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Electrical Engineering (EE) Exam  >  Electrical Engineering (EE) Tests  >  GATE Electrical Engineering (EE) Mock Test Series 2025  >  Gate Practice Test: Electrical Engineering(EE)- 4 - Electrical Engineering (EE) MCQ

Gate Practice Test: Electrical Engineering(EE)- 4 - Electrical Engineering (EE) MCQ


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30 Questions MCQ Test GATE Electrical Engineering (EE) Mock Test Series 2025 - Gate Practice Test: Electrical Engineering(EE)- 4

Gate Practice Test: Electrical Engineering(EE)- 4 for Electrical Engineering (EE) 2024 is part of GATE Electrical Engineering (EE) Mock Test Series 2025 preparation. The Gate Practice Test: Electrical Engineering(EE)- 4 questions and answers have been prepared according to the Electrical Engineering (EE) exam syllabus.The Gate Practice Test: Electrical Engineering(EE)- 4 MCQs are made for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Gate Practice Test: Electrical Engineering(EE)- 4 below.
Solutions of Gate Practice Test: Electrical Engineering(EE)- 4 questions in English are available as part of our GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) & Gate Practice Test: Electrical Engineering(EE)- 4 solutions in Hindi for GATE Electrical Engineering (EE) Mock Test Series 2025 course. Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free. Attempt Gate Practice Test: Electrical Engineering(EE)- 4 | 65 questions in 180 minutes | Mock test for Electrical Engineering (EE) preparation | Free important questions MCQ to study GATE Electrical Engineering (EE) Mock Test Series 2025 for Electrical Engineering (EE) Exam | Download free PDF with solutions
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 1
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Choose the word or phrase which is nearest in meaning to the key word Lethargy

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 2
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The following question comprise two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words.
Break : Piece

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Gate Practice Test: Electrical Engineering(EE)- 4 - Question 3
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Replace the phrase printed in bold to make it grammatically correct ?
"Even though many companies" are now penetrating rural India, it would help to give India a real chance of witnessing a double digit GDP growth.

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 4
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Improve the sentence with suitable options by replacing the underlined word.

He is still in vigorous health although he is on the "right" side of sixty.
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 5
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Complete the given sentence by choosing the correct phrase. 

You will not succeed unless ________
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 5

You will not succeed unless you work hard

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 6
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Chirag decided to give 12% of his salary to his younger brother as a pocket money. But he gave 1260 Rs which was 60% of what he had decided earlier. How much is Chirag’s salary?
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 6
Let x be Chirag’s salary:
(0.12x) X 0.6 = 1260
x = 17500 Rs
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 7
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Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 7
t = 6 minutes
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 8
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A and B are required to solve a problem independently. If 1/2 and 1/3 are their respectively probabilities of solving the problem, then the probability that at least one of them solves the problem.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 8
Probability that at least one of them solves the problem = P
P = 1 – 1/2 X 2/3 = 2/3
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 9
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What is the probability that a leap year has 53 Sundays and 52 Mondays?
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 9
In leap year there are 366 days.
There are 52 weeks + 2 days
1. - Mon. + Tue.
2. - Tue. + Wed.
3. - Wed. + Thu.
4. - Thu. + Fri.
5. - Fri. + Sat.
6. - Sat. + Sun. ? 53 Sundays + 52 Mondays
7. - Sun. + Mon.
Probability = 1/7
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 10
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A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the interest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 10
Let  be the rate of interest:

r = 12% per annum
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 11
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When a lead-acid battery is in fully charged condition, the colour of its positive plate is
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 12
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Determine the value of load resistance ,so that it receive maximum power from the circuit.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 12
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 13
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A plant has the following transfer function, , For an unit step input determine the time required so that response will settle in 2% of its final value.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 13
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 14
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The open loop transfer function of an unity feedback control system is G(S) = ,What is the range of K so that closed loop system becomes stable ?
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 14
Characteristics equation
   =                K S(S 1) (S 5) = 0

Rough-array

So for stable system K > 0
and
30 – k > 0
k < 30
so 0 < k < 30
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 15
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Determine the peak inverse voltage that appear across the diode in the given circuit.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 15

 

During positive half cycle capacitor get charge and during negative half cycle the equivalent circuit is shown as
    so,    VD    =    VmSinωt
    so,     P1V    =    2Vm
    here,     Vm    =    10 volt,
    so,    P1V    =    20 volt

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 16
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Determine the power dissipated across the load resistance RL in the given circuit, assume diode is ideal.

 
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 16

Power dissipate across RL,
   
here,  Vrms  = 5/2

 so, 
 

    = 125 mW

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 17
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What is the load current IL in the circuit shown below:
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 17

Apply KCL at node V1,  
                 …..(1)

            Apply KCL at node V2,

                               …..(2)

            From equation (1) and (2)

                            

         Therefore,                    

                                                   = – 10mA 

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 18
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How many standard resistor are required to design a 3 bit flash type ADC? 
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 18

Number of resistor,                                 = 2n

                                                             = 23

                                                             = 8

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 19
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Determine the size of ROM required to implement a full-substractor.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 19

For full-substractor, the number of input variable is 3 and output function are 2

            So size of ROM,

            23 × 2

            8 × 2

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 20
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Determine the even part of the signal x(f) where x(t) = 4 Sin t
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 20

                                           x(t)       =      4 sint

            Since the above signal is an odd signal therefore, its even part is zero.

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 21
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An LTI system is characterized by difference equation y (n) = y (n-1) x (n). The impulse response of the system is : 
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 21

y(n)      =                         y(n – 1) x(n)

            ⇒                   

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 22
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Consider the signal x(t) = e-2t u(t). Let X(ω) denotes the Fourier transform of the signal, the value of the below equation is:  

 
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 22

Since,   , 

So, 

Therefore    

                 

                        = 2π

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 23
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In the given circuit, the forward threshold voltage of the diode is 0.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 23

Given   PDmax     =  21 mW

            So,   IDmax  =  21mW/0.7  = 30mA

For same operation,

     50 – 0.7 <= 30 R

    19.3  <= 30 R

   R >= 643

So, only option (b) is satisfied.

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 24
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When a bypass capacitor is connected across the emitter and resistance of a common-emitter BJT amplifier:
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 25
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An amplifier using an op-amp with a slew rate 1 V/μsec has a gain of 20 dB. If the peak value of sinusoidal input signal is 1 V then determine the maximum frequency of the input signal that can be amplify without any distortion.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 25

For distortion less output,

                                           2p fm Af Vm  <= S.R

                                                    

Here,                                           Af = 20dB

i.e,                                              Af = 10

 So,                                            

 

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 26
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The skin depth of copper at a frequency of 6GHz is 1μm, the skin depth at a frequency of 24 GHz would be :
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 26

Skin Depth, δ =

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 27
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If the current changes from 5A to 3A in 2 seconds and the inductance is 10H, calculate the emf.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 27

We know that:
emf=L(i2-i1)/t
Substituting the values from the question, we get emf=10V.

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 28
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What is the capacitance when Q = 60 C and V = 12 V?
Gate Practice Test: Electrical Engineering(EE)- 4 - Question 29
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The surge impedance of a 400 KV, 100 Km T-line is 300for a 200 Km length, the surge impedance will be.
Detailed Solution for Gate Practice Test: Electrical Engineering(EE)- 4 - Question 29

Because surge impedance of a T-line is independent on line length and frequency

Gate Practice Test: Electrical Engineering(EE)- 4 - Question 30
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The dielectric loss of a capacitor can be measured by which one of the following :
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