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Recent questions tagged gate2015-ec-1

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GATE ECE 2015 Set 1 | GA Question: 1
Choose the most appropriate word from the options give below to complete the following sentence. The principal presented the chief guest with a __________, as token of appreciation. momento memento momentum’ moment
Choose the most appropriate word from the options give below to complete the following sentence.The principal presented the chief guest with a __________, as token of app...
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GATE ECE 2015 Set 1 | GA Question: 2
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence : Frogs_______ croak roar hiss patter
Choose the appropriate word\phrase, out of the four options given below, to complete the following sentence :Frogs_______croakroarhisspatter
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GATE ECE 2015 Set 1 | GA Question: 3
Choose the word most similar in meaning to the given word: Educe Expert Educate Extract Extend
Choose the word most similar in meaning to the given word:EduceExpertEducateExtractExtend
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GATE ECE 2015 Set 1 | GA Question: 4
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$ Find the value of $(66\,\square\, 6)\rightarrow(66\,\Diamond, 6).$ $-2$ $-1$ $1$ $2$
Operators $\square,$ $\Diamond$ and $\rightarrow$ are defined by: $a\,\square\,b=\frac{a+b}{a-b};\, a\,\Diamond, b=\frac{a+b}{a-b};$ $a\,\rightarrow\, b=ab.$Find the valu...
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GATE ECE 2015 Set 1 | GA Question: 5
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is $343/125$ $125/343$ $-25/49$ $-49/25$
If $\log_{x}{(\frac{5}{7})}=\frac{-1}{3},$ then the value of $x$ is$343/125$$125/343$$-25/49$$-49/25$
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GATE ECE 2015 Set 1 | GA Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible. $1:4$ $1:3$ $1:2$ $2:3$
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
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GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations: $x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$ The value of $k$ for which the system has infinitely many solutions is ___________
Consider a system of linear equations:$$x-2y+3z=-1, \\ x-3y+4z=1, \text{ and } \\ -2x+4y-6z=k.$$ The value of $k$ for which the system has infinitely many solutions is __...
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GATE ECE 2015 Set 1 | Question: 2
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is $-1/2$ $-1/3$ $1/3$ $1/2$
A function $f(x)=1-x^2+x^3$ is defined in the closed interval $[-1,1]$. The value of $x$, in the open interval $(-1,1)$ for which the mean value theorem is satisfied, is$...
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GATE ECE 2015 Set 1 | Question: 5
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 \end{bmatrix}$ is _________.
The value of $p$ such that the vector $\begin{bmatrix} 1 \\ 2 \\ 3 \end{bmatrix}$ is an eigenvector of the matrix $\begin{bmatrix} 4 & 1 & 2 \\ p & 2 & 1 \\ 14 & -4 & 10 ...
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GATE ECE 2015 Set 1 | Question: 6
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
In the circuit shown, at resonance, the amplitude of the sinusoidal voltage (in Volts) across the capacitor is ____________.
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GATE ECE 2015 Set 1 | Question: 7
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
In the network shown in the figure, all resistors are identical with $R = 300 \Omega$. The resistance $R_{ab}$ (in $\Omega$) of the network is __________.
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GATE ECE 2015 Set 1 | Question: 8
In the given circuit, the values of $V_1$ and $V_2$ respectively are $5$ V, $25$ V $10$ V, $30$ V $15$ V, $35$ V $0$ V, $20$ V
In the given circuit, the values of $V_1$ and $V_2$ respectively are$5$ V, $25$ V$10$ V, $30$ V$15$ V, $35$ V$0$ V, $20$ V
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GATE ECE 2015 Set 1 | Question: 11
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be
For the circuit with ideal diodes shown in the figure, the shape of the output $v_{\text{out}}$ for the given sine wave input $v_{\text{in}}$ will be
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GATE ECE 2015 Set 1 | Question: 12
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.
In the circuit shown below, the Zener diode is ideal and the Zener voltage is $6$ V. The output voltage $V_o$ (in volts) is ________.
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GATE ECE 2015 Set 1 | Question: 13
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \mu F$ capacitor from $0$ V t $3$ V is $0.3$ $0.45$ $0.9$ $3$
In the circuit shown, the switch SW is thrown from position $A$ to position $B$ at time $t=0$. The energy (in $\mu J$) taken from the $3$ V source to charge the $0.1 \: \...
