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Recent questions tagged gate2014ec2
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GATE20142GA1
Choose the most appropriate word from the options given below to complete the following sentence. Communication and interpersonal skills are__________ important in their own ways. each both all either
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2014ec2
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2
GATE20142GA2
Which of the options given below best completes the following sentence? She will feel much better if she ________________. will get some rest gets some rest will be getting some rest is getting some rest
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2014ec2
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3
GATE20142GA3
Choose the most appropriate pair of words from the options given below to complete the following sentence. She could not _________ the thought of _________ the election to her bitter rival. bear, loosing bare, loosing bear, losing bare, losing
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Mar 26, 2018
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Verbal Ability
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Milicevic3306
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gate2014ec2
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4
GATE20142GA4
A regular die has six sides with numbers $1$ to $6$ marked on its sides. If a very large number of throws show the following frequencies of occurrence: $1 \rightarrow 0.167$; $2 \rightarrow 0.167$; $3 \rightarrow 0.152$; $4 \rightarrow 0.166$; $5 \rightarrow 0.168$; $6 \rightarrow 0.180$. We call this die irregular biased Gaussian insufficient
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
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5
GATE20142GA5
Fill in the missing number in the series. $2$ $3$ $6$ $15$ __________ $157.5$ $630$
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Mar 26, 2018
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Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
numericalanswers
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6
GATE20142GA6
Find the odd one in the following group Q,W,Z,B B,H,K,M W,C,G,J M,S,V,X Q,W,Z,B B,H,K,M W,C,G,J M,S,V,X
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
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7
GATE20142GA7
Lights of four colors (red, blue, green, yellow) are hung on a ladder. On every step of the ladder, there are two lights. If one of the lights is red, the other light on that step will always be blue. If one of the lights on a step is green, the ... equal to the sum of the yellow and blue lights The sum of the red and blue lights is equal to the sum of the green and yellow lights
asked
Mar 26, 2018
in
Verbal Ability
by
Milicevic3306
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15.7k
points)
gate2014ec2
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8
GATE20142GA8
The sum of eight consecutive odd numbers is $656$. The average of four consecutive even numbers is $87$. What is the sum of the smallest odd number and second largest even number?
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
numericalanswers
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9
GATE20142GA9
The total exports and revenues from the exports of a country are given in the two charts shown below. The pie chart for exports shows the quantity of each item exported as a percentage of the total quantity of exports. The pie chart for the revenues shows the percentage ... Which item among the following has generated the maximum revenue per $kg$? Item $2$ Item $3$ Item $6$ Item $5$
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
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10
GATE20142GA10
It takes $30$ minutes to empty a halffull tank by draining it at a constant rate. It is decided to simultaneously pump water into the halffull tank while draining it. What is the rate at which water has to be pumped in so that it gets fully filled in $10$ minutes? $4$ times the draining rate $3$ times the draining rate $2.5$ times the draining rate $2$ times the draining rate
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Mar 26, 2018
in
Numerical Ability
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Milicevic3306
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15.7k
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gate2014ec2
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11
GATE201421
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
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Mar 26, 2018
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Others
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gate2014ec2
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12
GATE201422
Let $X$ be a random variable which is uniformly chosen from the set of positive odd numbers less than $100$. The expectation, $E[X]$, is ________.
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Mar 26, 2018
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13
GATE201423
For $0 \leq t < \infty ,$ the maximum value of the function $f(t)= e^{t}2e^{2t}$ occurs at $t= log_{e}4$ $t= log_{e}2$ $t= 0$ $t= log_{e}8$
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Mar 26, 2018
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gate2014ec2
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14
GATE201424
The value of $\lim_{x\rightarrow \infty }(1 +\tfrac{1}{x})^{x}$ is $\text{ln }2$ $1.0$ $e$ $\infty$
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Mar 26, 2018
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15
GATE201425
If the characteristic equation of the differential equation $\frac{\mathrm{d}^2 y}{\mathrm{dx}^2}+2\alpha \frac{\mathrm{d}y}{\mathrm{d} x}+y= 0$ has two equal roots, then the value of $\alpha$ are $\pm 1$ $0,0$ $\pm j$ $\pm 1/2$
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Mar 26, 2018
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gate2014ec2
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16
GATE201426
Norton’s theorem states that a complex network connected to a load can be replaced with an equivalent impedance in series with a current source in parallel with a voltage source in series with a voltage source in parallel with a current source
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Mar 26, 2018
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17
GATE201427
In the figure shown, the ideal switch has been open for a long time. If it is closed at t = 0, then the magnitude of the current (in mA) through the $4k \Omega$ resistor at $t= 0^{+}$ is ________.
