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This mock test of Electrical Engineering (EE) : Mock Test 5 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electrical Engineering (EE) : Mock Test 5 For GATE (mcq) to study with solutions a complete question bank.
The solved questions answers in this Electrical Engineering (EE) : Mock Test 5 For GATE quiz give you a good mix of easy questions and tough questions. GATE
students definitely take this Electrical Engineering (EE) : Mock Test 5 For GATE exercise for a better result in the exam. You can find other Electrical Engineering (EE) : Mock Test 5 For GATE extra questions,
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QUESTION: 1

**Question 1 to 5 carry One Mark each**

**Q.**

**Even as the ________else where in the world are struggling, to come out of recession, Indian consumers are splurging on consumer goods and to ____________this growth, companies are investing heavily in various sectors.**

Solution:

QUESTION: 2

In the olympic games, the flags of six nations were flown on the masts in the following way. T he flag of

America was to the left of Indian tricolor and to the right of the flag of france. T he flag of Australia was on

the right of the Indian flag but was to the left of the flag of Japan, which was to the left of the flag of China.

T he two flags which are in the centre is

Solution:

India and Australia

[France – America – India –Aus. –Japan – China]

QUESTION: 3

From the given equilateral triangle below A, B and C run along the sides in clockwise direction and stop after coming sides. Which of the following statements is true?

Solution:

QUESTION: 4

In the following questions, a sent ence has been given in direct/indirect speech.

Nitin said to me, “why don’t you come with us? why do you want to be so unsocial.

Solution:

QUESTION: 5

**Select the grammatical e rror part**

In order to transfer (a)/ branch licenses for one (b)/ bank to anot her you require special approval from RBI

(c)/ No error (d).

Solution:

QUESTION: 6

Question 6 to 10 carry Two Marks each

Q.

In an NGO, t he daily average wages of 20 illiterate employee is decreased from Rs. 25 to Rs. 10. T hus the

average salary of all the literate (educated) and illiterate employees is decreased by Rs. 10 perday. T he

number of educated employees working in the NGO is

Solution:

QUESTION: 7

Directi on for questi ons (7-8).

Answer the question with the help of the following table

Q.

The ratio of the percentage share of Dairy Milk to that of other is

Solution:

QUESTION: 8

**Answer the question with the help of the following table**

**Q.**

If in the next year, Crackle and Dairy Mill decided to join hands and increase their market share from their

combined existing share by 20%. What will be their combined production if the mark size remains the same?

Solution:

QUESTION: 9

Simple interest on a certain amount is 9/16 of the principle. If the number represent ing the rate of intersest in percent and time in years be equal. Then time, for when the principal is lent out is,

Solution:

QUESTION: 10

If A is a square matrix of order 3 and |A| =1/2. The A (a dj(A)) is

Solution:

QUESTION: 11

**Question 11 to 35 carry One Mark each**

**Q.**

**If the probability for A to fail in an examination is 0.2 and that for B is 0.3, then the probability that either A or B fails is**

Solution:

QUESTION: 12

Eigen value of unit ary matrix are always

Solution:

The eigen value of unitary matrix are always of unit modulus

QUESTION: 13

The linear approximat ion of e^{–x} in the neighbourhood of x = 2 is

Solution:

*Answer can only contain numeric values

QUESTION: 14

If , then the value of is

Solution:

QUESTION: 15

State equation of a cont rol system is given by

T he state transition matrix is .

Solution:

QUESTION: 16

he value of 'k' and 'a' to satisfy the frequency domain specification M_{r} = 1.04 and ω_{r} = 11.55 rad/sec is

Solution:

QUESTION: 17

The current waveform across a 8H inductor is

The voltage wareform is

Solution:

*Answer can only contain numeric values

QUESTION: 18

For the circuit shown in figure diode cut in voltage is V_{in} = 0. T he Ripple voltage to not more than V_{rip}= 4V.

