GATE IN purpose:exam-prep PYQs & Answers — Page 34

Questions 331–340 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 34 of 65

Statement: Either P marries Q or X marries Y

Among the options below, the logical NEGATION of the above statement is:

Your answerChoose one option.

P does not marry Q and X marries Y.

Neither P marries Q nor X marries Y.

X does not marry Y and P marries Q.

P marries Q and X marries Y.

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Consider two rectangular sheets, Sheet M and Sheet N of dimensions 6 cm x 4 cm each.

Folding operation 1: The sheet is folded into half by joining the short edges of the current shape.

Folding operation 2: The sheet is folded into half by joining the long edges of the current shape.

Folding operation 1 is carried out on Sheet M three times.

Folding operation 2 is carried out on Sheet N three times.

The ratio of perimeters of the final folded shape of Sheet N to the final folded shape of Sheet M is ______.

Your answerChoose one option.

13 : 7

3 : 2

7 : 5

5 : 13

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Five line segments of equal lengths, PR, PS, QS, QT and RT are used to form a star as shown in the figure above.

Diagram for Instrumentation Engineering question 8

The value of θ, in degrees, is ______

Your answerChoose one option.

108

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A function

is defined by

The value of the expression

is:

Your answerChoose one option.

−1

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Humans have the ability to construct worlds entirely in their minds, which don’t exist in the physical world. So far as we know, no other species possesses this ability. This skill is so important that we have different words to refer to its different flavors, such as imagination, invention and innovation.

Based on the above passage, which one of the following is TRUE?

Your answerChoose one option.

No species possess the ability to construct worlds in their minds.

The terms imagination, invention and innovation refer to unrelated skills.

We do not know of any species other than humans who possess the ability to construct mental worlds.

Imagination, invention and innovation are unrelated to the ability to construct mental worlds.

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Consider the row vectors

and

. The rank of the matrix

, where the superscript

denotes the transpose, is

Your answerChoose one option.

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Consider the sequence

with

. Then

Your answerChoose one option.

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An infinitely long line, with uniform positive charge density, lies along the z-axis. In cylindrical coordinates

, at any point

not on the z-axis, the direction of the electric field is

Your answerChoose one option.

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The input-output relationship of an LTI system is given below.

Diagram for Instrumentation Engineering question 4

For an input

shown below

Diagram for Instrumentation Engineering question 4 (figure 2)

, the peak value of the output when

passes through

is _____.

Your answerChoose one option.

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In an ac main, the rms voltage

, rms current

and power

are measured as:

and

(errors are with respect to readings). The percentage error in calculating the power factor using these readings is

Your answerChoose one option.

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