GATE ECE branch:ec PYQs & Answers — Page 34

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Questions 331–340 of 715. Imported answers require independent review unless marked reviewed.

Topic practice 715 questionsPage 34 of 72

Given below are two statements and two conclusions. Statement 1: All purple are green. Statement 2: All black are green. Conclusion I: Some black are purple. Conclusion II: No black is purple. Based on the above statements and conclusions, which one of the following options is logically CORRECT?

Your answerChoose one option.

Only conclusion I is correct.

Only conclusion II is correct.

Either conclusion I or II is correct.

Both conclusion I and II are correct.

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Computers are ubiquitous. They are used to improve efficiency in almost all fields from agriculture to space exploration. Artificial intelligence (AI) is currently a hot topic. AI enables computers to learn, given enough training data. For humans, sitting in front of a computer for long hours can lead to health issues. Which of the following can be deduced from the above passage? (i) Nowadays, computers are present in almost all places. (ii) Computers cannot be used for solving problems in engineering. (iii) For humans, there are both positive and negative effects of using computers. (iv) Artificial intelligence can be done without data.

Your answerChoose one option.

(ii) and (iii)

(ii) and (iv)

(i), (iii) and (iv)

(i) and (iii)

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Consider a square sheet of side 1 unit. In the first step, it is cut along the main diagonal to get two triangles. In the next step, one of the cut triangles is revolved about its short edge to form a solid cone. The volume of the resulting cone, in cubic units, is

Your answerChoose one option.

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The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart.

Diagram for Electronics and Communication Engineering question 9

The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is

Your answerChoose one option.

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Diagram for Electronics and Communication Engineering question 10

Corners are cut from an equilateral triangle to produce a regular convex hexagon as shown in the figure above. The ratio of the area of the regular convex hexagon to the area of the original equilateral triangle is

Your answerChoose one option.

2 : 3

3 : 4

4 : 5

5 : 6

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The vector function

is defined over a circular arc

shown in the figure.

Diagram for Electronics and Communication Engineering question 1

The line integral of

Your answerChoose one option.

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Consider the differential equation given below.

The integrating factor of the differential equation is

Your answerChoose one option.

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Two continuous random variables

and

are related as

Let

and

denote the variances of

and

, respectively. The variances are related as

Your answerChoose one option.

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Consider a real-valued base-band signal

, band limited to 10 kHz. The Nyquist rate for the signal

Your answerChoose one option.

15 kHz

30 kHz

60 kHz

20 kHz

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Consider two 16-point sequences

and

. Let the linear convolution of

and

be denoted by

, while

denotes the 16-point inverse discrete Fourier transform (IDFT) of the product of the 16-point discrete Fourier transforms (DFTs) of

and

. The value(s) of

for which

is/are

Your answerChoose one option.

and

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GATE ECE branch:ec PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 1

Question 2

Question 3

Question 4

Question 5