GATE IN year:2021 PYQs & Answers

Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.

Questions 1–10 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 1 of 7

Getting to the top is ______ than staying on top.

Your answerChoose one option.

more easy

much easy

easiest

easier

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The mirror image of the above text about the X-axis is

Diagram for Instrumentation Engineering question 2

Your answerChoose one option.

Diagram for Instrumentation Engineering question 2 (figure 2)

Diagram for Instrumentation Engineering question 2 (figure 3)

Diagram for Instrumentation Engineering question 2 (figure 4)

Diagram for Instrumentation Engineering question 2 (figure 5)

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In a company, 35% of the employees drink coffee, 40% of the employees drink tea and 10% of the employees drink both tea and coffee. What % of employees drink neither tea nor coffee?

Your answerChoose one option.

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⊕ and ⊙ are two operators on numbers

and

such that

and

. If

, then

Your answerChoose one option.

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Four persons P, Q, R and S are to be seated in a row, all facing the same direction, but not necessarily in the same order. P and R cannot sit adjacent to each other. S should be seated to the right of Q. The number of distinct seating arrangements possible is:

Your answerChoose one option.

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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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GATE IN year:2021 PYQs

How to practice year:2021

Question 1

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Question 5

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Question 8

Question 9

Question 10