Test: GATE Electrical Engineering (EE) Previous Paper 2022 - Electrical Engineering (EE) MCQ

Given below are two statements and four conclusions drawn based on the statements. Statement I : Some bottles are cups.Statement II : All cups are knives.Conclusion I : Some bottles are knives.Conclusion II : Some knives are cups.Conclusion III : All cups are bottles.Conclusion IV : All knives are cups.Which one of the following options can be logically inferred?

The figure below shows the front and rear view of a disc, which is shaded with identical patterns. The disc is flipped once with respect to any one of the fixed axes 1-1, 2-2 or 3-3 chosen uniformly at random.What is the probability that the disc DOES NOT retain the same front and rear views after the flipping operation?

Altruism is the human concern for the well being of others. Altruism has been shown to be motivated more by social bonding, familiarity and identification of belongingness to a group. The notion that altruism may be attributed to empathy or guilt has now been rejected.Which one of the following is the CORRECT logical inference based on the information in the above passage?

There are two identical dice with a single letter on each of the faces . The following six letters : Q, R, S, T, U and V, one on each of the faces. Any of the six outcomes are equally likely.
The two dice are thrown once independently at random.
What is the probability that the outcomes on the dice were composed only of any combination of the following possible outcomes : Q, U and V?

The price of an item is 10% cheaper in an online store S compared to the price at another online store M. Store S charges Rs. 150 for delivery. There are no delivery charges for orders from the store M. A person bought the item from the store S and saved Rs. 100. What is the price of the item at the online store S (in Rs.) if there are no other charges than what is described above?

The letters P, Q, R, S, T and U are to be placed one per vertex on a regular convex hexagon, but not necessarily in the same order.Consider the following statements :

• The line segment joint R and S is longer than the line segment joining P and Q.

• The line segment joining R and S is perpendicular to the line segment joining P and Q.

• The line segment joining R and U is parallel to the line segment joining T and Q. Based on the above statements, which one of the following options is CORRECT?

An ant is at the bottom-left corner of a grid (point P) as shown below in the figure. It aims to move to the top-right corner of the grid. The ant moves only along the lines marked in the grid such that the current distance to the top-right corner strictly decreases. Which one of the following is a part of a possible trajectory of the ant during the movement?

The transfer function of a real system, H(s), is given as :
 

where A, B, C and D are positive constants. This system cannot operate as 

For an ideal MOSFET biased in saturation, the magnitude of the small signal current gain for a common drain amplifier is

The most commonly used relay, for the protection of an alternator against loss of excitation, is

The geometric mean radius of a conductor, having four equal strands with each strand of radius r, as shown in the figure below, is

The valid poistive, negative and zero sequence impedances (in p.u.), respectively, for a 220 kV, fully transposed three-phase transmission line, from the given choices are

The steady state output (V_out), of circuit shown below, will 

The Bode magnitude plot of a first order stable system is constant with frequency. The asymptotic value of the high frequency phase, for the system, is -180°. This system has

A balanced Wheatsone bridge ABCD has the following arm resistances : R_AB = 1 kΩ ± 2.1%; R_BC = 100 Ω ± 0.5%; R_CD is an unknown resistance; R_DA = 300Ω ± 0.4%. The value of R_CD and its accuracy is 

The open loop transfer function of a unity gain negative feedback system is given by . The range of k for which the system is stable, is 

Consider a 3 x 3 matrix A whose (i, j)-th element, a_i,j = (i - j)³. Then the matrix A will be

In the circuit shown below, a three-phase star-connected unbalanced load is connected to a balanced three-phase supply of 100√3 V with phase sequence ABC. The star connected load has Z_A = 10 Ω and Z_B = 20∠60⁰ Ω. The value of Z_c in Ω, for which the voltage difference across the nodes n and n' is zero, is

A charger supplies 100 W at 20 V for charging the battery of a laptop. The power devices, used in the converter inside the charger, operate at a switching frequency of 200 kHz. Which power device is best suited for this purpose?

A long conducting cylinder having a radius b is placed along the z-axis. The current density is for the region r < b where r is the distance in the radial direction.
The magnetic field intensity  for the region inside the conductor (i.e., for r < b ) is

The type of single-phase induction motor, expected to have the maximum power factor during steady state running condition, is

For the circuit shown below with ideal diodes, the output will be

A MOD-2 and a MOD-5 up-counter when cascaded together results in a MOD counter, (in integer).

An inductor having a O-factor of 60 is connected in series with a capacitor having a Q-factor of 240. The overall G-factor of the circuit i s ____ . (round off to nearest integer).

The network shown below has a resonant frequency of 150 kHz and a bandwidth of 600 Hz. The G-factor of the network is ___ . (round off to nearest integer).

The maximum clock frequency in MHz of a 4-stage ripple counter, utilizing flip-flops, with each flip-flop having a propagation delay of 20 ns, is ____ . (round off to one decimal place).

If only 5% of the supplied power to a cable reaches the output terminal, the power loss in the cable, in decibels, is ____ . (round off to nearest integer).