GATE ES format:mcq PYQs & Answers — Page 5

Questions 41–50 of 200. Imported answers require independent review unless marked reviewed.

Topic practice 200 questionsPage 5 of 20

A regular dodecagon (12-sided regular polygon) is inscribed in a circle of radius r cm as shown in the figure. The side of the dodecagon is d cm. All the triangles (numbered 1 to 12 in the figure) are used to form squares of side r cm and each numbered triangle is used only once to form a square.

The number of squares that can be formed and the number of triangles required to form each square, respectively, are:

Note: The figure shown is representative.

Diagram for Environmental Science and Engineering question 8

Your answerChoose one option.

3; 4

4; 3

3; 3

3; 2

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If a real variable

satisfies

, then the value of

is:

Your answerChoose one option.

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The number of patients per shift (

) consulting Dr. Gita in her past 100 shifts is shown in the figure. If the amount she earns per shift is ₹ 1000(

), what is the average amount (in ₹) she has earned per shift in the past 100 shifts?

Note: The figure shown is representative.

Diagram for Environmental Science and Engineering question 10

Your answerChoose one option.

6,100

6,300

6,000

6,500

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Assuming

; Laplace transform of

Your answerChoose one option.

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For the ordinary differential equation

, the general solution is

Your answerChoose one option.

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Consider the following two series

Choose the correct option from the following

Your answerChoose one option.

P is convergent series; Q is divergent series

P is divergent series; Q is convergent series

Both P and Q are convergent series

Both P and Q are divergent series

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Choose the redox reaction from the following

Your answerChoose one option.

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Which one of the following is performed by autotrophic bacteria?

Your answerChoose one option.

Aerobic biodegradation of organic matter

Anaerobic biodegradation of organic matter

Aerobic nitrification

Anaerobic de-nitrification

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For flood routing, consider the following statements

P: Hydrologic routing method uses continuity equation and momentum equation

Q: Hydraulic routing method uses continuity equation and energy equation

Choose the correct option from the following

Your answerChoose one option.

P is TRUE; Q is TRUE

P is TRUE; Q is FALSE

P is FALSE; Q is TRUE

P is FALSE; Q is FALSE

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For a gradually varied flow, consider the following statements

in M

surface profile

in S

surface profile

where,

is normal depth,

is critical depth, and

is flow depth.

Choose the correct option from the following

Your answerChoose one option.

P is TRUE; Q is TRUE

P is TRUE; Q is FALSE

P is FALSE; Q is TRUE

P is FALSE; Q is FALSE

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GATE ES format:mcq PYQs

Question 8

Question 9

Question 10

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Question 12

Question 13

Question 14

Question 15

Question 16

Question 17