Mining Engineering Gate 2018 Questions with Answer

Ques 1 GATE 2018


If pqr≠0 and p-x=1/q, q-y=1/r, r-z=1/p what is the value of the product xyz?

A

-1

B

1/pqr

C

1

D

pqr


(c) is the correct answer.

Ques 2 GATE 2018


A six sided unbiased die with four green faces and two red faces is rolled seven times. Which of the following combinations is the most likely outcome of the experiment?

A

Three green faces and four red faces.

B

Four green faces and three red faces.

C

Five green faces and two red faces.

D

Six green faces and one red face.


(c) is the correct answer.

Ques 3 GATE 2018


If

then XXT is

A

B

C

D


(b) is the correct answer.

Ques 4 GATE 2018


The values of x satisfying the following condition are

A

6,4

B

4,9

C

5,6

D

3,7


(d) is the correct answer.

Ques 5 GATE 2018


The degree of the differential equation d2x/dt2+2x3=0 is


(1.0) is the correct answer.

Ques 6 GATE 2018


The slope of the line connecting the points (20, 6) and (40, 8) is _________.


(0.1) is the correct answer.

Ques 7 GATE 2018


If c is a constant, the solution of the differential equation 4y dy/dx+9x=0 is

A

x2/81+y2/16=c

B

x2/16+y2/81=c

C

x2/9+y2/4=c

D

x2/4+y2/9=c


(c) is the correct answer.

Ques 8 GATE 2018


The feasible region of a linear programming problem is shown in the figure. The maximum value of the objective function Z=4X+3Y is ______________.


(74.0) is the correct answer.

Ques 9 GATE 2018


Sum of the series 5, 10, 15, 500, .............. is _____________.


(25250.0 to 25250.0) is the correct answer.

Ques 10 GATE 2018


The sample standard deviation for the following set of observations is ____________. 40, 45, 50 and 55


(6.4 to 6.5) is the correct answer.

Ques 11 GATE 2018


For the given function f(x,y)=(3+x)(4+y), the value of ∂f/∂x+∂f/∂y at x=2 and y=1 is ______________.


(10.0 to 10.0) is the correct answer.

Ques 12 GATE 2018


Given y=x2+x+6 the value of d/dx(ln y) at x=2 is _____________.


(0.40 to 0.45) is the correct answer.

Ques 13 GATE 2018


A force diagram is shown below. Considering clockwise moments to be positive, the resultant moment about A is ____________.


(-400.0) is the correct answer.

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