GATE PI 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

The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

Your answerChoose one option.

9,92,500

9,95,006

10,00,000

12,51,506

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and

are positive integers and

, then,

Your answerChoose one option.

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Diagram for Production and Industrial Engineering question 3

The least number of squares that must be added so that the line P-Q becomes the line of symmetry is ________

Your answerChoose one option.

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Nostalgia is to anticipation as ______ is to ______ Which one of the following options maintains a similar logical relation in the above sentence?

Your answerChoose one option.

Present, past

Future, past

Past, future

Future, present

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Consider the following sentences: (i) I woke up from sleep. (ii) I woked up from sleep. (iii) I was woken up from sleep. (iv) I was woken up from sleep. Which of the above sentences are grammatically CORRECT?

Your answerChoose one option.

(i) and (ii)

(i) and (iii)

(ii) and (iii)

(i) and (iv)

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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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Diagram for Production and Industrial Engineering question 9

The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above. 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 Production and Industrial 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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GATE PI year:2021 PYQs

How to practice year:2021

Question 1

Question 2

Question 3

Question 4

Question 5

Question 6

Question 7

Question 8

Question 9

Question 10