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

Questions 331–340 of 390. Imported answers require independent review unless marked reviewed.

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 Environmental Science and 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 Environmental Science and 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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A tangent is drawn on the curve of the function

at the point

. The slope of the tangent is ________.

Your answerChoose one option.

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________

Your answerChoose one option.

−1

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The table below shows the carbon content of four samples of powdered coal. If the four samples are mixed completely, what would be the resultant carbon percentage of the mixture by weight?

Sample number	Mass of sample (kg)	Carbon % by weight
1	2	88
2	1	90
3	2	80
4	1	90

Your answerChoose one option.

58 %

86 %

87 %

90 %

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A sample of air is collected in the morning at an ambient temperature of 25 °C. The concentration of carbon monoxide (CO) in this sample is 30 ppm (ppm by volume). The same sample is analysed later in the afternoon when the sample temperature is 35 °C. The analysis results will show the CO concentration as __________.

Your answerChoose one option.

< 29 ppm

30 ppm

= 30 ppm

= 29 ppm

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In fluid statics, the line of action of the buoyant force always acts through the ____________________.

Your answerChoose one option.

centre of gravity of any submerged body

centroid of the volume of any floating body

centroid of the displaced volume of fluid by the body

centroid of the volume of fluid vertically above the body

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GATE ES purpose:exam-prep PYQs

Question 6

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Question 5