GATE Mock Test Electronics Engineering (ECE)- 7 - Electronics and Communication Engineering (ECE) MCQ

The number lock of a suitcase has 4 wheels, each labelled with ten digits, i.e. from 0 to 9. The lock opens with a sequence of four digits with no repeats. What is the probability of a person getting the sequence to open the suitcase?

Direction: In the question below are given statements followed by some conclusions. You have to take the given statements to be true even if they seem to be at variance with commonly known facts. Read all the conclusions and then decide which of the given conclusions logically follows from the given statements disregarding commonly known facts.

Statement:

1. No physics is maths.
2. Some chemistry is maths.
3. All sciences are chemistry.

Conclusion:

1. No science is physics.
2. Some physics are science.
3. Some physics are chemistry.

Directions: The table lists the size of building lots in the Orange Grove subdivision and the people who are planning to build on those lots. For each lot, installation of utilities costs $12,516. The city charges impact fees of $3,879 per lot. There are also development fees of 16.15 cents per square foot of land.

What approximate percentage is the area of the smallest lot listed, as compared to the area of the largest lot?

Direction: Two sentences with two blanks in each, followed by five alternatives with two words in each, are given. Choose that option as the answer which can fill both the blanks of both the sentences.

1. A sinking feeling of panic ________ over them and a temporary paralyzing fear engulfed them ________.

2. Being a cleanliness freak, she ________ the floor and went down to the market only after the house was _________ clean.

Directions: In the following question, a set of three figures X, Y and Z shows a sequence in which a paper is folded and finally cut from a particular section. Below these figures, a set of answer figures (a), (b), (c) and (d) shows the design which the paper actually acquires when it is unfolded. You have to select the answer figure which most closely resembles the unfolded piece of paper.

4 identical solid spheres are melted and re-formed into a solid hemisphere. Then, the ratio of the curved surface area of the hemisphere to half of the surface area of a single sphere is -

If prices are reduced by 20% and sales are increased by 15%, what is the net effect on gross receipts?

The bilateral Laplace transform of u (- t + 5) is

If |z| < 1, then Laurent series expansion of function is

If Where, C: circle x²+y²=16 then the value of F(6)is

Consider a ufb system with forward-path transfer function G (s) = . The system is stable for the range of K.

Which of the following is correct?

Three identical cascaded amplifier stages have an overall upper 3 dB frequency of 20KHz and a lower 3 dB frequency of 20Hz. What are fL and fH respectively. Assume non- interacting stages.

The characteristic equation of a closed-loop system is s(s + 1)(s + 2) + k = 0. The centroid of the asymptotes in root-locus will be (Answer up to the nearest integer)

The open loop transfer function of a unity feedback control system is given by

Find the value of ‘K’ at which the root locus diagram of the system intersects the imaginary axis.

Stability of a power system can be improved by:

1. Using series compensators

2. Using parallel transmission lines

3. Reducing voltage of transmission

Which of the above statements is/are correct?

A random variable x takes two values 0 and 1 with probability of x = 0is p. If x follows binomial distribution, then the mean and variance of number of 0's is given respectively by

A MUX network is shown below.

The function Z₁ is equal to 1 when

If a periodic signal x_p(t) has the Fourier coefficient X(k), and when the signal is delayed by 2sec its 5th harmonic gets delayed in phase by 0.1 radian, the fundamental frequency of the signal in milli rad/sec is

Assuming i = √ - 1 and t as a real number , is

The following waveform is to be quantized with a maximum of ± 0.5 Volts/sample error. What should be the space between quantization levels

If the base width of a bi-polar transistor is increased by a factor of 3, what is the collector current change?

Find the location of roots of characteristic equation and stability for closed loop system having characteristic equation as

S⁵+S⁴+4S³+4S²+4S+4=0

The value of the current measured by the ammeter in figure is

Z-Transform of a signal x[n] is given as

X(z) = 4/z²-25,|z|<5 The Z-Transform of y[n] = nx[n] is given as

(Az²)/(z²-25)^B then find the value of 'A+B'.

In the following circuit, the switch S is closed at t = 0. The rate of change of current di / dt (D⁺) is given by

If y(t) is the Hilbert Transform of x(t) = sinc(2t), where sin c(x) = sin(πx)/πx

Then find the value of

vector field is given by E = 4zy²u_x + 2y sin 2xu_y + y² sin 2xu_z. The surface on which E_y = 0 is