Practice Test: Gate Electrical Engineering GATE 2017 Paper - Electrical Engineering (EE) MCQ

After Rajendra Chola returned from his voyage to Indoneisa, he _______ to visit the temple in Thanjavur.

Rahul, Murali, Srinivas and Arul are seated around a square table. Rahul is sitting to the left of Murali. Srinivas is sitting to the right of Arul. Which of the following pairs are seated opposite each other?

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Q. No. 6 – 10 Carry Two Marks Each

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Six people are seated around a circular table. There are at least two men and two women. There are at least three right-handed persons. Every woman has a left-handed person to her immediate right. None of the women are right-handed. The number of women at the table is

The expression    is equal to.

A contour line joins locations having the same height above the mean sea level. The following is a contour plot of a geographical region. Contour lines are shown at 25m intervals in this plot. If in a flood, the water level rises to 525m. Which of the villages P,Q,R,S,T get submerged?

Arun, Gulab, Neel and Shweta must choose one shirt each from a pile of four shirts coloured red, pink, blue and white respectively. Arun dislikes the colour red and Shweta dislikes the colour white, Gulab and Neel like all the colours. In how many different ways can they choose the shirts so that no one has a shirt with a colour he or she dislikes?

“The hold of the nationalist imagination on our colonial past is such that anything inadequately or improperly nationalist is just not history.”

Which of the following statements best reflects the author‟s opinion?

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Q. No. 11 – 35 Carry One Mark Each

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Consider g(t) = 

Here, represents the largest integer less than or equal to t and  denotes the smallest integer greater than or equal to t. The coefficient of the second harmonic component of the Fourier series representing g(t) is _________.

A source is supplying a load through a 2-phase, 3-wire transmission system as shown in figure below. The instantaneous voltage and current in phase-a are V_an =220sin (100πt ) V and 
i_a = 10 sin(100πt)A, respectively. Similarly for phase-b the instantaneous voltage and current are  V_tm = 220cos(100πt )V and i_b = 10 cos(100πt)A, respectively.

The total instantaneous power flowing form the source to the load is 

A three-phase, 50Hz, star-connected cylindrical-rotor synchronous machine is running as a motor. The machine is operated from a 6.6 kV grid and draws current at unity power factor (UPF). The synchronous reactance of the motor is 30Ω per phase. The load angle is 30^o. The power delivered to the motor in kW is _______

For a complex number z,

Consider an electron, a neutron and a proton initially at rest and placed along a straight line such that the neutron is exactly at the center of the line joining the electron and proton. At t=0, the particles are released but are constrained to move along the same straight line. Which of these will collide first?

Let z ( t ) = x ( t )* y ( t ) , where " * " denotes convolution. Let C be a positive real-valued constant. Choose the correct expression for z (ct).

A 3-bus power system is shown in the figure below, where the diagonal elements of Y-bus matrix are Y11 = - j12pu, Y22 = - j15pu and Y33 = - j7pu The per unit values of the line reactances p, q and r shown in the figure are

The equivalent resistance between the terminals A and B is ____ Ω.

The Boolean expression  simplifies to

The following measurements are obtained on a single phase load:

If the power factor is calculated using these measurements, the worst case error in the calculated power factor in percent is ________. 

The transfer function of a system is given by,  Let the output of the system be 

v_o( t ) = V_m sin( ωt + φ) for the input v_i (t) = V sin(ωt) . Then the minimum and maximum 
values of φ (in radians) are respectively

The matrix  has three distinct eigenvalues and one of its eigenvectors is   Which one of the following can be another eigenvector of A?

For the power semiconductor devices IGBT, MOSFET, Diode and Thyristor, which one of the following statements is TRUE?

Consider the unity feedback control system shown. The value of K that results in a phase margin of the system to be 30^o is _______. 

A solid iron cylinder is placed in a region containing a uniform magnetic field such that the cylinder axis is parallel to the magnetic field direction. The magnetic field lines inside the cylinder will

where R is the region shown in the figure and c = 6 x 10^-4. The value of I equals________.

Consider the system with following input-output relation y[n] =  (1 + ( -1)n ) x [ n ]where, x[n] is the input and y[n] is the output. The system is 

The slope and level detector circuit in a CRO has a delay of 100 ns. The start-stop sweep generator has a response time of 50 ns. In order to display correctly, a delay line of

A 3-phase voltage source inverter is supplied from a 600V DC source as shown in the figure below. For a star connected resistive load of 20Ω per phase, the load power for 120^o device conduction, in kW is __________.

A closed loop system has the characteristic equation given by s³ + Ks² + ( K + 2 )s + 3 = 0. For this system to be stable, which one of the following conditions should be satisfied?