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GATE 2019: Topper Mini Mock 1 (App update required to attempt this test)

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Question 1

An op-amp has a differential gain, Ad = 2500, and input voltages of 40 mV and 30 mV are applied to it. If the value of CMRR is 500, determine the output voltage.

Question 2

The voltage gain A, of the circuit shown in below is

Question 3

The open loop transfer function of a unity feedback control system is

The value of K at the breakaway point of the feedback control system’s root locus plot is ……………..

Question 4

Given a unity feedback system with open loop transfer function given as:

Find the value of K for which damping ratio of the system is 0.6

Question 5

The frequency of the clock signal applied to the rising edge triggered D flip-flop shown in the following figure is 10 kHz. The frequency of the signal available at Q is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-EE-ME-19-Mar\GATE-EE-2002_files\image019.jpg

Question 6

The digital circuit shown in figure generates a modified clock pulse at the output. Choose the correct output waveform form the options given below.

Question 7

A 3 hp induction motor with full-load efficiency and power factor of 0.83 and 0.8 respectively, has a short circuit current of 3.5 times full load current. _____ is the line current at the instant of starting the motor from a 500 V supply by means of a star-delta switch. Ignore the magnetizing current.

Question 8

A 230V, 15 kW ,1000rpm shunt motor with armature resistance of 0.50 Ω, has a rated line current of 72 A and a rated field current of 2.2 A. The change in field flux (in %) required to obtain a speed of 1800 rpm while drawing a line current of 54.6 A and a field current of 1.8 A is

Question 9

A coil of 300 turns is wound on a non-magnetic core having a mean circumference of 300mm and a cross-sectional area of 300 mm2. The inductance of the coil corresponding to a magnetizing current of 3A will be (Given that μ0 = 4π × 10–7 H/m)

Question 10

Given the potential functions in free space to be the magnitude (in volts/metre) and the direction of the electric field at a point (1, -1, 1), where the dimensions are in the metres, are

Question 11

Determine the frequency of the signal, as displayed on the screen of the oscilloscope.

The time/div control is set to 1 µs/div.

Question 12

Determine the value of multiplier resistance on 100 V range of a dc voltmeter of sensitivity 2 kΩ/V, and the internal resistance of meter is 250 Ω.

Question 13

In the given circuit, determine the source voltage such that maximum power of 108W is absorbed by R.

Question 14

Determine the value of the load resistance such that maximum power is delivered to the load.

Question 15

A six pulse cyclo-converter, fed from 3-phase, 400 V, 50 Hz source, is delivering a load current of 40 A to a single-phase resistive load. The source has an inductance of 1.2 mH per phase. The rms value of load voltage for firing angle delay of 0 ° is _________.

Question 16

In sinusoidal PWM, there are ‘m’ cycles of the triangular carrier wave in the half cycle of reference sinusoidal signal. If zero of the reference sinusoid coincides with zero of the triangular carrier wave, then number of pulses generated in each half cycle are

Question 17

The power factor of a 120 kW group load is 0.8 lagging. This p.f. is to be improved to 0.9 by means of shunt capacitors. The KVAR of capacitors required is -------- KVAR.

Question 18

A typical line has the following parameters;
A = D = 0.96 1.0 ° and B = 100 80 Ω
The maximum power that can be transmitted if the sending and receiving end line voltages are 120 kV and 110 kV respectively is -------MW.

Question 19

Let be a continuous time signal Signal x (t)
 is applied as input to a system whose impulse response is The output of the system is y(t), then the value of y(t) at t=2 is _________.

Question 20

The z-transform of the function is

Question 21

The value of the contour integral in the complex-plane

Along the contour |Z| = 3, taken counter-clockwise is

Question 22

Winter is here, Jon Snow is too afraid of white walkers and needs help from Queen Dany. Queen Dany giving dragonstone to Jon Snow and Jon bending the knee are independent events. The sum of probabilities of Jon getting dragonstone given that he doesn’t bend the knee and Jon bending the knee given that he doesn’t get the dragonstone is 0.7. Also, the probability of Jon neither getting dragonstone nor bending the knee is 0.42. What is the sum of probabilities that Jon bends the knee?

Question 23

A person decides to toss a fair coin repeatedly until he gets a head and then he stops. There is a condition that he will make at most 3 tosses.
Let the random variable Y denote the number of heads. The value of var {Y}, where var {.} denotes the variance, equals

Question 24

Three friends, R, S and T shared toffee from a bowl. R took 1/3rd of the toffees, but returned four to the bowl. S took 1/4th of what was left but returned three toffees to the bowl. T took half of the remainder but returned two back into the bowl. If the bowl had 17 toffees left, how many toffees were originally there in the bowl?

Question 25

The number of roots of in the range [-5,5] is
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