GATE ME topic:mechanical-engineering PYQs & Answers — Page 21

Questions 201–210 of 1040. Imported answers require independent review unless marked reviewed.

In a recently held parent-teacher meeting, the teachers had very few complaints about Ravi. After all, Ravi was a hardworking and kind student. Incidentally, almost all of Ravi’s friends at school were hardworking and kind too. But the teachers drew attention to Ravi’s complete lack of interest in sports. The teachers believe that, along with some of his friends who showed similar disinterest in sports, Ravi needed to engage in some sports for his overall development.

Based only on the information provided above, which one of the following statements can be logically inferred with certainty?

Your answerChoose one option.

All of Ravi’s friends are hardworking and kind.

No one who is not a friend of Ravi is hardworking and kind.

None of Ravi’s friends are interested in sports.

Some of Ravi’s friends are hardworking and kind.

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Consider the following inequalities

where

and

are positive integers. The value of

is ______.

Your answerChoose one option.

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Which one of the sentence sequences in the given options creates a coherent narrative?

(i) I could not bring myself to knock. (ii) There was a murmur of unfamiliar voices coming from the big drawing room and the door was firmly shut. (iii) The passage was dark for a bit, but then it suddenly opened into a bright kitchen. (iv) I decided I would rather wander down the passage.

Your answerChoose one option.

(iv), (i), (iii), (ii)

(iii), (i), (ii), (iv)

(ii), (i), (iv), (iii)

(i), (iii), (ii), (iv)

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How many pairs of sets (S,T) are possible among the subsets of that satisfy the condition that S is a subset of T?

Your answerChoose one option.

729

728

665

664

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An opaque pyramid (shown below), with a square base and isosceles faces, is suspended in the path of a parallel beam of light, such that its shadow is cast on a screen oriented perpendicular to the direction of the light beam. The pyramid can be oriented in any direction within the light beam. Under these conditions, which one of the shadows P, Q, R, and S is NOT possible?

Diagram for Mechanical Engineering question 10

Your answerChoose one option.

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A machine produces a defective component with a probability of 0.015. The number of defective components in a packed box containing 200 components produced by the machine follows a Poisson distribution. The mean and the variance of the distribution are

Your answerChoose one option.

3 and 3, respectively

and

, respectively

0.015 and 0.015, respectively

3 and 9, respectively

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The figure shows the plot of a function over the interval

. Which one of the options given CORRECTLY identifies the function?

Diagram for Mechanical Engineering question 12

Your answerChoose one option.

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With reference to the Economic Order Quantity (EOQ) model, which one of the options given is correct?

Diagram for Mechanical Engineering question 13

Your answerChoose one option.

Curve P1: Total cost, Curve P2: Holding cost, Curve P3: Setup cost, and Curve P4: Production cost.

Curve P1: Holding cost, Curve P2: Setup cost, Curve P3: Production cost, and Curve P4: Total cost.

Curve P1: Production cost, Curve P2: Holding cost, Curve P3: Total cost, and Curve P4: Setup cost.

Curve P1: Total cost, Curve P2: Production cost, Curve P3: Holding cost, and Curve P4: Setup cost.

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Which one of the options given represents the feasible region of the linear programming model:

Diagram for Mechanical Engineering question 14

Your answerChoose one option.

Region P

Region Q

Region R

Region S

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A cuboidal part has to be accurately positioned first, arresting six degrees of freedom and then clamped in a fixture, to be used for machining. Locating pins in the form of cylinders with hemi-spherical tips are to be placed on the fixture for positioning. Four different configurations of locating pins are proposed as shown. Which one of the options given is correct?

Diagram for Mechanical Engineering question 15

Your answerChoose one option.

Configuration P1 arrests 6 degrees of freedom, while Configurations P2 and P4 are over-constrained and Configuration P3 is under-constrained.

Configuration P2 arrests 6 degrees of freedom, while Configurations P1 and P3 are over-constrained and Configuration P4 is under-constrained.

Configuration P3 arrests 6 degrees of freedom, while Configurations P2 and P4 are over-constrained and Configuration P1 is under-constrained.

Configuration P4 arrests 6 degrees of freedom, while Configurations P1 and P3 are over-constrained and Configuration P2 is under-constrained.

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GATE ME topic:mechanical-engineering PYQs

Question 6

Question 7

Question 8

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15