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This mock test of Electrical Engineering (EE) : Mock Test 6 For GATE for GATE helps you for every GATE entrance exam.
This contains 65 Multiple Choice Questions for GATE Electrical Engineering (EE) : Mock Test 6 For GATE (mcq) to study with solutions a complete question bank.
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QUESTION: 1

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

**Q.**

**According to the weather______it is going to be cloudly today**

Solution:

QUESTION: 2

What is the unit digit in

Solution:

QUESTION: 3

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

She said, “Let them play”.

Solution:

QUESTION: 4

Select the pair that best express relationship similar to that expressed in the pair.

Light : Glint

Solution:

QUESTION: 5

A and B together can do a piece of work in 12 days, which B and C together can do in 16 days. Aft er A has

been working it for 5 days and B for 7 days, C finishes it in 13 days. In how many days C alone will do the

work?

Solution:

QUESTION: 6

**Question 6 to 10 carry Two Marks each**

**Q.**

**The sufficient condition for matrix ‘A’ to be diagonalizable is**

Solution:

QUESTION: 7

If x = y^{a} , y = z^{b} and z = x^{c} then abc = ?

Solution:

QUESTION: 8

Out of the four alternatives suggested select the one which is correct

Solution:

QUESTION: 9

The value of X in the following figure is

Solution:

QUESTION: 10

The piechart shows the distribution of New York market share by value of different computer companies in 2005.

T he piechart shows the distribution of New York market share by volume of different computer companies

in 2005.

Number of units sold in 2005 in New York = 1,500

Value of units sold in 2005 in New York = US$ 16,50,000

Solution:

*Answer can only contain numeric values

QUESTION: 11

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

**Q.**

** Value of a is ____________**

Solution:

QUESTION: 12

i^{i }is of the form, where (i= sqrt {-1})

Solution:

*Answer can only contain numeric values

QUESTION: 13

6 boys and 6 girls sit in a row randomly. The probability that all the six girls sit together is in the form 1/a. Value of a is ______________.

Solution:

QUESTION: 14

The C/R of system shown in figure below is

Solution:

*Answer can only contain numeric values

QUESTION: 15

For a unit y feedback system whose open - loop transfer function is

the velocity error is ______________

Solution:

*Answer can only contain numeric values

QUESTION: 16

If for a 2 × 2 matrix a_{11} = a_{12} = a_{21} = 1 and a_{22} = –1. If the eigen values of A^{19} can be writ ten in

the form , then value of a × b is __________________

Solution:

QUESTION: 17

T he solution of the differential equation is

Solution:

QUESTION: 18

T he addresssing mode, as shown in figure, is

Solution:

QUESTION: 19

Laplace transform analysis helps in

Solution:

QUESTION: 20

PMMC instrument produces a deflection of 90° when a current of 2 mA passes through the moving coil.

T he instrument is spring cont rolled. Supposing the instrument is redesigned with its spring constant as

before and its p ermanent magnet is replaced with a new permanent magnet which pr oduces twice t he

flux density as before. What would be t he deflect io n if a current of 1 mA is passed through the coil.

T he other features of the PMM C instrument remain the same

Solution:

QUESTION: 21

Flash ADC is

Solution:

QUESTION: 22

In the common base stage of figure. I_{CQ} = 1mA and β = 7.5 T he input Resistance is

Solution:

*Answer can only contain numeric values

QUESTION: 23

Two point charge 1 μC and 4 μC are placed at (–2, 1, 5) and (1, 3, –1) respectively. T he energy stored

in the field will be (in mJ)

Solution:

QUESTION: 24

The contents of F register in 8085 are 01010001. T his means

Solution:

QUESTION: 25

The figure shows a dependent curren t source, it

Solution:

QUESTION: 26

Consider the circuit shown in figure

Solution:

QUESTION: 27

The power factor for the circuit shown is

Solution:

QUESTION: 28

Consider the transistor circuit shown below

The average power dissipated for one cycle of operation is given by

Solution:

QUESTION: 29

Peak load power plant s are

P. Wind power plant s

Q. Pumped storage plant

R. Solar power plant

S. Hydro power plant s

Solution:

*Answer can only contain numeric values

QUESTION: 30

A transformer is rat ed at 11 kV/0.4 kV, 500 kVA, 5% reactance. Determine the short circuit MVA of

the transformer when connected to an infinit e bus _______________

Solution:

Since t he t ransformer is connected to an infinite bus, the p.u. impedance of the circuit will be 0.05. i.e. the p.u. im pedance offered by the transformer

QUESTION: 31

A transformer has 2% resistance and 5% reactance. T he volt age regulation at full load 0.8 power factor

lagging

Solution:

QUESTION: 32

Consider the following model of a JFET amplifier

Here I_{DSS} = 8mA & V_{P} = –4V the value of V_{DS} will be

Solution:

QUESTION: 33

If in a 1-phase bridge network one of the thyristor is open circuited, then the average output volt age is

Solution:

QUESTION: 34

Improved commutation in DC machine cannot be achieved by

Solution:

QUESTION: 35

A stepper motor makes 200 steps per revolution. It is running at 500 steps/sec. The speed in r.p.m. is

