Gate Mock Test: Electrical Engineering(EE)- 7

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

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?

Question 6 to 10 carry Two Marks each

Q.

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

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

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

The value of X in the following figure is

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

Question 11 to 35 carry One Mark each

Q.

 Value of a is ____________

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

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 ______________.

The C/R  of system shown in figure below is

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

 the velocity error is ______________

If for a 2 × 2 matrix a₁₁ = a₁₂ = a₂₁ = 1 and a₂₂ = –1. If the eigen values of A¹⁹ can be writ ten in
the form  , then value of a × b is __________________

T he solution of the differential equation  is

T he addresssing mode, as shown in figure, is

Laplace transform analysis helps in

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

Flash ADC is

In the common base stage of figure. I_CQ = 1mA and β = 7.5 T he input Resistance is

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)

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

The figure shows a dependent curren t source, it

Consider the circuit shown in figure

The power factor for the circuit shown is

Consider the transistor circuit shown below

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

Peak load power plant s are
P. Wind power plant s
Q. Pumped storage plant
R. Solar power plant
S. Hydro power plant s

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 _______________

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

Consider the following model of a JFET amplifier

Here I_DSS = 8mA & V_P = –4V the value of V_DS will be

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

Improved commutation in DC machine cannot be achieved by

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

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 = x² ,
y + x = 2 and x = 0.

___________________

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 ________________

If x + y = k is normal to y² = 12x, t hen k is ____________

The range of k such that fee dback con trol syst em h aving charact erist ic equat ion s ( s² + s + 1) (s + 4) + k = 0 will be stable is

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

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

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

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

___________________

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

Signal x(t) shown below can be represented as

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

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

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

The current I for the circuit shown below is

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 _____________________________

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 × 10³ kg/m². T he inert ia constant (H) will be

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

Consider a transistor circuit the value of  is

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) _____________

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

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

Which of the following statement is not correct?

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?

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) ______________

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 ________________

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

The value of current I₁ is ____________________

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

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________________

A series RL circuit has a constant voltage ‘V’ applied at t = 0. A t what time V_R = V_L