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Recent questions tagged gate2014-ec-2

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GATE ECE 2014 Set 2 | GA Question: 1
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
Choose the most appropriate word from the options given below to complete the following sentence.Communication and interpersonal skills are__________ important in their o...
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GATE ECE 2014 Set 2 | GA Question: 2
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
Which of the options given below best completes the following sentence?She will feel much better if she ________________.will get some restgets some restwill be getting s...
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GATE ECE 2014 Set 2 | GA Question: 3
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
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...
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GATE ECE 2014 Set 2 | GA Question: 5
Fill in the missing number in the series. $2$ $3$ $6$ $15$ __________ $157.5$ $630$
Fill in the missing number in the series.$2$ $3$ $6$ $15$ __________ $157.5$ $630$
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GATE ECE 2014 Set 2 | GA Question: 6
Find the odd one in the following group $Q,W,Z,B \qquad B,H,K,M \qquad W,C,G,J \qquad M,S,V,X$ $Q, W, Z, B$ $B,H,K,M$ $W,C,G,J$ $M,S,V,X$
Find the odd one in the following group$Q,W,Z,B \qquad B,H,K,M \qquad W,C,G,J \qquad M,S,V,X$$Q, W, Z, B$$B,H,K,M$$W,C,G,J$$M,S,V,X$
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GATE ECE 2014 Set 2 | GA Question: 8
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?
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 eve...
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GATE ECE 2014 Set 2 | Question: 1
The determinant of matrix $A$ is $5$ and the determinant of matrix B is $40$. The determinant of matrix $AB$ is ________
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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GATE ECE 2014 Set 2 | Question: 2
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 ________.
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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GATE ECE 2014 Set 2 | Question: 3
For $0 \leq t < \infty ,$ the maximum value of the function $f(t)= e^{-t}-2e^{-2t}$ occurs at $t= log_{e}4$ $t= log_{e}2$ $t= 0$ $t= log_{e}8$
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$$t= log_{e}8$
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GATE ECE 2014 Set 2 | Question: 4
The value of $\lim_{x\rightarrow \infty }(1 +\tfrac{1}{x})^{x}$ is $\text{ln }2$ $1.0$ $e$ $\infty$
The value of $$\lim_{x\rightarrow \infty }(1 +\tfrac{1}{x})^{x}$$ is$\text{ln }2$$1.0$$e$$\infty$
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GATE ECE 2014 Set 2 | Question: 5
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 $\pm 1$ $0,0$ $\pm j$ $\pm 1/2$
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, th...
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GATE ECE 2014 Set 2 | Question: 7
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 ________.
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 ...
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GATE ECE 2014 Set 2 | Question: 9
An increase in the base recombination of a BJT will increase the common emitter dc current gain $\beta$ the breakdown voltage $BV_{CEO}$ the unity-gain cut-off frequency $f_{T}$ the transconductance $g_{m}$
An increase in the base recombination of a BJT will increasethe common emitter dc current gain $\beta$the breakdown voltage $BV_{CEO}$the unity-gain cut-off frequency $f_...
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GATE ECE 2014 Set 2 | Question: 10
In CMOS technology, shallow P-well or N-well regions can be formed using low pressure chemical vapour deposition low energy sputtering low temperature dry oxidation low energy ion-implantation
In CMOS technology, shallow P-well or N-well regions can be formed usinglow pressure chemical vapour deposition low energy sputteringlow temperature dry oxidationlow ener...
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GATE ECE 2014 Set 2 | Question: 13
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ... $V_{out}/V_{in}$ is __________.
A cascade connection of two voltage amplifier $A1$ and $A2$ is shown in the figure. The open-loop gain $A_{V0}$, input resistance $R_{in}$, and output resistance $R_{o}$ ...
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GATE ECE 2014 Set 2 | Question: 14
For an $n$-variable Boolean function, the maximum number of prime implicants is $2(n-1)$ $n/2$ $2^{n}$ $2^{n-1}$
For an $n$-variable Boolean function, the maximum number of prime implicants is$2(n-1)$$n/2$$2^{n}$$2^{n-1}$
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GATE ECE 2014 Set 2 | Question: 15
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
The number of bytes required to represent the decimal number $1856357$ in packed BCD (Binary Coded Decimal) form is ___________.
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GATE ECE 2014 Set 2 | Question: 17
As FIR system is described by the system function $ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$. The system is maximum phase minimum phase mixed phase zero phase
As FIR system is described by the system function $$ H(z) = 1 + \frac{7}{2} z^{-1} + \frac{3}{2}z^{-2}$$. The system ismaximum phaseminimum phasemixed phasezero phase
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GATE ECE 2014 Set 2 | Question: 18
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$ $0.5 – j 0.25$ $1/(0.5 + j 0.25)$ $1/(0.5 – j 0.25)$ $2+j 4$
Let $x[n] = x[-n]$. Let $X(z)$ be the $z$-transform of $x[n]$. If $0.5 + j 0.25$ is a zero of $X(z)$, which one of the following must also be a zero of $x(z)$$0.5 – j 0...
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GATE ECE 2014 Set 2 | Question: 20
The natural frequency of an undamped second-order system is $40$ rad/s. If the system is damped with a damping ratio $0.3$, the damped natural frequency in $rad/s$ is ___________.
The natural frequency of an undamped second-order 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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GATE ECE 2014 Set 2 | Question: 21
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is $\frac{s+1}{s^{2}}\\ $ $\frac{1}{s+1} \\$ $\frac{s+2}{s(s+1)} \\$ $\frac{s+1}{s(s+2)}$
For the following system, when $X_{1} (s) = 0$, the transfer function $\frac{Y(s)}{X_{2}(s)}$ is$\frac{s+1}{s^{2}}\\ $$\frac{1}{s+1} \\$$\frac{s+2}{s(s+1...
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GATE ECE 2014 Set 2 | Question: 23
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively, are $3$ V and $1$ V, is ___________.
Consider sinusoidal modulation in an AM system. Assuming no overmodulation, the modulation index ($\mu$) when the maximum and minimum values of the envelope, respectively...
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GATE ECE 2014 Set 2 | Question: 25
Which one of the following field patterns represents a TEM wave travelling in the position $x$ direction? $E= +8\hat{y,} \: H = -4\hat{z}$ $E= -2\hat{y,} H = -3\hat{z}$ $E= +2\hat{y,} H = +2\hat{y}$ $E= -3\hat{y,} H = +4\hat{z}$
Which one of the following field patterns represents a TEM wave travelling in the position $x$ direction?$E= +8\hat{y,} \: H = -4\hat{z}$$E= -2\hat{y,} H = -3\hat{z}$$E= ...
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GATE ECE 2014 Set 2 | Question: 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 $e^{y} \cos( x )$ $e^{-y} \sin( x )$ $-e^{y} \sin ( x )$ $-e^{-y} \sin (x )$
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$e^{y} \cos( x )$$e^{-y} \sin( x )$$-e^{y} \s...
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GATE ECE 2014 Set 2 | Question: 28
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
The maximum value of the determinant among all $2 \times 2$ real symmetric matrices with trace $14$ is __________.
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GATE ECE 2014 Set 2 | Question: 29
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
If $\overrightarrow {r}= x\hat{a_{x}}+y\hat{a_{y}}+z\hat{a_{z}}$ and $\mid \overrightarrow{r} \mid= r$ , then $\text{div} ( r^{2} \nabla ( \text{ln }r ) )$ = _______ .
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