GATE MN branch:mn PYQs & Answers — Page 22

Questions 211–220 of 650. Imported answers require independent review unless marked reviewed.

Topic practice 650 questionsPage 22 of 65

Given two random variables X and Y, the expected value E(3X−5Y) is

Your answerChoose one option.

3E(X) − 5E(Y)

3E(X)+5E(Y)

3E(X) − 5E(Y) − 15E(XY)

E(X) − E(Y) − E(XY)

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The reaction products of calcium hydroxide with acidic feruginous mine water are

Your answerChoose one option.

FeO, Ca⁺ and H⁺

FeO, CaO and H₂O

Fe₃, Ca³⁺ and OH⁻

Fe(OH)₃, Ca²⁺ and H₂O

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An underground coal mine experienced 5 serious injuries, 15 reportable injuries, and 25 minor injuries during 2020. If the average employment in the mine is 1200, then the total injury rate per 1000 persons employed is

Your answerChoose one option.

54.0

20.83

37.5

60.0

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A linear programming problem is given as: Maximize

Subject to:

The problem has

Your answerChoose one option.

Unbounded solution.

Infeasible solution.

Multiple optimal solutions.

Unique optimal solution.

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A tabular, near-flat (dip < 30°), and less than 2 m thick copper orebody having erratically located grade is to be mined underground. Wall rock and orebody are competent. The most suitable mining method is

Your answerChoose one option.

Cut and fill stoping.

Sub-level stoping.

Underhand open stoping.

Breast stoping.

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x and y are functions of independent variables

and

as given below

The Jacobian of x, y is

Your answerChoose one option.

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In project scheduling techniques, the CORRECT statement is

Your answerChoose one option.

Both CPM and PERT are deterministic.

Both CPM and PERT are probabilistic.

CPM is deterministic and PERT is probabilistic.

CPM is probabilistic and PERT is deterministic.

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As per DGMS guidelines, the risk score in Safety Management Plan for a hazard is computed as

Your answerChoose one option.

Consequence × Exposure

Consequence × Exposure × Probability

Exposure × Probability

Consequence × Probability

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Match the following items with their respective contours

Item	Contour
(P) Isopachs	(1) slope
(Q) Isotherms	(2) thickness
(R) Isocline	(3) temperature

Your answerChoose one option.

P→1, Q→3, R→2

P→3, Q→1, R→2

P→2, Q→3, R→1

P→2; Q→1; R→3

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In an astronomical survey at a given station, the pole star is located at an angle of 27° from the horizon. The latitude of the survey station in degrees is

Your answerChoose one option.

27° N

63° N

27° S

63° S

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GATE MN branch:mn PYQs

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