GATE CE format:mcq PYQs & Answers — Page 23

Questions 221–230 of 724. Imported answers require independent review unless marked reviewed.

Topic practice 724 questionsPage 23 of 73

Let

, and

. Consider the following numbers:

Which one of the following inequalities is CORRECT?

Your answerChoose one option.

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satisfies the equation

, then

is equal to _____.

Your answerChoose one option.

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A square of side length 4 cm is given. The boundary of the shaded region is defined by one semi-circle on the top and two circular arcs at the bottom, each of radius 2 cm, as shown.

The area of the shaded region is ______ cm

Diagram for Civil Engineering question 10

Your answerChoose one option.

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Consider a spherical globe rotating about an axis passing through its poles. There are three points

, and

situated respectively on the equator, the north pole, and midway between the equator and the north pole in the northern hemisphere. Let

, and

move with speeds

, and

, respectively.

Which one of the following options is CORRECT?

Your answerChoose one option.

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For the integral

which of the following statements is TRUE?

Your answerChoose one option.

The integral does not converge

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Let

be a scalar field, and

be a vector field. Which of the following identities is true for

Your answerChoose one option.

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A hanger is made of two bars of different sizes. Each bar has a square cross-section. The hanger is loaded by three-point loads in the mid vertical plane as shown in the figure. Ignore the self-weight of the hanger. What is the maximum tensile stress in N/mm² anywhere in the hanger without considering stress concentration effects?

Diagram for Civil Engineering question 12

Your answerChoose one option.

15.0

25.0

35.0

45.0

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Which of the following probability distribution functions (PDFs) has the mean greater than the median?

Your answerChoose one option.

Function 1

Function 2

Function 3

Function 4

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Creep of concrete under compression is defined as the ________.

Your answerChoose one option.

increase in the magnitude of strain under constant stress

increase in the magnitude of stress under constant strain

decrease in the magnitude of strain under constant stress

decrease in the magnitude of stress under constant strain

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A remote village has exactly 1000 vehicles with sequential registration numbers starting from 1000. Out of the total vehicles, 30% are without pollution clearance certificate. Further, even- and odd-numbered vehicles are operated on even- and odd-numbered dates, respectively.

If 100 vehicles are chosen at random on an even-numbered date, the number of vehicles expected without pollution clearance certificate is ______.

Your answerChoose one option.

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GATE CE format:mcq PYQs

Question 9

Question 9

Question 10

Question 10

Question 11

Question 11

Question 12

Question 12

Question 13

Question 13