Mining Engineering Gate Yearwise 


Mining Engineering Gate 2019 Questions with Answer

Ques 1 GATE 2019

If f(x) is a polynomial function that passes through origin, and g(x)=f'(x), then

A

g'(a)=f(a)

B

g'(a)=f'(a)

C

∫0a g(x)dx=f(a)

D

∫0a f(x)dx=g(a)


(c) is the correct answer.

Ques 2 GATE 2019

If the sample statistic X‾ is an unbiased estimator of the parameter, then

A

E(μ-X‾)=0

B

E(μ+X‾)=0

C

E(μ-X‾)2=0

D

E(μ+X‾)2=0


(a) is the correct answer.

Ques 3 GATE 2019

The coefficient of variation of a dataset is defined as

A

Mean/Standard Deviation

B

Variance/Mean

C

Standard Deviation/Mean

D

Mean/Variance


(c) is the correct answer.

Ques 4 GATE 2019

For a function f(x), f(1)=5 and f'(1)=-5. Ignoring all higher order terms in Taylor series, the value of the function at x=1.01 (rounded off to two decimal places) is


(4.94) is the correct answer.

Ques 5 GATE 2019

Matrix

is orthogonal. The values of α, β and γ respectively are

A

±1/√3,±1/√2,±1/√6

B

±1/√3,±1/√6,±1/√2

C

±1/√6,±1/√3,±1/√2

D

±1/√2,±1/√6,±1/√3


(d) is the correct answer.

Ques 6 GATE 2019

If area S, in the x-y plane, is bounded by a triangle with vertices (0, 0), (10, 1) and (1, 1),
the value of ∫∫C√xy-y2dxdy is


(6) is the correct answer.

Ques 7 GATE 2019

In the linear programming problem,
Maximize Z=48X1+36X2
Subject to:
X1≤5
X2≤8
2X1+4/3 X2≤16
X1+X2=10
X1≥4, and X1≥0, X2≥0
The value of Z is _________.


(408) is the correct answer.

Ques 8 GATE 2019

If x=31/3+3-1/3 the value of 3x3-9x-10 is _________.


(0) is the correct answer.

Ques 9 GATE 2019

The random variable X has probability density function as given by

The value E(X2) (rounded off to one decimal place) is


(0.5) is the correct answer.

Ques 10 GATE 2019

The vector sum of all the external forces acting on a rigid body is expressed as ∑F and the vector sum of moments of the external forces about a point is given as ∑M. The rigid body is in equilibrium if

A

∑F-∑M=0

B

∑F+∑M=0

C

∑F=0 and ∑M=0

D

∑F≠0 and ∑M≠0


(c) is the correct answer.

Ques 11 GATE 2019

From an elevated point A, when a stone is thrown vertically, it attains an upward velocity of v at a height of h from the point A. While falling, its downward velocity becomes 2v at a distance h below the point A. The maximum height attained by the stone from point A is

A

5h/3

B

4h/3

C

6h/7

D

2h


(a) is the correct answer.

Ques 12 GATE 2019

John Thomas, an ________ writer, passed away in 2018.

A

imminent

B

prominent

C

eminent

D

dominant


(c) is the correct answer.

Ques 13 GATE 2019

_____ I permitted him to leave, I wouldn't have had any problem with him being absent, I _______?

A

Had, wouldn't

B

Have, would

C

Had, would

D

Have, wouldn't


(c) is the correct answer.

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