Mining Engineering Gate 2017 Questions with Answer

Ques 1 GATE 2017


If only two members form a truss joint and no external load or support reaction is applied to the joint, the members

A

have infinite force

B

have equal but opposite force

C

are zero-force members

D

have unequal forces


(c) is the correct answer.

Ques 2 GATE 2017


The beam shown in the figure is hinged at one end and rested on a roller at the other end. The free body diagram of the system is

A

B

C

D


(c) is the correct answer.

Ques 3 GATE 2017


Which one of the following plots represents the relationship xy=c, where c is a positive constant?

A

I

B

II

C

III

D

IV


(c) is the correct answer.

Ques 4 GATE 2017


F(y) and f(y) are the probability distribution function and density function respectively of a continuous variable Y in the interval (0,∞). Which one of the following is TRUE?

A

F(y)=∫y f(x)dx

B

F(y)=∫0y f(x)dx

C

F(y)=df(y)/dy

D

F(y)=1-f(y)


(b) is the correct answer.

Ques 5 GATE 2017


The position vector of a moving particle is given by r→(t)=t3i^+tj^+t2k^. The acceleration of the particle in the direction of the motion is

A

0

B

60i^+2k^

C

6ti^+4j^+2k^

D

6ti^+2k^


(d) is the correct answer.

Ques 6 GATE 2017


The value of

is

A

1/2

B

3/2

C

1

D

0


(a) is the correct answer.

Ques 7 GATE 2017


The y intercept of the tangent of curve y=x3-x2+x-1 at x=1 is


(-2.0 to -2.0) is the correct answer.

Ques 8 GATE 2017


A rectangle has two of its corners on the x axis and the other two on the parabola y=12-x2. The largest area of the rectangle is


(32 to 32) is the correct answer.

Ques 9 GATE 2017


The area of cross-section (x) of four rock samples and the respective applied loads (y) at failure under uniaxial loading are given below:

If the best fit line is y=4.88x, the coefficient of determination (R2) of the best fit line is


(0.96 to 0.98) is the correct answer.

Ques 10 GATE 2017


Consider the following linear programming problem:

The maximum value of the objective function is


(71 to 73) is the correct answer.

Ques 11 GATE 2017


The last digit of (2171)7+(2172)9+(2173)11+(2174)13 is

A

2

B

4

C

6

D

8


(b) is the correct answer.

Ques 12 GATE 2017


The old concert hall was demolished because of fears that the foundation would be affected by the construction of the new metro line in the area. Modern technology for underground metro construction tried to mitigate the impact of pressurized air pockets created by the excavation of large amounts of soil. But even with these safeguards, it was feared that the soil below the concert hall would not be stable.
From this, one can infer that

A

the foundations of old buildings create pressurized air pockets underground, which are difficult to handle during metro construction.

B

metro construction has to be done carefully considering its impact on the foundations of existing buildings.

C

old buildings in an area form an impossible hurdle to metro construction in that area.

D

pressurized air can be used to excavate large amounts of soil from underground areas.


(b) is the correct answer.

Ques 13 GATE 2017


Students applying for hostel rooms are allotted rooms in order of seniority. Students already staying in a room will move if they get a room in their preferred list. Preferences of lower ranked applicants are ignored during allocation.
Given the data below, which room will Ajit stay in?

A

P

B

Q

C

R

D

S


(b) is the correct answer.

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