Practice Test: Gate Electrical Engineering GATE 2013 Paper - GATE MCQ

Complete the sentence:

Dare ____________ mistakes.

They were requested not to quarrel with others.

Which one of the following options is the closest in meaning to the word quarrel?

Q. No. 6 – 10 Carry Two Marks Each

A car travels 8 km in the first quarter of an hour, 6 km in the second quarter and 16km in the third quarter. The average speed of the car in km per hour over the entire journey is

 If the current changes from 3A to 5A in 2s and the emf is 10V. Calculate the inductance.

Statement: There were different streams of freedom movements in colonial India carried out by the moderates, liberals, radicals, socialists, and so on. Which one of the following is the best inference from the above statement?

The set of values of p for which the roots of the equation 3x² + 2x + p (p − 1) = 0 are of opposite sign is

What is the chance that a leap year, selected at random, will contain 53 Sundays?

Q. No. 11 – 35 Carry One Mark Each

Given a vector field  the line integral  evaluated along a segment on the x-axis from x=1 to x=2 is

The equation  has

Square roots of −i, where are

Three moving iron type voltmeters are connected as shown below. Voltmeter readings are V, V₁ and V₂ as indicated. The correct relation among the voltmeter readings is

Leakage flux in an induction motor is

The angle δ in the swing equation of a synchronous generator is the

Consider a delta connection of resistors and its equivalent star connection as  shown below.  If all elements of the delta connection are scaled by a factor k, k>0, the elements of the corresponding star equivalent will be scaled by a factor of 

A band-limited signal with a maximum frequency of 5 kHz is to be sampled. According to the sampling theorem, the sampling frequency in kHz which is not valid is

For a periodic signal v(t)=30sin 100t + 10cos 300t + 6 sin(500t+π/4), the fundamental frequency in radians/s is

A bulb in a staircase has two switches, one switch being at the ground floor and the other one at the first floor. The bulb can be turned ON and also can be turned OFF by any one of the switches irrespective of the state of the other switch. The logic of switching of the bulb resembles

The Bode plot of a transfer function G(s) is shown in the figure below.

The gain (20log|G(s)|) is 32 dB and -8 dB at 1 radians/s and 10 radians/s respectively. The phase is negative for all ω. Then G(s) is

In the feedback network shown below, if the feedback factor k is increased, then the

The input impedance of the permanent magnet moving coil (PMMC) voltmeter is infinite.  Assuming that the diode shown in the figure below is ideal, the reading of the voltmeter in Volts is 

The curl of the gradient of the scalar field defined by V = 2x²y+3y²z+4z²x is=

A continuous random variable X has a probability density function f(x) = e^-x , 0 < x < ∞, Then P{X > 1 } is

The flux density at a point in space is given by B = 4xa_x + 2kya_y + 8a_z Wb / m²  The value of constant k must be equal to 

A single-phase transformer has no-load loss of 64 W, as obtained from an open-circuit test.  When a short-circuit test is performed on it with 90% of the rated currents flowing in its both LV and HV windings, he measured loss is 81 W.  The transformer has maximum efficiency when operated at

A single-phase load is supplied by a single-phase voltage source. If the current flowing from the load to the source is 10∠ - 150° A and if the voltage at the load terminals is 100∠60°V , then the

A source V_s(t) = V cos100π t has an internal impedance of( 4+ j3). If a purely resistive load connected to this source has to extract the maximum power out of the source, its value in  should be

Two systems with impulse responses  h₁ (t) and h₂ (t) are connected in cascade. Then the overall impulse response of the cascaded system is given by