The min load resistance(in k), that can be corrected to the output is

____________________

Solution:

*Answer can only contain numeric values

QUESTION: 19

A bidirectional 4-bit shift register is storing the nibble 1101. Its input is high. The nibble 1011 is waiting to be entered on the serial data-input line. After these clock pulses, t he shift register is storing (in binary system) _________________

Solution:

QUESTION: 20

Use of the reverse conducting thyristor in place of antiparallel combinat ion of thyristor and feedback

diode in an invert er

Solution:

QUESTION: 21

Consider a long two wire line composed of solid round-conductors. The radius of bot h conductors is 0.20 cm and the distance between their centres is 2m. If this distance is doubled, t hen the inductance per unit length

Solution:

Inductance per wait length =

μ = Permeability of material

D = Distance between their

cont res

r = Effective radius

L α lo D

If D is double, 1 will increase but does not double.

*Answer can only contain numeric values

QUESTION: 22

If the discharge voltage of a thyrit e arrester is 373 kV rms and the rated voltage is 211 kV rms. T he

discharge factor of the arrester is _______________

Solution:

*Answer can only contain numeric values

QUESTION: 23

The full load slip of a 3-phase squirrel cage induction motor is 0.05. The start ing current is 5 times the rated current . The ratio of start ing torque to full load torque is ____________

Solution:

QUESTION: 24

The volt age |V_{ab|} in the circuit given below is

__________________

Solution:

*Answer can only contain numeric values

QUESTION: 25

The common base amplifier is drawn as a two port in figure. The parameter are β= 100, g_{m} = 3mS, r_{0}= 800 k The h parameter h_{21} is

______________

Solution:

*Answer can only contain numeric values

QUESTION: 26

A 6 pole, 3-φ, 440V, 50 Hz induction motor has the rotor impedance of (0.2 + j1.6), the ratio of stator to

rotor turns is 1.79 and the full load slip is 0.06. T he full load torque is (in N-m) ______________

Solution:

*Answer can only contain numeric values

QUESTION: 27

A waveform shown in the figure below is read by AC ammeter. T he reading shown by the meter is

(in mA)

________________

Solution:

Reading of ac ammeter = rms valve

Where, α = duty cycle

Rms valve = 100 mA

QUESTION: 28

The NMOS transistor has If I_{D} = 0.4 mA &

V_{D} = 0.5V. T he values of R_{D} and R_{S} are respectively

Solution:

V_{D} = 0.5 is greater than V_{G}, this means nMOS operating in saturation

QUESTION: 29

A three phase half controlled bridge convert er in continuous conduction mode operat es at a firing angle of 45°, the power factor on the line side is

Solution:

QUESTION: 30

The Phase and gain margin margins of the system shown in figure wh ere k = 10 is

Solution:

QUESTION: 31

A feedback control system has an open loop transfer function of

The maximum range of k for the closed loop stability is

Solution:

QUESTION: 32

full converter is delivering a constant load current of 60 A at 230 V DC. T he average current of SCR's and r.m.s. current sourc e respectively

Solution:

*Answer can only contain numeric values

QUESTION: 33

A DC distribution system is shown in figure with load currents as marked. T he two ends of the feeder are

fed by voltage sources such that V_{P}, V_{Q} = 4V T he value of the voltage V_{Q} for a minimum voltage of 220V

at any point along the feeder is

___________________

Solution:

*Answer can only contain numeric values

QUESTION: 34

A 400V/100V, 10 kVA two winding transformer is reconnected as an autot ransformer across a suitable

voltage. The maximum rating of such a transformer could be (in k)

Solution:

QUESTION: 35

Two transformer with leakage impedance Z_{1} = 0.1 + j0.4 and Z_{2} = 0.05 + j0.2 are connected in parallel. T he ratio of load shared will

Solution:

T he sharing of load is inversely proportional to the impedance of the transformer.

*Answer can only contain numeric values

QUESTION: 36

**Question 36 to 65 carry Two Marks each**

**Q.**

**The modulus part of (1 + i) ^{8} is _____________**

Solution:

QUESTION: 37

The node voltage V_{1} and V_{2} of the given circuit is

Solution:

*Answer can only contain numeric values

QUESTION: 38

In a 3-phase, double layer winding with 9 slot s per pole. Phase spread is kept constant at 60° (electrical).

If the number of slots per pole is double t he new distortion factor will be times the old distribution factor

Solution:

QUESTION: 39

If the phase angle at gain crossover frequency is estimat ed to be –105°. T he value of phase margin of

the system is

Solution:

*Answer can only contain numeric values

QUESTION: 40

Consider the n-MOS common gate circuit. The parameter g_{m} = 2mS & r_{o}= ∞ T he voltage gain A_{V} is

____________________

Solution:

*Answer can only contain numeric values

QUESTION: 41

A chopper circuit shown below has input DC voltage of 200V and a load of In series with L = 80 mH. If load current varies linearly between 12A and 16A, then time ratio for this chopper is

____________________

Solution:

QUESTION: 42

The 8–input XOR circuit shown has an output of y = 1. Which input combination below (ordered A-H) is

correct?

