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Practice Test: Gate Electrical Engineering GATE 2017 Paper - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test - Practice Test: Gate Electrical Engineering GATE 2017 Paper

Practice Test: Gate Electrical Engineering GATE 2017 Paper for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Practice Test: Gate Electrical Engineering GATE 2017 Paper questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Practice Test: Gate Electrical Engineering GATE 2017 Paper MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Practice Test: Gate Electrical Engineering GATE 2017 Paper below.
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Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 1

Directions

Q. No. 1 – 5 Carry One Mark Each

Q.

There are five buildings called V, W, X, Y and Z in a row (not necessarily in that order). V is to the West of W, Z is to the East of X and the West of V, W is to the West of Y. Which is the building in the middle?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 1

From the given data, the following is formed

∴ The building "V‟ is in the middle

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 2

Saturn is _________ to be seen on a clear night with the naked eye.

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Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 3

Choose the option with words that are not synonyms.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 4

There are 3 red socks, 4 green socks and 3 blue socks. You choose 2 socks. The probability that they are of the same colour is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 4

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 5

A test has twenty questions worth 100 marks in total.  There are two types of questions. Multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

 

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 5

x + y = 20 , x = MCQ

3x + 11y = 100 , y = esaay type

⇒ x = 15 , y = 5

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 6

Directions:

Q. No. 6 – 10 Carry Two Marks Each

Q.

An air pressure contour line joins locations in a region having the same atmospheric pressure. The following is an air pressure contour plot of a geographical region. Contour lines are shown at 0.05 bar intervals in this plot

.

If the possibility of a thunderstorm is given by how fast air pressure rises or drops over a region, which of the following regions is most likely to have a thunderstorm?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 6

In general thunder storms are occurred in a region where suddenly air pressure changes (i.e.,) should rise (or) sudden fall of air pressure. From the given contour map in "R‟ region only more changes in air pressure. So, the possibility of a thunder storms in this region.
So option (C) is correct.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 7

There are three boxes. One contains apples, another contains oranges and the last one contains both apples and oranges. All three are known to be incorrectly labelled. If you are permitted to open just one box and then pull out and inspect only one fruit, which box would you open to determine the contents of all three boxes?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 7

The person who is opening the boxes, he knew that all 3 are marked wrong.
Suppose if 3 boxes are labelled as below.

If he inspected from Box(1), picked one fruit, found orange, then he don't know whether box contains oranges (or) both apples and oranges.
Similarly, if he picked one fruit from box(2), found apple then he don't know whether box contain apples (or) both apples and oranges.
But if he picked one fruit from box(3), i.e., labelled is “apples and oranges‟, if he found apple then he can decide compulsorily that box(3) contains apples and as he knew all boxes are labelled as incorrect, he can tell box(2) contains both apples and oranges, box(1) contain remaining oranges. So, he should open box labelled "Apples and Oranges‟ to determine contents of all the three boxes.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 8

“We lived in a culture that denied any merit to literary works, considering them important only when they were handmaidens to something seemingly more urgent – namely ideology. This was a country where all gestures, even the most private, were interpreted in political terms.”The author‟s belief that ideology is not as important as literature is revealed by the word:

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 9

X is a 30 digit number starting with the digit 4 followed by the digit 7. Then the number X3 will have

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 9

X = ( 47...........) 30 digits

Suppose ( 47)3 = 2 + 2 + 2 digits in (47)3

Similarly ( 47 )3 = contains 30 + 30 + 30 digits = 90 digits.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 10

The number of roots of e+ 0.5x2 - 2 = 0 in the range [ -5, 5] is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 10

f ( x ) = ex + 0.5x2 - 2

f (-5) = 10.50; f ( -4) = 6.01, f ( -2 ) = 0.135; f ( -1) = -1.13;

f(0) = -1, f (1) = 1.21, f ( 2 ) = 7.38, f(3) , f (4) , f (5) also + ve.

∴  As there are 2 sign changes from +ve to –ve and –ve to +ve, two roots will be there in the range [-5, 5].

 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 11

Directions:

Q. No. 11 – 35 Carry One Mark Each

Q.

In the circuit shown, the diodes are ideal, the inductance is small, and Io ≠ 0. Which one of the following statements is true?

