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Recent questions tagged gate2015-ec-1

2 2 votes
2 answers 2 answers
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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 app...
2 2 votes
1 answers 1 answer
585
585 views
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_______croakroarhisspatter
3 3 votes
2 answers 2 answers
479
479 views
GATE ECE 2015 Set 1 | GA | Question: 3
Choose the word most similar in meaning to the given word:EduceExpertEducateExtractExtend
8 8 votes
2 answers 2 answers
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708 views
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 val...
10 10 votes
2 answers 2 answers
654
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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$$-49/25$
14 14 votes
4 answers 4 answers
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GATE ECE 2015 Set 1 | GA | Question: 6
The following question presents a sentence, part of which is underlined. Beneath the sentence, you find four ways of phrasing the underlined part. Following the requireme...
4 4 votes
1 answers 1 answer
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503 views
GATE ECE 2015 Set 1 | GA | Question: 7
Read the following paragraph and choose the correct statement.Climate change has reduced human security and threatened human well being. An ignored reality of human progr...
11 11 votes
3 answers 3 answers
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GATE ECE 2015 Set 1 | GA | Question: 8
Fill in the missing value
15 15 votes
3 answers 3 answers
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GATE ECE 2015 Set 1 | GA | Question: 9
A cube of side $3$ units is formed using a set of smaller cubes of side $1$ unit. Find the proportion of the number of faces of the smaller cubes visible to those which a...
5 5 votes
2 answers 2 answers
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GATE ECE 2015 Set 1 | GA | Question: 10
Humpty Dumpty sits on a wall every day while having lunch. The wall sometimes breaks. A person sitting in the wall falls if the wall breaks.Which one of the statement bel...
0 0 votes
0 0 answers
449
449 views
GATE ECE 2015 Set 1 | Question: 1
Consider a system of linear equations:$$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 __...
2 2 votes
1 1 answer
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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$...
0 0 votes
0 0 answers
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333 views
GATE ECE 2015 Set 1 | Question: 3
Suppose $A$ and $B$ are two independent events with probabilities $P(A) \neq 0$ and $P(B) \neq 0$. Let $\overline{A}$ and $\overline{B}$ be their complements. Which one o...
0 0 votes
0 0 answers
556
556 views
GATE ECE 2015 Set 1 | Question: 4
Let $z=x+iy$ be a complex variable. Consider that contour integration is performed along the unit circle in anticlockwise direction. Which one of the following statements...
0 0 votes
1 1 answer
688
688 views
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 ...
0 0 votes
0 0 answers
570
570 views
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 ____________.
0 0 votes
0 0 answers
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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 __________.
0 0 votes
0 0 answers
358
358 views
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
0 0 votes
0 0 answers
568
568 views
GATE ECE 2015 Set 1 | Question: 9
A region of negative differential resistance is observed in the current voltage characteristics of a silicon PN junction ifboth the P – region and the N – region are heav...
0 0 votes
0 0 answers
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507 views
GATE ECE 2015 Set 1 | Question: 10
A silicon sample is uniformly doped with donor type impurities with a concentration of $10^{16} / cm^3$. The electron and hole mobilities in the sample are $1200 \: cm^2/...
0 0 votes
0 0 answers
493
493 views
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
0 0 votes
0 0 answers
484
484 views
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 ________.
0 0 votes
0 0 answers
380
380 views
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 \: \...
0 0 votes
0 0 answers
335
335 views
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, respectivelyB and FA and FH and FA and C
0 0 votes
0 0 answers
430
430 views
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 addr...
0 0 votes
0 0 answers
444
444 views
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 ...
0 0 votes
0 0 answers
395
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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)$
1 1 vote
0 0 answers
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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 _______...
0 0 votes
0 0 answers
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535 views
GATE ECE 2015 Set 1 | Question: 19
Negative feedback in a closed-loop control system $\textbf{ DOES NOT}$reduce the overall gainreduce bandwidthimprove disturbance rejectionreduce sensitivity to parameter ...
0 0 votes
0 0 answers
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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 im...
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