Solution:

QUESTION: 43

f(x, y, z) = xy^{2} + yz^{3}, the directional derivative of f(x ,y, z) at t he point (2, –1, 1) in the direction of vector

Solution:

QUESTION: 44

If a vector is defined as The divergenc e of vector is

Solution:

QUESTION: 45

The thevenin equivalent of the given circuit cross AB is

Solution:

QUESTION: 46

How many times loop will excess?

Solution:

Loop exec ute if Z = 1 (Set)

0 time loop will be execute

QUESTION: 47

An impedance Z0 = (1 + j4) is connected in series with the secondary winding of an ideal transformer as

shown in the figure.

The value of series impedance when referred to the primary side is

Solution:

QUESTION: 48

The signal X(t) is

T he signal will be

Solution:

*Answer can only contain numeric values

QUESTION: 49

Using Sim pson’s 1/3rd rule with step size of 0.1, the value of is___________

Solution:

*Answer can only contain numeric values

QUESTION: 50

A 3-phase synchronous generator delivers 10 MVA at a voltage of 10.5 kV. T he line impedance is 5.

T he voltage drop in the line in per unit (in volts)

Use the reference base as 12 MVA at 11 kV.

_________________

Solution:

QUESTION: 51

A function number of prime implicants and minimized expression is

Solution:

QUESTION: 52

Consider the circuit shown given below. The transfer characteristics of circuit is repersented as a

Solution:

QUESTION: 53

A unit y feedback cont rol system whose open-loop transfer function is The rise time and settling time for tolerance 2% respect ively

Solution:

QUESTION: 54

The peak value of the output of the filter if the input pulse to the filter is shown below

Solution:

QUESTION: 55

The solution of the differential equation

Solution:

QUESTION: 56

The transfer characteristics of an FET is given by the parabola I_{DS} = 10 (VGS + 1)^{2}. If the input is

5cosω_{o}t. then variation of gm with time is given by

Solution:

QUESTION: 57

A three phase load of 3000 kVA, 0.8 p.f. is supplied at 11kV from a step-down transformer having a ratio 3:1. The primary side of transformer is connected to a transmision line, the constant s of which are resistance per conductor, 2 ohms, reactance per conducter, 3 ohms. T he resistance and reactance per phase of the primary windings of the transformer (which are star connected) are 5 and 10 respectively, and the corresponding value for the secondary winding (which are delta connected) are 1.5 ohms and 3 ohms respectively. The voltage and power factor at the sending end of the transmission line is

Solution:

*Answer can only contain numeric values

QUESTION: 58

In a reverse biased abrupt p-n junct ion doping concentrat ion N_{A} = 9 ×10^{16}/cm^{3} and N_{D} = 1 × 10^{16}/cm^{3}

respectively. In p-n junction total deplet ion layer width 3 μ_{m}. T he depletion width on p–side is

Solution:

*Answer can only contain numeric values

QUESTION: 59

In the circuit shown below OP-AMP is ideal. The total current (in mA) supplied by 20V voltage supply is

(Assume β of transistor very large)

________________

Solution:

*Answer can only contain numeric values

QUESTION: 60

The deflection of an elect ron beam on a CRT screen is 10mm. Suppose the pre-accelerating anode

voltage is halved and the potential between deflect ing plates is doubled, the deflection of the electron

beam will be (in mm) __________

Solution:

QUESTION: 61

Consider the given circuit & waveform for the input diode (cut in voltage V_{x}= 0)

The waveform of output V_{o} is

Solution:

QUESTION: 62

Consider the following circuits. From the below circuits. Which one will operate as AC voltage regulator?

Solution:

QUESTION: 63

The transfer function of the system whose asymptotic approximation is given in figure below, is

Solution:

QUESTION: 64

The Fourier transform of the signal

Solution:

QUESTION: 65

The magnitude current i (in A) at t = 5sec in the circuit given is

___________________

Solution:

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