GATE ME format:mcq PYQs & Answers — Page 25

Questions 241–250 of 599. Imported answers require independent review unless marked reviewed.

Topic practice 599 questionsPage 25 of 60

The distribution of employees at the rank of executives, across different companies C1, C2, ..., C6 is presented in the chart given above. The ratio of executives with a management degree to those without a management degree in each of these companies is provided in the table above:

Company	Ratio
C1	3:2
C2	1:4
C3	5:3
C4	2:3
C5	9:1
C6	3:4

The total number of executives across all companies is 10,000.

The total number of management degree holders among the executives in companies C2 and C5 together is_____

Diagram for Mechanical Engineering question 9

Your answerChoose one option.

225

600

1900

2500

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Consider a square sheet of side 1 unit. The sheet is first folded along the main diagonal. This is followed by a fold along its line of symmetry. The resulting folded shape is again folded along its line of symmetry. The area of each face of the final folded shape, in square units, equal to

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Five persons P, Q, R, S and T are sitting in a row not necessarily in the same order. Q and R are separated by one person, and S should not be seated adjacent to Q. The number of distinct seating arrangements possible is:

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The world is going through the worst pandemic in the past hundred years. The air travel industry is facing a crisis, the resulting quarantine requirement for travelers led to weak demand.

In relation to the first sentence above, what does the second sentence do?

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Restates an idea from the first sentence.

Second sentence entirely contradicts the first sentence.

The two statements are unrelated.

States an effect of the first sentence.

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satisfies the differential equation

, subject to the condition

, then

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Consider an

matrix

and a non-zero

vector

. Their product

, where

and

. Based on the given information, the eigen value of

is:

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The value of

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If the Laplace transform of a function

is given by

, then

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The Dirac-delta function

for

, has the following property

The Laplace transform of the Dirac-delta function

for

;

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The mean and variance, respectively, of a binomial distribution for

independent trials with the probability of success as

, are

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GATE ME format:mcq PYQs

Question 9

Question 9

Question 10

Question 10

Question 1

Question 1

Question 2

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Question 3

Question 3