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Mar 26, 2018
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gate2014ec2
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18
GATE201428
A silicon bar is doped with donor impurities $N_{D}= 2.25 \times 10^{15} \text{atoms} / cm^{3}$. Given the intrinsic carrier concentration of silicon at $T = 300 \: K$ is $n_{i}= 1.5 \times 10^{10} cm^{3}.$ Assuming complete impurity ionization, the equilibrium electron and hole ... $n_{0}=2.25\times 10^{15}cm^{3}, \: p_{0}= 1\times 10^{5}cm^{3}$
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Mar 26, 2018
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gate2014ec2
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19
GATE201429
An increase in the base recombination of a BJT will increase the common emitter dc current gain $\beta$ the breakdown voltage $BV_{CEO}$ the unitygain cutoff frequency $f_{T}$ the transconductance $g_{m}$
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Mar 26, 2018
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gate2014ec2
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20
GATE2014210
In CMOS technology, shallow Pwell or Nwell regions can be formed using low pressure chemical vapour deposition low energy sputtering low temperature dry oxidation low energy ionimplantation
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Mar 26, 2018
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gate2014ec2
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21
GATE2014211
The feedback topology in the amplifier circuit ( the base bias circuit is not shown for simplicity) in the figure is voltage shunt feedback current series feedback current shunt feedback voltage series feedback
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Mar 26, 2018
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gate2014ec2
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22
GATE2014212
In the differential amplifier shown in the figure, the magnitude of the commonmode and differentialmode gains are $A_{CM}$ and $A_{d},$ respectively. If the resistance $R_{E}$ is increased, then $A_{cm}$ increases commonmode rejection ratio increases $A_{d}$ increases commonmode rejection ratio decreases
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Mar 26, 2018
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gate2014ec2
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23
GATE2014213
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The openloop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ for A1 and A2 are as follows: $A1: A_{V0} = 10, R_{in} = 10k \Omega, R_{o} = 1k\Omega$ $A2: A_{V0} = 5, R_{in} = 5k \Omega, R_{o} =200\Omega$ The approximate overall voltage gain $V_{out}/V_{in}$ is __________.
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Mar 26, 2018
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gate2014ec2
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24
GATE2014214
For an $n$variable Boolean function, the maximum number of prime implicants is $2(n1)$ $n/2$ $2^{n}$ $2^{n1}$
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Mar 26, 2018
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gate2014ec2
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25
GATE2014215
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec2
numericalanswers
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26
GATE2014216
In a halfsubtractor circuit with $X$ and $Y$ as inputs, the Borrow $(M)$ and Difference $(N = X – Y)$ are given by $M = X \oplus Y, \: \: \: N = XY$ $M = XY, \: \: \:N = X \oplus Y$ $M = \overline{ X}Y, \: \: \: N =X \oplus Y$ $M = X \overline{ Y}, \: \: \: N = \overline{X \oplus Y}$
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Mar 26, 2018
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15.7k
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gate2014ec2
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27
GATE2014217
As FIR system is described by the system function $ H(z) = 1 + \frac{7}{2} z^{1} + \frac{3}{2}z^{2}$. The system is maximum phase minimum phase mixed phase zero phase
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Mar 26, 2018
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gate2014ec2
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28
GATE2014218
Let $x[n] = x[n]$. Let $X(z)$ be the $z$transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
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Mar 26, 2018
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Milicevic3306
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15.7k
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gate2014ec2
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29
GATE2014219
Consider the periodic square wave in the figure shown. The ratio of the power in the $7^{th}$ harmonic to the power in the $5^{th}$ harmonic for this waveform is closest in value to ________.
