Practice Test: Gate Electrical Engineering GATE 2016 Paper - GATE MCQ

Pick the odd one from the following options.

In a quadratic function, the value of the product of the roots (α, β) is 4. Find the value of

Q. 06 – Q. 10 carry two marks each.

Among 150 faculty members in an institute, 55 are connected with each other through Facebook^® and 85 are connected through WhatsApp^®. 30 faculty members do not have Facebook^® or WhatsApp^® accounts. The number of faculty members connected only through Facebook^® accounts is _________

Computers were invented for performing only high-end useful computations. However, it is no understatement that they have taken over our world today. The internet, for example, is ubiquitous. Many believe that the internet itself is an unintended consequence of the original invention. With the advent of mobile computing on our phones, a whole new dimension is now enabled. One is left wondering if all these developments are good or, more importantly, required.

Which of the statement(s) below is/are logically valid and can be inferred from the above paragraph?

(i) The author believes that computers are not good for us.
(ii) Mobile computers and the internet are both intended inventions.

All hill-stations have a lake. Ooty has two lakes.
Which of the statement(s) below is/are logically valid and can be inferred from the above sentences?

(i) Ooty in not a hill-station.
(ii) No hill-station can have more than one lake.

In a 2*4 rectangle grid shown below, each cell is a rectangle. How many rectangles can be observed in the grid?

Choose the correct expression for f(x) given in the graph.

Q. 11 – Q. 35 carry One mark each.

The maximum value attained by the function f(x) = x(x –1) (x –2) in the interval [1, 2] is _______

Number of parallel path in wave winding is:

The Laplace Transform of f(t) = e^2t sin(5t) u(t) is

A function y(t), such that y(0) = 1 and y(1) = 3e^–1, is a solution of the differential equation

 Then y(2) is

The value of the integral   over the contour |z| = 1, taken in the anticlockwise direction, would be

The transfer function of a system is   The steady state output y(t) is Acos(2t+) for the input cos(2t). The values of A and , respectively are

The phase cross-over frequency of the transfer function G(s) 100/(s+1)³ in rad /s is

Consider a continuous-time system with input x(t) and output y(t) given by y(t) = x(t) cos(t)
This system is

The value of  where δ(t) is the Dirac delta function is

A temperature in the range of –40°C to 55°C is to be measured with a resolution of 0.1°C. The minimum number of ADC bits required to get a matching dynamic range of the temperature sensor is

Consider the following circuit which uses a 2-to-1 multiplexer as shown in the figure below. The Boolean expression for output F in terms of A and B is

A transistor circuit is given below. The Zener diode breakdown voltage is 5.3 V as shown. Take base to emitter voltage drop to be 0.6 V. The value of the current gain β is __________.

In cylindrical coordinate system, the potential produced by a uniform ring charge is given by  = f(r, z), where f is a continuous function of r and z. Let  be the resulting electric field. Then the magnitude of

The power factor of pure resistive circuit is

RA and RB are the input resistances of circuits as shown below. The circuits extend infinitely in the direction shown. Which one of the statements is TRUE?

In a constant V/f induction motor drive, the slip at the maximum torque

In the portion of a circuit shown, if the heat generated in 5 resistance is 10 calories per second then heat generated by the 4? resistance, in calories per second, is _________

In the given circuit, the current supplied by the battery, in ampere, is ________.

In a 100 bus power system, there are 10 generators. In a particular iteration of Newton Raphson load flow technique (in polar coordinates), two of the PV buses are converted to PQ type. In this iteration.

The magnitude of three-phase fault currents at buses A and B power system are 10 pu and 8 pu, respectively. Neglect all resistances in the system and consider the pre-fault system to be unloaded. The pre-fault voltage at all buses in the system is 1.0 pu. The voltage magnitude at bus B during a three-phase fault at bus A is 0.8 pu. The voltage magnitude at bus A during a three-phase fault at bus B in pu, is ________.