Mining Engineering Gate Yearwise 


Mining Engineering Gate 2020 Questions with Answer

Ques 1 GATE 2020

For x in the range of [-3, 3], the maximum value for the function
f(x)=x3-6x2+9x+15 is (round off to 1 decimal place).


18.0 is the correct answer.


Ques 2 GATE 2020

A random variable X has the following probability mass function.

The expected value of the variable X is (round off to 1 decimal place).


5.4 is the correct answer.


Ques 3 GATE 2020

A random sample has five observations as shown below.

The coefficient of variation of the sample is (round off to 3 decimal places).


0.120 is the correct answer.


Ques 4 GATE 2020

For the value of w=et-t/et+t dw/dt is

A

2et(t2+1)/(et-t2)2

B

2et(t-1)/(et+t)2

C

2et(t2-1)/(et+t2)2

D

2et(t+1)/(et-t)2



Ques 5 GATE 2020

For the differential equation y√(1-x2)dy+x√(1-y2)dx=0, assuming the constant of integration to be C, the general solution is

A

1/(√1-x2)+1/(√1-y2)=C

B

y(√1-x2)+x(√1-y2)=C

C

√(1-x)+√(1-y)=C

D

√(1-x2)+√(1-y2)=C



Ques 6 GATE 2020

A linear programming problem is stated below.
Maximize Z=3x1+5x2
subject to, 2x1+x2≤8
6x1+8x2≤30
x1,x2≥0
The objective function has

A

infinite number of solutions

B

unbounded solution

C

unique solution

D

infeasible solution



Ques 7 GATE 2020

The function values at four points of x are shown in the table. The area under the function, using trapezoidal method, is _________. (round off to 1 decimal place).


71.0 is the correct answer.


Ques 8 GATE 2020

A particle starting from rest moves in a straight line such that after time, (seconds), the acceleration becomes (6-t/4)cm/s2. When the acceleration becomes zero, the velocity of the particle in cm/s is __________. (round off to 1 decimal place).


71.0 is the correct answer.


Ques 9 GATE 2020

A parallelepiped has edge vectors as shown below.

The volume of the parallelepiped is (round off to 1 decimal place).


87.0 is the correct answer.


Ques 10 GATE 2020

The difference between the sum of the first 2n natural numbers and the sum of the first n odd natural numbers is

A

n2-n

B

n2+n

C

2n2-n

D

2n2+n



Ques 11 GATE 2020

The distance between Delhi and Agra is 233 km. A car P started travelling from Delhi to Agra and another car Q started from Agra to Delhi along the same road 1 hour after the car P started. The two cars crossed each other 75 minutes after the car P started. Both cars were travelling at constant speed. The speed of car P was 10 km/hr more than the speed of car Q. How many kilometers the car Q had travelled when the cars crossed each other?

A

66.6

B

75.2

C

88.2

D

116.5



Ques 12 GATE 2020

For a matrix M=[mij]; i,j=1,2,3,4, the diagonal elements are all zero and mij=-mji. The minimum number of elements required to fully specify the matrix is

A

0

B

6

C

12

D

16



Ques 13 GATE 2020

The eigenvalues of the matrix

A

6,4

B

4,5

C

-2,5

D

-4,5



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