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 12

For a 3-input logic circuit shown below, the output Z can be expressed as

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 12

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 13

An urn contains 5 red balls and 5 black balls. In the first draw, one ball is picked at random and discarded without noticing its colour. The probability to get a red ball in the second draw is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 13

Here R is red ball, B is black ball

∴ The probability to get a red ball in the second draw is 

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 14

When a unit ramp input is applied to the unity feedback system having closed loop transfer 
function  the steady state error will be

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 14

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 15

A three-phase voltage source inverter with ideal devices operating in 180o conduction mode is feeding a balanced star-connected resistive load. The DC voltage input is Vdc. The peak of the fundamental component of the phase voltage is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 15

Fourier series expansion of line to neutral voltage Vao is given by

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 16

The figures show diagrammatic representations of vector fields  respectively. 
Which one of the following choices is true?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 16

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 17

Assume that in a traffic junction, the cycle of traffic signal lights is 2 minutes of green(vehicle does not stop) and 3 minutes of red (vehicle stops). Consider the arrival time of vehicles at the junction is uniformly distributed over 5 minute cycle. The expected waiting time in minutes for the vehicle at the junction is _________


Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 18

Consider a solid sphere of radius 5 cm made of a perfect electric conductor. If one million electrons are added to this sphere, these electrons will be distributed.

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 18

For a perfect conductor the charge is present only on the surface.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 19

The transfer function C (s ) of a compensator is given below.

The frequency range in which the phase (lead) introduced by the compensator reaches the maximum is

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 20

The figure show the per-phase representation of a phase-shifting transformer connected between buses 1 and 2, where α is a complex number with non-zero real and imaginary parts.

For the given circuit, Ybus and Zbus are bus admittance matrix and bus impedance matrix, respectively, each of size 2 x 2. Which one of the following statements is true?

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 20

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 21

A phase-controlled, single-phase, full-bridge converter is supplying a highly inductive DC load. The converter is fed from a 230 V, 50 Hz, AC source. The fundamental frequency in Hz of the voltage ripple on the DC side is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 21

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 22

Let x and y be integers satisfying the following equations 

2x+ y2 = 34

x + 2y = 11

The value of ( x +y ) is ________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 22

Clearly x = 3 and y = 4 satisfies the given two equation

∴ x + y = 7

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 23

Consider a function f ( x, y, z ) given by

f(x,y,z) = (x2 + y2 -2z2) (x2 + y2 )

The partial derivative of this function with respect to x at the point, x = 2, y = 1 and z = 3 is


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 23

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 24

For the given 2-port network, the value of transfer impedance Z21 in ohms is_______


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 24

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 25

The initial charge in the 1 F capacitor present in the circuit shown is zero. The energy in joules transferred from the DC source until steady state condition is reached equals ______. (Give the answer up to one decimal place.)


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 25

Before initial charge on the capacitor = 0 ⇒ Vc ( 0 ) = 0V

Final voltage  V (α) = 10V
To find time constant τ

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 26

The figure below shows the circuit diagram of a controlled rectifier supplied from a 230 V, 50 Hz, 1-phase voltage source and a 10:1 ideal transformer. Assume that all devices are ideal. The firing angles of the thyristors T1 and T2 are 90o and 270o , respectively.

The RMS value of the current through diode D3 in amperes is _____


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 26

0A since D2 is OFF and it will not turn ON for R load.

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 27

In a load flow problem solved by Newton-Raphson method with polar coordinates, the size of the Jacobian is 100 x 100. If there are 20 PV buses in addition to PQ buses and a slack bus, the total number of buses in the system is ________.


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 27

Given the size of bus is 100*100.

so [J]= 100

we have formula for [J] = [2n-m-2] 100= [2n-20-2]

total no.of buses ,n = 61

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 28

A 3-phase, 4-pole, 400 V, 50 Hz squirrel-cage induction motor is operating at a slip of 0.02. The speed of the rotor flux in mechanical rad/sec, sensed by a stationary observer, is closest to

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 28

3 - Ø     S.C.I.M
4 - P      s = 0.02

400V      Ør ⇒ Nr
flux speed is same as stator flux speed.

Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 29

Two resistors with nominal resistance values R1 and R2 have additive uncertainties
ΔRand ΔR2 , respectively. When these resistances are connected in parallel, the standard deviation of the error in the equivalent resistance R is

Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 29

*Answer can only contain numeric values
Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 30

The nominal- π circuit of a transmission line is shown in the figure.

Impedance  and reactance X = 3300Ω . The magnitude of the characteristic impedance of the transmission line, in Ω , is _______________. (Give the answer up to one decimal place.)


Detailed Solution for Practice Test: Gate Electrical Engineering GATE 2017 Paper - Question 30

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