GATE Mock Test Electronics Engineering (ECE)- 10 - Electronics and Communication Engineering (ECE) MCQ

The probability that a man will live 10 more years is 1/4 and the probability that his wife will live 10 more years is 1/3. The probability that neither of them will be alive in 10 years is

Following bar chart provides the percentage of Adult Males, Adult Females and Children out of total population in five colonies A, B, C, D and E

If total number of residents in colonies A, B and C are 1250, 2050 and 1800 respectively, then what is the total number of adult females in colonies A, B and C together?

Voting is the privilege for which wars have been fought, protests have been organized, and editorials have been written. "No taxation without representation," was a battle cry of the American Revolution. Women struggled for suffrage, as did many minorities. Eighteen year olds clamored for the right to vote, saying that if they were old enough to fight in the war, then they should be allowed to vote. Yet Americans have a deplorable voting history, and many will tell you that they have never voted.

Which of the following words is the best synonym for the word 'privilege' as used in the passage?

In the basement of an apartment, the total number of wheels of all cars and bikes is 70 more than twice the number of parked vehicles. The number of cars parked in the basement is:

Two trains start at the same time from two stations and proceed towards each other at speeds of 90 km/h and 70 km/h, respectively. When they meet, it is found that one train has travelled 140 km more than the other. What is the distance (in km) between the two stations?

Direction: In the given question, an idiom/phrase has been printed in bold in the sentence. Choose the alternative that best expresses the meaning of the idiom/phrase

The family of the victim said that the killer had got his just deserts when he was jailed for life.

A tree of the graph shown below is

If Eigen values of A₂×2Matrix are 2, 3 then Eigen values of A2 – 3A + 4I will be 'g' and 'h'. What will be the sum of 'g' and 'h'.

Directions: Select the most appropriate word/phrase among the choices to complete the sentence.

You can make your quixotic experiments with someone else, I do not wish to be your ________.

One hundred identical coins, each with probability P of showing up heads are tossed once. If 0 < P < 1 and the probability of heads showing on 50 coins is equal to that of heads showing on 51 coins. Then the values of P is

If prices reduce by 20% and sales increase by 15%, what is the net effect on gross receipts?

A specimen of a Si has a resistivity of 200kΩ -cm, magnetic flux B = 0.3Wb / m² and d = w = 6mm. if the value of hall voltages and hall currents are 60mV and 10μA. Then the value of μp is (cm² / V - sec )

Kirchhoff's current law is applicable to:

1. Closed loops in a circuit
2. Junction in a circuit
3. Magnetic circuits

Which of the above is/are correct?

In the circuit given below, what is the operating region of the transistor, if it has a β of 100?

Directions: Read the given context and answer the question that follows.

Most Reality TV shows centre on two common motivators: fame and money. The shows transform waitresses, hairdressers, investment bankers, counsellors and teachers, to name a few, from obscure figures to household names. A lucky few successfully parlay their fifteen minutes of fame into celebrity. The luckiest stars of Reality TV also reap huge financial rewards for acts, including eating large insects, marrying someone they barely know, and revealing their innermost thoughts to millions of people.

Which of the following options best supports the above paragraph?

Consider a circuit as shown in fig below

Equivalent resistance across the terminals A & B is_____Ω.

Directions: Insert the missing number.

The ROC of z-transform of the discrete time sequence is

Consider a discrete time periodic signal x [n] = sin(πn/5) . Let ak be the complex Fourier series coefficients of x[n]. The coefficients {a_k}, are non-zero when k = Bm±1, where m is any integer. The value of B is _______.(Answer up to the nearest integer)

When the load on a transmission line is equal to the surge impedance loading, then

A discrete random variable X has possible values xi = i², i = 1, 2, 3, 4 which occur with probabilities 0.4, 0.25, 0.15, 0.1. The mean value = E [X] of X is ___. (Answer up to two decimal places)

In a transistor amplifier, change of 0.025V in signal voltage causes the base current to change by 15 µA and collector current by 1.2 mA. If collector and load resistances are of 6kΩ and 12kΩ, determine input resistance in kΩ.

A source has an alphabet {a₁, a₂, a₃, a₄, a₅, a₆} with corresponding probabilities {0.1, 0.2, 0.3, 0.5, 0.15, 0.2}. The entropy (in bits / symbol) of this source is ______. (Answer up to one decimal place)

In the figure shown below, voltage V1 and V2 are

The Fourier transform of signal is

A white noise signal having two sided spectral density of 5*10^-6 V²/Hz is applied to a simple RC low pass filter whose 3 dB cutoff frequency is 5 kHz. The mean squared value of noise obtained at the output of filter would be

Consider the given circuit and waveform for the input voltage. The diode in circuit has cutting voltage Vy = 0.

The waveform of output voltage vo is