GATE ECE format:mcq PYQs & Answers — Page 18

Questions 171–180 of 426. Imported answers require independent review unless marked reviewed.

Mosquitoes pose a threat to human health. Controlling mosquitoes using chemicals may have undesired consequences. In Florida, authorities have used genetically modified mosquitoes to control the overall mosquito population. It remains to be seen if this novel approach has unforeseen consequences.

Which one of the following is the correct logical inference based on the information in the above passage?

Your answerChoose one option.

Using chemicals to kill mosquitoes is better than using genetically modified mosquitoes because genetic engineering is dangerous

Using genetically modified mosquitoes is better than using chemicals to kill mosquitoes because they do not have any side effects

Both using genetically modified mosquitoes and chemicals have undesired consequences and can be dangerous

Using chemicals to kill mosquitoes may have undesired consequences but it is not clear if using genetically modified mosquitoes has any negative consequence

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Consider the following inequalities. (i)

(ii)

Which one of the following expressions below satisfies the above two inequalities?

Your answerChoose one option.

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Four points P(0, 1), Q(0, −3), R(−2, −1), and S(2, −1) represent the vertices of a quadrilateral.

What is the area enclosed by the quadrilateral?

Your answerChoose one option.

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In a class of five students P, Q, R, S and T, only one student is known to have copied in the exam. The disciplinary committee has investigated the situation and recorded the statements from the students as given below.

Statement of P: R has copied in the exam.

Statement of Q: S has copied in the exam.

Statement of R: P did not copy in the exam.

Statement of S: Only one of us is telling the truth.

Statement of T: R is telling the truth.

The investigating team had authentic information that S never lies.

Based on the information given above, the person who has copied in the exam is

Your answerChoose one option.

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Consider the following square with the four corners and the center marked as P, Q, R, S and T respectively.

Diagram for Electronics and Communication Engineering question 10

Let X, Y and Z represent the following operations:

X: rotation of the square by 180 degree with respect to the S-Q axis.

Y: rotation of the square by 180 degree with respect to the P-R axis.

Z: rotation of the square by 90 degree clockwise with respect to the axis perpendicular, going into the screen and passing through the point T.

Consider the following three distinct sequences of operation (which are applied in the left to right order).

(1) XYZ (2) XY (3) ZZZ

Which one of the following statements is correct as per the information provided above?

Your answerChoose one option.

The sequence of operations (1) and (2) are equivalent

The sequence of operations (1) and (3) are equivalent

The sequence of operations (2) and (3) are equivalent

The sequence of operations (1), (2) and (3) are equivalent

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Consider the two-dimensional vector field

, where

and

denote the unit vectors along the

-axis and the

-axis, respectively. A contour

in the

plane, as shown in the figure, is composed of two horizontal lines connected at the two ends by semicircular arcs of unit radius. The contour is traversed in the counter-clockwise sense. The value of the closed path integral

is ________.

Diagram for Electronics and Communication Engineering question 11

Your answerChoose one option.

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Consider a system of linear equations

, where

This system of equations admits ________.

Your answerChoose one option.

a unique solution for

infinitely many solutions for

no solutions for

exactly two solutions for

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The current

in the circuit shown is ________.

Diagram for Electronics and Communication Engineering question 13

Your answerChoose one option.

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Consider the circuit shown in the figure. The current

flowing through the

resistor is ________.

Diagram for Electronics and Communication Engineering question 14

Your answerChoose one option.

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The Fourier transform

of the signal

is ________.

Your answerChoose one option.

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GATE ECE format:mcq PYQs

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