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GATE ECE 2015 Set 1 | Question: 14
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectively B and F A and F H and F A and C
In an 8085 microprocessor, the shift registers which store the result of an addition and the overflow bit are, respectivelyB and FA and FH and FA and C
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GATE ECE 2015 Set 1 | Question: 15
A $16$ Kb ($=16,384$ bits) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of address lines needed for the row decoder is ___________
A $16$ Kb ($=16,384$ bits) memory array is designed as a square with an aspect ratio of one (number of rows is equal to the number of columns). The minimum number of addr...
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GATE ECE 2015 Set 1 | Question: 16
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog value (in Volts) corresponding to the digital signal $1111$ is _________
Consider a four bit $D$ to $A$ converter. The analog value corresponding to digital signals of values $0000$ and $0001$ are $0$ V and $0.0625$ V respectively. The analog ...
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GATE ECE 2015 Set 1 | Question: 17
The result of the convolution $x(-t) * \delta (-t-t_0)$ is $x(t+t_0)$ $x(t-t_0)$ $x(-t+t_0)$ $x(-t – t_0)$
The result of the convolution $x(-t) * \delta (-t-t_0)$ is$x(t+t_0)$$x(t-t_0)$$x(-t+t_0)$$x(-t – t_0)$
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GATE ECE 2015 Set 1 | Question: 18
The waveform of a periodic signal $x(t)$ is shown in the figure. A signal $g(t)$ is defined by $g(t) = x \big( \frac{t-1}{2} \big)$. The average power of $g(t)$ is ________
The waveform of a periodic signal $x(t)$ is shown in the figure.A signal $g(t)$ is defined by $g(t) = x \big( \frac{t-1}{2} \big)$. The average power of $g(t)$ is _______...
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GATE ECE 2015 Set 1 | Question: 19
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$ reduce the overall gain reduce bandwidth improve disturbance rejection reduce sensitivity to parameter variation
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$reduce the overall gainreduce bandwidthimprove disturbance rejectionreduce sensitivity to parameter ...
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GATE ECE 2015 Set 1 | Question: 20
A unity negative feedback system has the open-loop transfer function $G(s) = \frac{K}{s(s+1)(s+3)}$. The value of the gain $K (>0)$ at which the root locus crosses the imaginary axis is ________
A unity negative feedback system has the open-loop transfer function $G(s) = \frac{K}{s(s+1)(s+3)}$. The value of the gain $K (>0)$ at which the root locus crosses the im...
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GATE ECE 2015 Set 1 | Question: 21
The polar plot of the transfer function $G(s) = \frac{10(s+1)}{s+10}$ for $0 \leq \omega < \infty$ will be in the first quadrant second quadrant third quadrant fourth quadrant
The polar plot of the transfer function $G(s) = \frac{10(s+1)}{s+10}$ for $0 \leq \omega < \infty$ will be in thefirst quadrantsecond quadrantthird quadrantfourth quadran...
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GATE ECE 2015 Set 1 | Question: 25
The solution of the differential equation $\frac{d^2y}{dt^2} + 2 \frac{dy}{dt}+y=0$ with $y(0)=y’(0)=1$ is $(2-t)e^t$ $(1+2t)e^{-t}$ $(2+t)e^{-t}$ $(1-2t)e^t$
The solution of the differential equation $\frac{d^2y}{dt^2} + 2 \frac{dy}{dt}+y=0$ with $y(0)=y’(0)=1$ is$(2-t)e^t$$(1+2t)e^{-t}$$(2+t)e^{-t}$$(1-2t)e^t$
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GATE ECE 2015 Set 1 | Question: 28
Which one of the following graphs describes the function $f(x)=e^{-x}(x^2+x+1)$?
Which one of the following graphs describes the function $f(x)=e^{-x}(x^2+x+1)$?
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GATE ECE 2015 Set 1 | Question: 29
The maximum area (in square units) of a rectangle whose vertices lie on the eclipse $x^2+4y^2=1$ is __________.
The maximum area (in square units) of a rectangle whose vertices lie on the eclipse $x^2+4y^2=1$ is __________.
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GATE ECE 2015 Set 1 | Question: 31
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.
In the circuit shown, switch SW is closed at $t=0$. Assuming zero initial conditions, the value of $v_c(t)$ (in Volts) at $t=1$ sec is _________.
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