The device $M1$ is in the linear region if$V_{in}\lt 1.875\:V$$1.8...