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Mar 26, 2018
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15.7k
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gate2014ec2
numericalanswers
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30
GATE2014220
The natural frequency of an undamped secondorder system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
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Mar 26, 2018
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gate2014ec2
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31
GATE2014221
Q.21 For the following system, when $X_{1}$ (s) = 0, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is (A)$\frac{s+1}{s^{2}}$ (B)$\frac{1}{s+1}$ (C)$\frac{s+2}{s(s+1)}$ (D)$\frac{s+1}{s(s+2)}$
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Mar 26, 2018
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15.7k
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gate2014ec2
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32
GATE2014222
Q.22 The capacity of a bandlimited additive white Gaussian noise (AWGN) channel is given by C = W $log_{2}\left ( 1+\frac{p}{\sigma ^{2}w} \right )$ bits per second (bps), where W is the channel bandwidth, P is the average power received and $\sigma ^{2}$ is ... capacity (in kbps) with infinite bandwidth $(W\rightarrow \infty )$ is approximately (A) 1.44 (B) 1.08 (C) 0.72 (D) 0.36
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Mar 26, 2018
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gate2014ec2
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33
GATE2014223
Q.23 Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, are 3 V and 1 V, is ___________.
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Mar 26, 2018
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gate2014ec2
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34
GATE2014224
Q.24 To maximum power transfer, a lossless transmission line is to be matched to a resistive load impedance via a $\lambda$/4 transformer as shown. The characteristic impedance (in $\Omega$) of the $\lambda$/4 transformer is ___________.
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Mar 26, 2018
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35
GATE2014225
Q.25 Which one of the following field patterns represents a TEM wave travelling in the position x direction? (A) $E= +8\hat{y,} H = 4\hat{z}$ (B) $E= 2\hat{y,} H = 3\hat{z}$ (C) $E= +2\hat{y,} H = +2\hat{z}$ (D) $E= 3\hat{y,} H = +4\hat{z}$
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Mar 26, 2018
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gate2014ec2
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36
GATE2014226
Q.26 The system of linear equations $\begin{pmatrix} 2 & 1 & 3\\ 3&0 &1 \\ 1& 2 &5 \end{pmatrix}$\begin{pmatrix} a\\ b\\ c \end{pmatrix}$= \begin{pmatrix} 5\\ 4\\ 14 \end{pmatrix}$ has (A) a unique solution (B) infinitely many solutions (C) no solution (D) exactly two solutions
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Mar 26, 2018
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gate2014ec2
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37
GATE2014227
Q.27 The real part of an analytic function f(z) where z $=$ x + jy is given by $e^{y}$cos(x). The imaginary part of f(z) is (A) $e^{y}cos\left( x \right )$ (B) $e^{y}sin\left( x \right )$ (C)$e^{y}sin\left( x \right )$ (D) $e^{y}sin\left( x \right )$
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gate2014ec2
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38
GATE2014232
Q.32 In the figure shown, the capacitor is initially uncharged. Which one of the following expressions describes the current I(t) (in mA) for t $>$ 0? (A) $I(t)= \frac{5}{3}(1e^{t/r}), r= \frac{2}{3}msec$ (B) $I(t)= \frac{5}{2}(1e^{t/r}), r= \frac{2}{3}msec$ (C) $I(t)= \frac{5}{3}(1e^{t/r}), r= 3$ msec (D) $I(t)= \frac{5}{2}(1e^{t/r}), r= 3$ msec
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Mar 26, 2018
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gate2014ec2
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39
GATE2014233
Q.33 In the magnetically coupled circuit shown in the figure, 56% of the total flux emanating from one coil links the other coil. The value of the mutual inductance (inH) is ____ .
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Mar 26, 2018
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gate2014ec2
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40
GATE2014234
Q.34 Assume electronic charge q$= 1.6\times 10^{19} C,$kT/q$=$25mV and electron mobility $\mu_{n}= 1000cm^{2}/$Vs. If the concentration gradient of electrons injected into a Ptype silicon sample is $\times 10^{21}/cm^{4}$, the magnitude of electron diffusion current density (in A/$cm^{2}$) is _________ .
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