Practice Test: Gate Electrical Engineering GATE 2014 Paper - GATE MCQ

What is the average of all multiples of 10 from 2 to 198?

The value of  

Q.No. 6 – 10 Carry Two Marks Each

The old city of Koenigsberg, which had a German majority population before World War 2, is now called Kaliningrad. After the events of the war, Kaliningrad is now a Russian territory and has a predominantly Russian population. It is bordered by the Baltic Sea on the north and the countries of Poland to the south and west and Lithuania to the east respectively. Which of the statements below can be inferred from this passage?

The number of people diagnosed with dengue fever (contracted from the bite of a mosquito) in north India is twice the number diagnosed last year. Municipal authorities have concluded that measures to control the mosquito population have failed in this region.
Which one of the following statements, if true, does not contradict this conclusion?

If x is real and    then possible values of  include

The ratio of male to female students in a college for five years is plotted in the following line graph. If the number of female students doubled in 2009, by what percent did the number of male students increase in 2009?

At what time between 6 a.m. and 7 a.m will the minute hand and hour hand of a clock make an angle closest to 60°?

Q.No. 11 – 35 Carry One Mark Each

Which one of the following statements is true for all real symmetric matrices?

Consider a dice with the property that the probability of a face with n dots showing up is proportional to n. The probability of the face with three dots showing up is_________.

Maximum of the real valued function f(x)= (x −1)^2/3 occurs at x equal to

All the values of the multi-valued complex function 1ⁱ, where i= √1 , are

Consider the differential equation  Which of the following is a solution to this differential equation for x > 0?

Two identical coupled inductors are connected in series. The measured inductances for the two possible series connections are 380μH and 240μH . Their mutual inductance in μH is ________

The switch SW shown in the circuit is kept at position ‘1’ for a long duration. At t = 0+, the switch is moved to position ‘2’ Assuming |V₀₂| > |V₀₁| , the voltage V_c (t) across capacitor is

A parallel plate capacitor consisting two dielectric materials is shown in the figure. The middle dielectric slab is place symmetrically with respect to the plates.

If the potential difference between one of the plates and the nearest surface of dielectric interface is 2Volts, then the ratio is

Consider an LTI system with transfer function If the input to the system is cos(3t) and the steady state output is Asin(3t + α), then the value of A is

Consider an LTI system with impulse response h(t) = e^-5t u (t). If the output of the system is  then the input, x(t), is given by

Assuming an ideal transformer,. The Thevenin’s equivalent voltage and impedance as seen from the terminals x and y for the circuit in figure are

A single phase, 50kVA, 1000V/100V two winding transformer is connected as an autotransformer as shown in the figure. The kVA rating of the autotransformer is

A three-phase, 4pole, self excited induction generator is feeding power to a load at a frequency f₁. If the load is partially removed, the frequency becomes f₂. If the speed of the generator is maintained at 1500 rpm in both the cases, then

A single phase induction motor draws 12 mW power at 0.6 lagging power. A capacitor is connected in parallel to the motor to improve the power factor of the combination of motor and capacitor to 0.8 lagging. Assuming that the real and reactive power drawn by the motor remains same as before, the reactive power delivered by the capacitor in MVAR is ____________.

A three phase star-connected load is drawing power at a voltage of 0.9 pu and 0.8 power factor lagging. The three phase base power and base current are 100MVA and 437.38A respectively. The line-to line load voltage in kV is ___________.

Shunt reactors are sometimes used in high voltage transmission system to

The closed-loop transfer function of a system is  The steady state error due to unit step input is ________.

The state transition matrix for the system

The saw-tooth voltage wave form shown in the figure is fed to a moving iron voltmeter. Its reading would be close to ______________

While measuring power of a three-phase balanced load by the two-wattmeter method, the readings are 100W and 250 W. The power factor of the load is ______________.