Test: GATE Electrical Engineering (EE) Previous Paper 2019 - Electrical Engineering (EE) MCQ

It takes two hours for a person X to mow the lawn. Y can move the same lawn in four hours. How long (in minutes) will it take X and Y, if they work together to move the lawn?

I am not sure if the bus that has been booked will be able to ____ all the students.

Given two sets X = {1, 2, 3} and Y = {2, 3, 4}, we construct a set Z of all possible fractions where the numerators belong to set X and the denominators belong to set Y. The product of element having minimum and maximum values in the set Z is __________.

The ratio of the number of boys and girls who participated in an examination is 4 : 3. The total percentage of candidates who passed the examination is 80 and the percentage of girls who passed is 90. The percentage of boys who passed is __________

An award-winning study by a group of researchers suggests that men are as prone to buying on impulse as women feel more guilty about shopping.

Which one of the following statements can be inferred from the given text?

How many integers are there between 100 and 1000 all of whose digits are even?

Consider five people – Mita, Ganga, Rekha, Lakshmi and Sana. Ganga is taller than both Rekha and Lakshmi. Lakshmi is taller than Sana. Mita is taller than Ganga.
Which of the following conclusions are true?
1. Lakshmi is taller than Rekha
2. Rekha is shorter than Mita
3. Rekha is taller than Sana
4. Sana is shorter than Ganga

The mean-square of a zero-mean random process is  where k is Boltzmann’s constant, T is the absolute temperature, and C is capacitance. The standard deviation of the random process is 

The characteristic equation of a linear timeinvariant (LTI) system is given by 
∆(s) = s⁴ + 3s³ + 3s² + s + k = 0.
The system is BIBO stable if

The inverse Laplace transform of   for ≥ 0 is 

A 5 kVA, 50 V/100 V, single-phase transformer has a secondary terminal voltage of 95 V when loaded. The regulation of the transformer is

A three-phase synchronous motor draws 200 A from the line at unity power factor at rated load. Considering the same line voltage and load, the line current at power factor of 0.5 leading is

A cv-axial cylindrical capacitor shown in Figure (i) has dielectric with relative permittivity εr1 = 2. When one-fourth portion of the dielectric is replaced with another dielectric of relative permittivity εr2, as shown to Figure (ii), the capacitance is doubled. The value of εr₂ is _________.

The parameter of an equivalent circuit of a three-phase induction motor affected by reducing the rms value of the supply voltage at the rated frequency is

The output response of a system is denoted as y(t), and its Laplace transform is given by

The steady state value of y(t) is 

The open loop transfer function of a unity feedback system is given by 
In G(s) plane, the Nyquist plot of G(s) passes through the negative real axis at the point 

A current controlled current source (CCCS) has an input impedance of 10 Ω and output impedance of 100 kΩ. When this CCCS is used in a negative feedback closed loop with a loop gain of 9, the closed loop output impedance is

A six-pulse thyristor bridge rectifier is connected to a balanced three-phase, 50 Hz AC source. Assuming that the DC output current of the rectifier is constant, the lowest harmonic component in the AC input current is

The current I flowing in the circuit shown below in amperes (round off to one decimal place) is ___________.

The partial differential equation

Which one of the following function is analytic in the region |z| ≤ 1?

If f = 2x³ + 3y² + 4z, the value of line integral  C grade f . dr evaluated over contour C formed by the segments (-3, -3, 2) → (2, -3, 2) → (2, 6, 2) → (1, 6, -1) is

Five alternators each rated 5 MVA, 13.2 kV with 25% of reactance on its own base are connected in parallel to a busbar. The short-circuit level in MVA at the busbar is ___________.

Given V_gs is the gate-source voltage, V_ds is the drain voltage, and V_th is threshold voltage of an enhancement type NMOS transistor, the conditions for transistor to be biased in saturation are

The total impedance of the secondary winding, leads, and burden of a 5 A CT is 0.01 Ω. If the fault current is 20 times the rated primary current of the CT, the VA output of the CT is ___________.

The Y_bus matrix of a two-bus power system having two identical parallel lines connected between them in pu is given as

The magnitude of the series reactance of each line in pu (round off up to one decimal place) is ___________.

The rank of the matrix, is__________.