Practice Test: Gate Electrical Engineering GATE 2015 Paper - GATE MCQ

Based on the given statements, select the most appropriate option to solve the given question.
If two floors in a certain building are 9 feet apart, how many steps are there in a set of stairs that extends from the first floor to the second floor of the building?

Statements:

(I) Each step is ¾ foot high.

(II) Each step is 1 foot wide.

Didn't you buy ________ when you went shopping?

Q. No. 6 – 10 Carry Two Marks Each

The given statement is followed by some courses of action. Assuming the statement to be true, decide the correct option.

Statement:

There has been a significant drop in the water level in the lakes supplying water to the city.

Course of action:

(I) The water supply authority should impose a partial cut in supply to tackle the situation.

(II) The government should appeal to all the residents through mass media for minimal use of water.

(III)The government should ban the water supply in lower areas.

The number of students in a class who have answered correctly, wrongly, or not attempted each question in an exam, are listed in the table below. The marks for each question are also listed. There is no negative or partial marking.

What is the average of the marks obtained by the class in the examination?

The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5:4. There are 40 males in Electrical Engineering. What is the difference between numbers of female students in the Civil department and the female students in the Mechanical department?

Select the alternative meaning of the underlined part of the sentence.
The chain snatchers "took to their heels" when the police party arrived.

The probabilities that a student passes in Mathmatics, Physics and Chemistry are m,p, and c respectively. Of these subjects, the student has 75% chance of passing in at least one, a 50% chance of passing in at least two and a 40% chance of passing in exactly two. Following relations are drawn in m, p, c:

(I) p + m + c = 27/20

(II) p + m + c = 13/20

(III) (p) * (m) * (c) = 1/10

A moving average function is given by  f the input u is a sinusoidal signal of frequency  then in steady state, the output y will lag u (in degree) by ________.

Consider a one-turn rectangular loop of wire place in a uniform magnetic field as shown in the figure. The plane of the loop is perpendicular to the field lines. The resistance of the loop is 0.4, and its inductance is negligible. The magnetic flux density (in Tesla) is a function of time, and is given by B t 0.25sinωt, where 2π*50 radian/second. The power absorbed (in Watt) by the loop from the magnetic field is __________.

If the sum of the diagonal elements of a 2 × 2 matrix is -6, then the maximum possible value of determinant of the matrix is ________.

When the Wheatstone bridge shown is used to find value of resistance R_x, the Galvanometer G indicates zero current when R₁=50, R₂₌65 & R₃₌100. If R₃ is known with +5% tolerance on its nominal value of 100, what is range of R_x in ohms?

For the given circuit the Thevenin equivalent is to be determined. The Thevenin voltage, VTh (in volt), seen from terminal AB is _________.

The impulse response g(t) of a system, G, is as shown in Figure (a). What is the maximum value attained by the impulse response of two cascaded blocks of G as shown in Figure (b)?

Base load power plants are

P: wind farms.

Q: run-of-river plants.

R: nuclear power plants.

S: diesel power plants

Of the four characteristic given below, which are the major requirements for an instrumentation amplifier?

P: High common mode rejection ratio

Q: High input impedance

R: High linearity

S: High output impedance

A random variable X has probability density function f(x) as given below:

Consider a function , where r is the distance from the origin and  is the unit vector in the radial direction. The divergence of the function over a sphere of radius R, which includes the origin, is

A separately excited DC generator has an armature resistance of 0.1Ω and negligible armature inductance. At rated field current and rated rotor speed, its open-circuit voltage is 200 V. When this generator is operated at half the rated speed, with half the rated field current, an un-charged 1000 μF capacitor is suddenly connected across the armature terminals. Assume that the sped remains unchanged during the transient. At what time (in microsecond) after the capacitor is connected will the voltage across it reach 25 V?

In the following chopper, the duty ratio of switch S is 0.4. If the inductor and capacitor are sufficiently large to ensure continuous inductor current and ripple free capacitor voltage, the charging current (in Ampere) of the 5 V battery, under steady-state, is ________.

If a continuous function f(x) does not have a root in the interval [a, b], then which one of the following statements is TRUE?

The primary mmf is least affected by the secondary terminal conditions in a

Consider a HVDC link which uses thyristor based line-commutated converters as shown in the figure. For a power flow of 750 MW from System 1 to System 2, the voltages at the two ends, and the current, are given by: V₁ =500 kV, V₂ =485 kV and I=1.5 kA. If the direction of power flow is to be reversed (that is, from System 2 to System 1) without changing the electrical connections, then which one of the following combinations id feasible?

If power is to be reversed

An inductor is connected in parallel with a capacitor as shown in the figure.

As the frequency of current i is increased, the impedance (Z) of the network varies as

For the signal-flow graph shown in the figure, which one of the following expressions is equal to the transfer function 

The voltages developed across the 3Ω and 2Ω resistors shown in the figure are 6V and 2V respectively, with the polarity as marked. What is the power (in Watt) delivered by the 5V voltage source?

The self inductance of the primary winding of a single phase, 50 Hz, transformer is 800 mH, and that of the secondary winding is 600 mH. The mutual inductance between these two windings is 480 mH. The secondary winding of this transformer is short circuited and the primary winding is connected to a 50 Hz, single phase, sinusoidal voltage source. The current flowing in both the winding is less than their respective rated currents. The resistance of both windings can be neglected. In this connection, what is the effective inductance (in mH) seen by the source?

A Bode magnitude plot for the transfer function G(s) of a plant is shown in the figure. Which one of the following transfer functions best describes the plant?