GATE ECE purpose:exam-prep PYQs & Answers — Page 8

Questions 71–80 of 715. Imported answers require independent review unless marked reviewed.

Identify the option that has the most appropriate sequence such that a coherent paragraph is formed:

P. Over time, such adaptations lead to significant evolutionary changes with the potential to shape the development of new species.

Q. In natural world, organisms constantly adapt to their environments in response to challenges and opportunities.

R. This process of adaptation is driven by the principle of natural selection, where favorable traits increase an organism’s chances of survival and reproduction.

S. As environments change, organisms that can adapt their behavior, structure and physiology to such changes are more likely to survive.

Your answerChoose one option.

P → Q → R → S

Q → S → R → P

R → S → Q → P

S → P → R → Q

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A stick of length one meter is broken at two locations at distances of

and

from the origin (0), as shown in the figure. Note that

. Which one of the following is NOT a necessary condition for forming a triangle using the three pieces?

Note: All lengths are in meter. The figure shown is representative.

Diagram for Electronics and Communication Engineering question 7

Your answerChoose one option.

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Eight students (P, Q, R, S, T, U, V, and W) are playing musical chairs. The figure indicates their order of position at the start of the game. They play the game by moving forward in a circle in the clockwise direction.

After the 1st round, 4th student behind P leaves the game. After 2nd round, 5th student behind Q leaves the game. After 3rd round, 3rd student behind V leaves the game. After 4th round, 4th student behind U leaves the game. Who are left in the game after the 4th round?

Note: The figure shown is representative.

Diagram for Electronics and Communication Engineering question 8

Your answerChoose one option.

P; T; Q; S

V; P; T; Q

W; R; Q; V

Q; T; V; W

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The table lists the top 5 nations according to the number of gold medals won in a tournament; also included are the number of silver and the bronze medals won by them. Based only on the data provided in the table, which one of the following statements is INCORRECT?

Nation	Gold	Silver	Bronze
USA	40	44	41
Canada	39	27	24
Japan	20	12	13
Australia	17	19	16
France	16	26	22

Your answerChoose one option.

France will occupy the third place if the list were made on the basis of the total number of medals won.

The order of the top two nations will not change even if the list is made on the basis of the total number of medals won.

USA and Canada together have less than 50% of the medals awarded to the nations in the above table.

Canada has won twice as many total medals as Japan.

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An organization allows its employees to work independently on consultancy projects but charges an overhead on the consulting fee. The overhead is 20% of the consulting fee, if the fee is up to ₹ 5,00,000. For higher fees, the overhead is ₹ 1,00,000 plus 10% of the amount by which the fee exceeds ₹ 5,00,000. The government charges a Goods and Services Tax of 18% on the total amount (the consulting fee plus the overhead). An employee of the organization charges this entire amount, i.e., the consulting fee, overhead, and tax, to the client. If the client cannot pay more than ₹ 10,00,000, what is the maximum consulting fee that the employee can charge?

Your answerChoose one option.

₹ 7,01,438

₹ 7,24,961

₹ 7,51,232

₹ 7,75,784

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Consider the matrix

below:

For which of the following combinations of

and

, is the rank of

at least three?

(i)

and

(ii)

(iii)

and

(iv)

Your answerChoose one option.

Only (i), (iii), and (iv)

Only (iv)

Only (ii)

Only (i) and (iii)

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Consider the following series:

(i)

(ii)

(iii)

Choose the correct option.

Your answerChoose one option.

Only (ii) converges

Only (ii) and (iii) converge

Only (iii) converges

All three converge

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A pot contains two red balls and two blue balls. Two balls are drawn from this pot randomly without replacement.

What is the probability that the two balls drawn have different colours?

Your answerChoose one option.

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Consider a frequency-modulated (FM) signal

where

and

are, respectively, the amplitude and frequency (in Hz) of the carrier waveform. The frequency

is in Hz, and assume that

The peak frequency deviation of the FM signal in Hz is ______.

Your answerChoose one option.

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Consider an additive white Gaussian noise (AWGN) channel with bandwidth

and noise power spectral density

. Let

denote the average transmit power constraint. Which one of the following plots illustrates the dependence of the channel capacity

on the bandwidth

(keeping

and

fixed)?

Your answerChoose one option.

Diagram for Electronics and Communication Engineering question 15

Diagram for Electronics and Communication Engineering question 15 (figure 2)

Diagram for Electronics and Communication Engineering question 15 (figure 3)

Diagram for Electronics and Communication Engineering question 15 (figure 4)

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GATE ECE purpose:exam-prep PYQs

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