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GATE 2022 Toppers Weekly Quiz 3

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Question 1

A vector function given by xy2 i + 2x2yz j – 3yz2 k. The vector function under consideration is

Question 2

Choose the most appropriate word from the options given below to complete the following sentence:
It was her view that the country's problems had been ______ by foreign technocrats, so that to invite them to come back would be counter-productive.

Question 3

The number of 3-digit numbers such that the digit 1 is never to the immediate right of 2 is

Question 4

In a parking lot, 30 cars, 30 vans and 40 LCVS are parked. What is the probability that a car leaves after a van or LCV have left?

Question 5

In the ac equivalent circuit shown in the figure, if iin is the input current and RF is very large, the type of feedback is

Question 6

An 8-to-1 multiplexer is used to implement a logical function Y as shown in the figure. The output Y is given by


Question 7

Let Q(√γ) be the BER of a BPSK system over an AWGN channel with two-sided noise power spectral density N0/2. The parameter γ  is a function of bit energy and noise power spectral density.
A system with two independent and identical AWGN channels with noise power spectral density N0/2 is shown in the figure. The BPSK demodulator receives the sum of outputs of both the channels.

If the BER of this system is then the value of b is _____________.

Question 8

The impedance looking into nodes 1 and 2 in the given circuit is

Question 9

In the low-pass filter shown in the figure, for a cut-off frequency of 5kHz, the value of R2(in ) is ____________.

Question 10

A, B and C can complete a work in 20, 25 and 45 days respectively. They started the work together and A left 4 days before the completion of the work and B left 3 days before the completion of work. Find the total no. of days for the work to be completed.
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Sep 19ESE & GATE EC