Solution:

*Answer can only contain numeric values

QUESTION: 36

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

**Q.**

**The value of where R is the r egion in the first quadrant bounded by the curves y = x ^{2} ,
y + x = 2 and x = 0.**

**___________________**

Solution:

*Answer can only contain numeric values

QUESTION: 37

For we have y = 1 at x = 0. By using Euler met hod and taking the step size 0.1. T he value

of y at x = 0.4 is ________________

Solution:

*Answer can only contain numeric values

QUESTION: 38

If x + y = k is normal to y^{2} = 12x, t hen k is ____________

Solution:

x + y = k is normal t o the curve slope = 1

QUESTION: 39

The range of k such that fee dback con trol syst em h aving charact erist ic equat ion s ( s^{2} + s + 1) (s + 4) + k = 0 will be stable is

Solution:

QUESTION: 40

Which unit is adopted for magnit ude measurement in Bode plots?

Solution:

QUESTION: 41

T he Laplace transformation of e^{at} cosh(bt) is

Solution:

QUESTION: 42

The transfer funct ion whose approximate plot is shown in figure is

Solution:

*Answer can only contain numeric values

QUESTION: 43

For a unity feedback system with , the value of centroid would be

___________________

Solution:

QUESTION: 44

First derivative of th e signal x(t ) will be

Solution:

QUESTION: 45

Signal x(t) shown below can be represented as

Solution:

QUESTION: 46

If memory chip size is 256 × 1 bits, the n umber of chips required 1 k byt e memory is

Solution:

QUESTION: 47

The mininized version of logic c ircuit shown in figure below is

Solution:

QUESTION: 48

In order to increase the differential input resistance of a bipolar transistor OP-Amp

Solution:

QUESTION: 49

The current I for the circuit shown below is

Solution:

*Answer can only contain numeric values

QUESTION: 50

A power system has 200 buses has 200 buses including 15 generator buses. For the load flow

analysis using Newton-Raphson method in polar co-ordinalies, t he size of the jacobian is p × Q. then

P + Q is _____________________________

Solution:

QUESTION: 51

A 400 MW, 22 kV, 50Hz, 3- phase 4- pole synchronous generator having a rat ed p.f = 0.8, has a

moment of inertia 27.5 × 10^{3} kg/m^{2}. T he inert ia constant (H) will be

Solution:

QUESTION: 52

The basic circuit of circulating current system of protection is shown in t he figure, that improve the

fault stability, a stabilizing resistor is connected the points

Solution:

QUESTION: 53

Consider a transistor circuit the value of is

Solution:

*Answer can only contain numeric values

QUESTION: 54

A 230 V single phase full converter is feeding a RLE load R = 15, L = 100 mH, and E = 70V. If the average load current is 5A, then the firing angle delay is (in degree) _____________

Solution:

QUESTION: 55

The gain of the convert er shown is, switch connected to 1 and 1' while octcton and moved to 2 and 2'. When

Solution:

QUESTION: 56

An iron ring of mean length 50 cm has an air gap of 1 mm and a winding of 200 turns. If the permeability of

the iron is 300 when a current of 1A flows through the coil. The flux density is

Solution:

QUESTION: 57

Which of the following statement is not correct?

Solution:

QUESTION: 58

A 500 kVA transformer has an efficiency of 95% at full load and also at 60% of full load bot h at UPF then

which of the following is true?

Solution:

*Answer can only contain numeric values

QUESTION: 59

An 8-pole DC machine has a rated current of 100A. If the armature is duplex lap wound, then the amount of

current that will flow in each path at rated conditions is (in Amps) ______________

Solution:

Duplex lap wound, t he refore t he number of paths A = mp

= 2 × 8 = 16 paths

Current per each path = 100/16

= 6.25A

*Answer can only contain numeric values

QUESTION: 60

An SCR with heat sink arrangment has ambient temperature of 50°C and junction temperature of 100°C and the average power dissipated of 50 W. If the junction temperature is reduced to 70°C, t hen the percentage reduction in thermal resistance is ________________

Solution:

QUESTION: 61

For a 10 MVA, 132 kV/6.6 kV power transformer with delta-star connections, for the differential

prot ection scheme to circulate a current of 5A in the pilot wires. T he current transformer on HV

side, is

Solution:

*Answer can only contain numeric values

QUESTION: 62

The value of current I_{1} is ____________________

Solution:

QUESTION: 63

A capacitor is added to the portion of the resistance of a multiplier in order to make the pressure coil

circuit non-inductive. T he value of resistance is r while the tot al resistance and inductance of pressure

circuit are respect ively R_{P} and L. T he value of capacitance C is

Solution:

*Answer can only contain numeric values

QUESTION: 64

A single phase bridge inverter delivers power to a series connected RLC load with R = 2, and ωL = 10.

The periodic time T = 0.1 msec. Take circuit turn off time as 1.5 times t_{OFF}. Assume the load current

contains only fundamental component . The value of C (in μF) for turn off time 10μsec, is________________

Solution:

QUESTION: 65

A series RL circuit has a constant voltage ‘V’ applied at t = 0. A t what time V_{R} = V_{L}

Solution:

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