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Recent questions tagged gate2016-ec-1

9 9 votes
3 answers 3 answers
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GATE ECE 2016 Set 1 | GA | Question: 1
Which of the following is CORRECT with respect to grammar and usage?Mount Everest is ____________the highest peak in the worldhighest peak in the worldone of highest peak...
9 9 votes
6 answers 6 answers
832
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GATE ECE 2016 Set 1 | GA | Question: 2
The policeman asked the victim of a theft, “What did you______?”looseloselosslouse
2 2 votes
1 answers 1 answer
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GATE ECE 2016 Set 1 | GA | Question: 3
Despite the new medicine’s_____________ in treating diabetes, it is not _____________ widely.effectiveness - prescribedavailability - usedprescription - availableacce...
7 7 votes
3 answers 3 answers
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GATE ECE 2016 Set 1 | GA | Question: 4
In a huge pile of apples and oranges, both ripe and unripe mixed together,$15\%$ are unripe fruits. Of the unripe fruits, $45 \%$ are apples. Of the ripe ones, $66 \%$ ar...
8 8 votes
1 answers 1 answer
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GATE ECE 2016 Set 1 | GA | Question: 5
Michael lives $10$ km away from where I live. Ahmed lives $5$ km away and Susan lives $7$ km away from where I live. Arun is farther away than Ahmed but closer than Sus...
7 7 votes
5 answers 5 answers
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GATE ECE 2016 Set 1 | GA | Question: 6
A person moving through a tuberculosis prone zone has a $50 \%$ probability of becoming infected. However, only $30 \%$ of infected people develop the disease. What perce...
4 4 votes
2 answers 2 answers
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GATE ECE 2016 Set 1 | GA | Question: 7
In a world filled with uncertainty, he was glad to have many good friends. He had always assisted them in times of need and was confident that they would reciprocate. How...
5 5 votes
2 answers 2 answers
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GATE ECE 2016 Set 1 | GA | Question: 8
Leela is older than her cousin Pavithra. Pavithra’s brother Shiva is older than Leela. When Pavithra and Shiva are visiting Leela, all three like to play chess. Pavithra ...
13 13 votes
4 answers 4 answers
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GATE ECE 2016 Set 1 | GA | Question: 9
If $q^{-a} = \frac{1}{r}$ and $r^{-b}=\frac{1}{s}$ and $s^{-c} = \frac{1}{q}$ ,the value of $abc$ is______.$(rqs)^{-1}$$0$$1$$r+q+s$
14 14 votes
3 answers 3 answers
878
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GATE ECE 2016 Set 1 | GA | Question: 10
P, Q, R and S are working on a project. Q can finish the task in $25$ days, working alone for $12$ hours a day. R can finish the task in $50$ days, working alone for $12$...
0 0 votes
0 0 answers
517
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GATE ECE 2016 Set 1 | Question: 1
Let $M^4$= $I$,(where $I$ denotes the identity matrix) and $ M \neq I$, $M^2\neq I$ and $M^3\neq I$. Then,for any natural number $k$, $M^{-1}$ equals:$M^{4k+1}$ $M^{4...
0 0 votes
0 0 answers
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GATE ECE 2016 Set 1 | Question: 2
The second moment of a Poisson-distributed random variable is $2$. The mean of the random variable is _____
0 0 votes
1 1 answer
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GATE ECE 2016 Set 1 | Question: 3
Given the following statements about a function $f: \Bbb R \rightarrow \Bbb R$, select the right option:P: If $f(x)$ is continuous at $x = x_0$ then it is also different...
0 0 votes
0 0 answers
462
462 views
GATE ECE 2016 Set 1 | Question: 4
Which one of the following is a property of the solutions to the Laplace equation: $\nabla^2f = 0$?The solutions have neither maxima nor minima anywhere except at the bo...
1 1 vote
0 0 answers
553
553 views
GATE ECE 2016 Set 1 | Question: 5
Consider the plot $f(x)$ versus $x$ as shown below. Suppose $F(x)= \int_{-5}^{x} f(y) dy$. Which one of the following is a gra...
