GATE ME topic:mechanics PYQs & Answers — Page 28

Questions 271–280 of 1040. Imported answers require independent review unless marked reviewed.

Humans are naturally compassionate and honest. In a study using strategically placed wallets that appear “lost”, it was found that wallets with money are more likely to be returned than wallets without money. Similarly, wallets that had a key and money are more likely to be returned than wallets with the same amount of money alone. This suggests that the primary reason for this behavior is compassion and empathy.

Which one of the following is the CORRECT logical inference based on the information in the above page?

Your answerChoose one option.

Wallets with a key are more likely to be returned because people do not care about money

Wallets with a key are more likely to be returned because people relate to suffering of others

Wallets used in experiments are more likely to be returned than wallets that are really lost

Money is always more important than keys

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Fish belonging to species S in the deep sea have skins that are extremely black (ultra-black skin). This helps them not only to avoid predators but also sneakily attack their prey. However, having this extra layer of black pigment results in lower collagen on their skin, making their skin more fragile.

Which one of the following is the CORRECT logical inference based on the information in the above passage?

Your answerChoose one option.

Having ultra-black skin is only advantageous to species S

Species S with lower collagen in their skin are at an advantage because it helps them avoid predators

Having ultra-black skin has both advantages and disadvantages to species S

Having ultra-black skin is only disadvantageous to species S but advantageous only to their predators

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A rhombus is formed by joining the midpoints of the sides of a unit square.

What is the diameter of the largest circle that can be inscribed within the rhombus?

Your answerChoose one option.

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For the past

days, the average daily production at a company was 100 units per day.

If today’s production of 180 units changes the average to 110 units per day, what is the value of

Your answerChoose one option.

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An equilateral triangle, a square and a circle have equal areas.

What is the ratio of the perimeters of the equilateral triangle to square to circle?

Your answerChoose one option.

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Consider the following functions for non-zero positive integers,

and

;

(up to

terms);

Which one of the following options is correct based on the above?

Your answerChoose one option.

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Given below are three conclusions drawn based on the following three statements.

Statement 1: All teachers are professors.

Statement 2: No professor is a male.

Statement 3: Some males are engineers.

Conclusion I: No engineer is a professor.

Conclusion II: Some engineers are professors.

Conclusion III: No male is a teacher.

Which one of the following options can be logically inferred?

Your answerChoose one option.

Only conclusion III is correct

Only conclusion I and conclusion II are correct

Only conclusion II and conclusion III are correct

Only conclusion I and conclusion III are correct

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Four cities P, Q, R and S are connected through one-way routes as shown in the figure. The travel time between any two connected cities is one hour. The boxes beside each city name describe the starting time of first train of the day and their frequency of operation. For example, from city P, the first trains of the day start at 8 AM with a frequency of 90 minutes to each of R and S. A person does not spend additional time at any city other than the waiting time for the next connecting train.

If the person starts from R at 7 AM and is required to visit S and return to R, what is the minimum time required?

Diagram for Mechanical Engineering question 9

Your answerChoose one option.

6 hours 30 minutes

3 hours 45 minutes

4 hours 30 minutes

5 hours 15 minutes

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In a 12-hour clock that runs correctly, how many times do the second, minute, and hour hands of the clock coincide, in a 12-hour duration from 3 PM in a day to 3 AM the next day?

Your answerChoose one option.

144

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Equal sized circular regions are shaded in a square sheet of paper of 1 cm side length. Two cases, case M and case N, are considered as shown in the figures below. In the case M, four circles are shaded in the square sheet and in the case N, nine circles are shaded in the square sheet as shown.

What is the ratio of the areas of unshaded regions of case M to that of case N?

Diagram for Mechanical Engineering question 10

Your answerChoose one option.

2 : 3

1 : 1

3 : 2

2 : 1

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GATE ME topic:mechanics PYQs

Question 6

Question 6

Question 7

Question 7

Question 8

Question 8

Question 9

Question 9

Question 10

Question 10