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Previous GATE
0
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1
GATE2016 EC3: 3
The probability of getting a “head” in a single toss of a biased coin is 0.3. The coin is tossed repeatedly till a “head” is obtained. If the tosses are independent, then the probability of getting “head” for the first time in the fifth toss is _________
asked
Nov 21, 2019
in
Probability and Statistics
by
Kushagra गुप्ता
(
260
points)
gate2016ec
probability
0
votes
0
answers
2
GATE2009 EC: 11
A fair coin is tossed 10 times. What is the probability that ONLY the first two tosses will yield heads. (A) $\left(\dfrac{1}{2}\right)^{2}$ (B) $^{10}C_2\left(\dfrac{1}{2}\right)^{2}$ (C) $\left(\dfrac{1}{2}\right)^{10}$ (D) $^{10}C_2\left(\dfrac{1}{2}\right)^{10}$
asked
Nov 21, 2019
in
Probability and Statistics
by
Kushagra गुप्ता
(
260
points)
gate2009ec
probability
0
votes
1
answer
3
GATE2017 EC1: GA10
A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at $25$ m intervals in this plot. The path from $P$ to $Q$ is best described by UpDownUpDown DownUpDownUp DownUpDown UpDownUp
asked
May 31, 2019
in
Numerical Ability
by
Lakshman Patel RJIT
(
190
points)
gate2017ec1
generalaptitude
numericalability
datainterpretation
0
votes
1
answer
4
GATE2019 EC: GA1
The strategies that the company ________ to sell its products _______ housetohouse marketing. use, includes uses, include used, includes uses, including
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
verbalability
englishgrammar
0
votes
1
answer
5
GATE2019 EC: GA2
The boat arrived ______ dawn. in at on under
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
verbalability
englishgrammar
0
votes
1
answer
6
GATE2019 EC: GA3
It would take one machine $4$ hours to complete a production order and another machine $2$ hours to complete the same order. If both machines work simultaneously at their respective constant rates, the time taken to complete the same order is ________ hours. $2/3$ $3/4$ $4/3$ $7/3$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
numericalability
worktime
0
votes
2
answers
7
GATE2019 EC: GA4
Five different books $(P, Q, R, S, T)$ are to be arranged on a shelf. The books $R$ and $S$ are to be arranged first and second, respectively from the right side of the shelf. The number of different orders in which $P, Q$ and $T$ may be arranged is ______. $2$ $6$ $12$ $120$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
numericalability
permutationsandcombinations
0
votes
1
answer
8
GATE2019 EC: GA5
When he did not come home, she _______ him lying dead on the roadside somewhere. concluded looked notice pictured
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
verbalability
mostappropriateword
0
votes
1
answer
9
GATE2019 EC: GA6
Four people are standing in a line facing you. They are Rahul, Mathew, Seema and Lohit. One is an engineer, one is a doctor, one a teacher and another a dancer. You are told that: Mathew is not standing next to Seema There are two people standing ... Seema is turning to her right to speak to the doctor standing next to her Who among them is an engineer? Seema Lohit Rahul Mathew
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
numericalability
logicalreasoning
0
votes
0
answers
10
GATE2019 EC: GA7
The bar graph in panel (a) shows the proportion of male and female illiterates in $2001$ and $2011.$ The proportions of males and females in $2001$ and $2011$ are given in Panel (b) and (c), respectively. The total population did not change during this period. The percentage increase in the total number of literates from $2001$ to $2011$ is ______. $30.43$ $33.43$ $34.43$ $35.43$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
numericalability
datainterpretation
0
votes
0
answers
11
GATE2019 EC: GA8
"Indian history was written by British historiansextremely well documented and researched, but not always impartial. History had to serve its purpose: Everything was made subservient to the glory of the Union Jack. Latterday Indian scholars ... biased was well documented and researched but was sometimes biased was not well documented and researched and was sometimes biased
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
verbalability
passagereading
0
votes
0
answers
12
GATE2019 EC: GA9
Two design consultants, $P$ and $Q,$ started working from $8$ AM for a client. The client budgeted a total of USD $3000$ for the consultants. $P$ stopped working when the hour hand moved by $210$ degrees on the clock. $Q$ stopped working when the hour ... . After paying the consultants, the client shall have USD _______ remaining in the budget. $000.00$ $166.67$ $300.00$ $433.33$
asked
Feb 12, 2019
in
Numerical Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
numericalability
clock
worktime
0
votes
1
answer
13
GATE2019 EC: GA10
Five people $P,Q,R,S$ and $T$ work in a bank. $P$ and $Q$ don't like each other but have to share an office till $T$ gets a promotion and moves to the big office next to the garden $R,$ who is currently sharing an office with $T$ wants to move to ... with $S,$ the handsome new intern. Given the floor plan, what is the current location of $Q, R$ and $T?$ (O=Office, WR=Washroom)
asked
Feb 12, 2019
in
Verbal Ability
by
Arjun
(
1.4k
points)
gate2019ec
generalaptitude
verbalability
verbalreasoning
+2
votes
0
answers
14
GATE2019 EC: 1
Which one of the following functions is analytic over the entire complex plane? $\ln(z)$ $e^{1/z}$ $\frac{1}{1z}$ $\cos(z)$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
15
GATE2019 EC: 2
The families of curves represented by the solution of the equation $\frac{dy}{dx}=\: – \left(\frac{x}{y} \right)^n$ for $n=1$ and $n= +1,$ respectively, are Parabolas and Circles Circles and Hyperbolas Hyperbolas and Circles Hyperbolas and Parabolas
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
16
GATE2019 EC: 3
Let $H(z)$ be the $z$ transform of a realvalued discretetime signal $h[n].$ If $P(z) = H(z) H(\frac{1}{z})$ has a zero at $z= \frac{1}{2}+\frac{1}{2}j,$ and $P(z)$ has a total of four zeros, which one of the following plots represents all the zeros correctly?