0 0 votes
0 0 answers
468
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GATE ECE 2016 Set 1 | Question: 6
Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems ($u(t)$ denotes the unit-step function)?$e^{j\omega_0t...
0 0 votes
0 0 answers
684
684 views
GATE ECE 2016 Set 1 | Question: 7
A continuous-time function $x(t)$ is periodic with period $T$. The function is sampled uniformly with a sampling period $T_s$. In which one of the following cases is the ...
0 0 votes
0 0 answers
341
341 views
GATE ECE 2016 Set 1 | Question: 8
Consider the sequence $x[n] = a^nu[n] + b^nu[n]$, where $u[n]$ denotes the unit-step sequence and $0<\mid a \mid < \mid b \mid<1$. The region of convergence (ROC) of the ...
0 0 votes
0 0 answers
374
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GATE ECE 2016 Set 1 | Question: 9
Consider a two-port network with the transmission matrix: $T = \begin{pmatrix}A & B \\C & D\end{pmatrix}$. If the network is reciprocal, then $T^{-1} = T$$T^2 = T$Deter...
0 0 votes
0 0 answers
495
495 views
GATE ECE 2016 Set 1 | Question: 10
A continuous-time sinusoid of frequency $33 Hz$ is multiplied with a periodic Dirac impulse train of frequency $46Hz$. The resulting signal is passed through an ideal ana...
0 0 votes
0 0 answers
580
580 views
GATE ECE 2016 Set 1 | Question: 11
A small percentage of impurity is added to an intrinsic semiconductor at $300 \: K$. Which one of the following statements is true for the energy band diagram shown in th...
0 0 votes
0 0 answers
564
564 views
GATE ECE 2016 Set 1 | Question: 12
Consider the following statements for a metal oxide semiconductor field effect transistor (MOSFET):As channel length reduces,OFF-state current increases.As channel length...
0 0 votes
0 0 answers
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GATE ECE 2016 Set 1 | Question: 13
Consider the constant current source shown in the figure below. Let $\beta$ represent the current gain of the transistor.The load current $I_0$ through $R_L$ is$I_0 = \bi...
0 0 votes
0 0 answers
461
461 views
GATE ECE 2016 Set 1 | Question: 14
The following signal $V_i$ of peak voltage $8 \: V$ is applied to the non-inverting terminal of an ideal Op-amp.The transistor has $V_{EE}=0.7 \: V$, $\beta=100; \: V_{LE...
0 0 votes
0 0 answers
516
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GATE ECE 2016 Set 1 | Question: 15
Consider the oscillator circuit shown in the figure. The function of the network (shown in dotted lines) consisting of the $100 \: k \Omega$ resistor in series with the t...
0 0 votes
0 0 answers
587
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GATE ECE 2016 Set 1 | Question: 17
The output of the combinational circuit given below is $A+B+C$$A(B+C)$$B(C+A)$$C(A+B)$
0 0 votes
0 0 answers
358
358 views
GATE ECE 2016 Set 1 | Question: 18
What is the voltage $V_{out}$ in the following circuit ?$0 V$($\mid V_T$ of PMOS$\mid$ + $V_T$ of NMOS)$/2$Switching threshold of inverter$V_{DD}$
1 1 vote
0 0 answers
527
527 views
GATE ECE 2016 Set 1 | Question: 19
Match the inferences $X$, $Y$ and $Z$, about a system,to the corresponding properties of the elements of first column in Rouths' Table of the system characteristic equati...
0 0 votes
0 0 answers
429
429 views
GATE ECE 2016 Set 1 | Question: 20
A closed-loop control system is stable if the Nyquist plot of the corresponding open-loop transfer functionencircles the $s$-plane point $(-1+j0)$ in the counter clockwis...
0 0 votes
0 0 answers
439
439 views
GATE ECE 2016 Set 1 | Question: 21
Consider binary data transmission at a rate of $56$ kbps using baseband binary pulse amplitude modulation (PAM) that is designed to have a raised-cosine spectrum. The tra...
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