GATE ECE purpose:exam-prep PYQs & Answers — Page 21

Questions 201–210 of 715. Imported answers require independent review unless marked reviewed.

Forestand is a planet inhabited by different kinds of creatures. Among other creatures, it is populated by animals all of whom are ferocious. There are also creatures that have claws, and some that do not. All creatures that have claws are ferocious.

Based only on the information provided above, which one of the following options can be logically inferred with certainty?

Your answerChoose one option.

All creatures with claws are animals.

Some creatures with claws are non-ferocious.

Some non-ferocious creatures have claws.

Some ferocious creatures are creatures with claws.

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Which one of the following options represents the given graph?

Diagram for Electronics and Communication Engineering question 7

Your answerChoose one option.

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Which one of the following options can be inferred from the given passage alone?

When I was a kid, I was partial to stories about other worlds and interplanetary travel. I used to imagine that I could just gaze off into space and be whisked to another planet.

[Excerpt from The Truth about Stories by T. King]

Your answerChoose one option.

It is a child’s description of what he or she likes.

It is an adult’s memory of what he or she liked as a child.

The child in the passage read stories about interplanetary travel only in parts.

It teaches us that stories are good for children.

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Out of 1000 individuals in a town, 100 unidentified individuals are covid positive. Due to lack of adequate covid-testing kits, the health authorities of the town devised a strategy to identify these covid-positive individuals. The strategy is to:

(i) Collect saliva samples from all 1000 individuals and randomly group them into sets of 5.

(ii) Mix the samples within each set and test the mixed sample for covid.

(iii) If the test done in (ii) gives a negative result, then declare all the 5 individuals to be covid negative.

(iv) If the test done in (ii) gives a positive result, then all the 5 individuals are separately tested for covid.

Given this strategy, no more than ______ test kits will be required to identify all the 100 covid positive individuals irrespective of how they are grouped.

Your answerChoose one option.

700

600

800

1000

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A 100 cm × 32 cm rectangle sheet is folded 5 times. Each time the sheet is folded, the long edge aligns with its opposite side. Eventually, the folded sheet is a rectangle of dimensions 100 cm × 1 cm.

The total number of creases visible when the sheet is unfolded is ______.

Your answerChoose one option.

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Let

and

be two vectors. The value of the coefficient

in the expression

, which minimizes the length of the error vector

, is

Your answerChoose one option.

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The rate of increase, of a scalar field

, in the direction

at a point

Your answerChoose one option.

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Let

. Which of the following cannot be a value of

Your answerChoose one option.

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The value of the contour integral

, where the contour

, taken in the counter clockwise direction, is

Your answerChoose one option.

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Let the sets of eigenvalues and eigenvectors of a matrix

and

, respectively. For any invertible matrix

, the sets of eigenvalues and eigenvectors of the matrix

, where

, respectively, are

Your answerChoose one option.

and

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GATE ECE purpose:exam-prep PYQs

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