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
17
GATE2019 EC: 4
Consider the twoport resistive network shown in the figure. When an excitation of $5\: V$ is applied across Port $1$, and Port $2$ is shorted, the current through the short circuit at Port $2$ is measured to be $1\: A$ ... figure), what is the current through the short circuit at Port $1?$ $0.5\: A$ $1\: A$ $2\: A$ $2.5\: A$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
18
GATE2019 EC: 5
Let $Y(s)$ be the unitstep response of a causal system having a transfer function $G(s)= \dfrac{3s}{(s+1)(s+3)}$ that is ,$Y(s)=\dfrac{G(s)}{s}.$ The forced response of the system is $u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)2e^{t}u(t)+e^{3t}u(t)$ $2u(t)$ $u(t)$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
19
GATE2019 EC: 6
For an LTI system, the Bode plot for its gain is as illustrated in the figure shown. The number of system poles $N_{p}$ and the number of system zeros $N_{z}$ in the frequency range $1\: Hz \leq f \leq \:10^{7} Hz $ is $N_{p}=5, N_{z}=2$ $N_{p}=6, N_{z}=3$ $N_{p}=7, N_{z}=4$ $N_{p}=4, N_{z}=2$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
20
GATE2019 EC: 7
A linear Hamming code is used to map $4bit$ message to $7bit$ codewords. The encoder mapping is linear. If the message $0001$ is mapped to the codeword $0000111$, and the message $0011$ is mapped to the codeword $1100110$, then the message $0010$ is mapped to $0010011$ $1100001$ $1111000$ $1111111$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
21
GATE2019 EC: 8
Which one of the following options describes correctly the equilibrium band diagram at $T=300\:K$ of a Silicon $pnn^{+}\:\:p^{++}$ configuration shown in the figure?
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
22
GATE2019 EC: 9
The correct circuit representation of the structure shown in the figure is
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
23
GATE2019 EC: 10
The figure shows the highfrequency CV curve of a MOS capacitor $(\text{at}\: T=300\: K)$ with $\Phi_{ms}= 0\: V$ and no oxide charges. The flatband, inversion, and accumulation conditions are represented, respectively, by the points $P,Q,R$ $Q,R,P$ $R,P,Q$ $Q,P,R$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
24
GATE2019 EC: 11
What is the electric flux $\left(\int \vec{E}.d \hat{a}\right)$ through a quartercylinder of height $H$ (as shown in the figure) due to an infinitely long line charge along the axis of the cylinder with a charge density of $Q?$ $\frac{HQ}{\varepsilon_{0}}$ $\frac{HQ}{4\varepsilon_{0}}$ $\frac{H\varepsilon_{0}}{4Q}$ $\frac{4H}{Q\varepsilon_{0}}$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
25
GATE2019 EC: 12
In the table shown, List I and List II, respectively, contain terms appearing on the lefthand side and the righthand side of Maxwell's equations (in their standard form). Match the lefthand side with the corresponding righthand side. ... $1Q,2R,3P,4S$ $1Q,2S,3P,4R$ $1R,2Q,3S,4P$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
26
GATE2019 EC: 13
A standard CMOS inverter is designed with equal rise and fall times $(\beta_{n}=\beta_{p}).$ If the width of the pMOS transistor in the inverter is increased, what would be the effect on the LOW noise margin $NM_{L}$ and the HIGH noise margin $NM_{H}$ ... decreases. $NM_{L}$ decreases and $NM_{H}$ increases. Both $NM_{L}$ and $NM_{H}$ increases. No change in the noise margins.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
27
GATE2019 EC: 14
In the circuit shown, what are the values of $F$ for $EN=0$ and $EN=1,$ respectively? $\text{0 and D}$ $\text{HiZ and D}$ $\text{0 and 1}$ $\text{HiZ and}$ $ \overline{D}$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
28
GATE2019 EC: 15
In the circuit shown, $A$ and $B$ are the inputs and $F$ is the output. What is the functionality of the circuit? Latch XNOR SRAM Cell XOR
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
29
GATE2019 EC: 16
The value of the contour integral $\frac{1}{2\pi j} \oint\left(z+\frac{1}{z}\right)^{2}dz$ evaluated over the unit circle $\mid z \mid=1$ is_______.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
1
answer
30
GATE2019 EC: 17
The number of distinct eigenvalues of the matrix $A=\begin{bmatrix} 2&2&3&3\\0&1&1&1\\0&0&3&3\\0&0&0&2 \end{bmatrix}$ is equal to ____________.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
31
GATE2019 EC: 18
If $X$ and $Y$ are random variables such that $E\left[2X+Y\right]=0$ and $E\left[X+2Y\right]=33$, then $E\left[X\right]+E\left[Y\right]=$___________.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
32
GATE2019 EC: 19
The value of the integral $\int_{0}^{\pi} \int_{y}^{\pi}\dfrac{\sin x}{x}dx\: dy ,$ is equal to __________.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
33
GATE2019 EC: 20
Let $Z$ be an exponential random variable with mean $1$. That is, the cumulative distribution function of $Z$ is given by $F_{Z}(x)= \left\{\begin{matrix} 1e^{x}& \text{if}\: x \geq 0 \\ 0& \text{if}\: x< 0 \end{matrix}\right.$ Then $Pr\left(Z>2 \mid Z>1\right),$ rounded off to two decimal places, is equal to ___________.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
34
GATE2019 EC: 21
Consider the signal $f(t)=1+2 \cos(\pi t)+3 \sin \left(\dfrac{2\pi}{3}t\right)+4 \cos \left(\dfrac{\pi}{2}t+\dfrac{\pi}{4}\right)$, where $t$ is in seconds. Its fundamental time period, in seconds, is __________.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
35
GATE2019 EC: 22
The baseband signal $m(t)$ shown in the figure is phasemodulated to generate the $PM$ signal $\varphi(t)=\cos(2\pi f_{c}t+ k\:\: m(t)).$ The time $t$ on the $x$ axis in the figure is in milliseconds. If the carrier ... the ratio of the minimum instantaneous frequency (in kHz) to the maximum instantaneous frequency (in kHz) is _________ (rounded off to $2$ decimal places).
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
36
GATE2019 EC: 23
Radiation resistance of a small dipole current element of length $l$ at a frequency of $3$ GHz is $3$ ohms. If the length is changed by $1\%$, then the percentage change in the radiation resistance, rounded off to two decimal places, is ________ $\%.$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
37
GATE2019 EC: 24
In the circuit shown, $V_{s}$ is square wave of period $T$ with maximum and minimum values of $8\: V$ and $10\: V$, respectively. Assume that the diode is ideal and $R_{1}=R_{2}=50\: \Omega.$ The average value of $V_{L}$ is _______ volts (rounded off to $1$ decimal place).
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
38
GATE2019 EC: 25
In the circuit shown, the clock frequency, i.e., the frequency of the ClK signal, is $12\:kHz$. The frequency of the signal at $Q_{2}$ is _______ kHz.
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
numericalanswers
0
votes
0
answers
39
GATE2019 EC: 26
Consider a differentiable function $f(x)$ on the set of real numbers, such that $f(1)=0$ and $ \mid f’(x) \mid \leq 2.$ Given these conditions, which one of the following inequalities is necessarily true for all $x \in[2,2]?$ $f(x)\leq \frac{1}{2} \mid x+1 \mid$ $f(x)\leq 2 \mid x+1 \mid $ $f(x)\leq \frac{1}{2} \mid x \mid$ $f(x)\leq 2 \mid x \mid$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
0
votes
0
answers
40
GATE2019 EC: 27
Consider the line integral $\int_{c} (xdyydx)$ the integral being taken in a counterclockwise direction over the closed curve $C$ that forms the boundary of the region $R$ shown in the figure below. The region $R$ is the area enclosed by the union of a $2 \times 3$ rectangle and ... circle of radius $1$. The line integral evaluates to $6+ \dfrac{\pi}{2}$ $8+\pi$ $12+\pi$ $16+2\pi$
asked
Feb 12, 2019
in
Others
by
Arjun
(
1.4k
points)
gate2019ec
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