Mining Engineering Gate Yearwise 


Mining Engineering Gate 2021 Questions with Answer

Ques 1 GATE 2021

Two identical cube shaped dice each with faces numbered 1 to 6 are rolled simultaneously. The probability that an even number is rolled out on each dice is

A

1/36

B

1/12

C

1/8

D

1/4


(d) is the correct answer.

Ques 2 GATE 2021

⊙ and ⊕ are two operators on numbers p and q such that
p⊙q=p-q, and p⊕q=p×q
Then, (9⊙(6⊕7))⊙(7⊕(6⊙5))=

A

40

B

-26

C

-33

D

-40


(d) is the correct answer.

Ques 3 GATE 2021

Four persons P, Q, R and S are to be seated in a row. R should not be seated at the second position from the left end of the row. The number of distinct seating arrangements possible is

A

6

B

9

C

18

D

24


(c) is the correct answer.

Ques 4 GATE 2021

On a planar field, you travelled 3 units East from a point O. Next you travelled 4 units South to arrive at point P. Then you travelled from P in the North-East direction such that you arrive at a point that is 6 units East of point O. Next, you travelled in the North-West direction, so that you arrive at point Q that is 8 units North of point P.
The distance of point Q to point O, in the same units, should be ________.

A

3

B

4

C

5

D

6


(c) is the correct answer.

Ques 5 GATE 2021

In the figure shown above, PQRS is a square. The shaded portion is formed by the intersection of sectors of circles with radius equal to the side of the square and centers at S and Q. The probability that any point picked randomly within the square falls in the shaded area is ___________.

A

4-π/2

B

1/2

C

π/2-1

D

π/4


(c) is the correct answer.

Ques 6 GATE 2021

In an equilateral triangle PQR, side PQ is divided into four equal parts, side QR is divided into six equal parts and side PR is divided into eight equal parts. The length of each subdivided part in cm is an integer.
The minimum area of the triangle PQR possible, in cm2, is

A

18

B

24

C

48√3

D

144√3


(d) is the correct answer.

Ques 7 GATE 2021

The measures of dispersion of a dataset are

A

standard deviation, range and mode.

B

standard deviation, range and interquartile range.

C

variance, range and median.

D

interquartile range, median and mode.


(b) is the correct answer.

Ques 8 GATE 2021

The vectors a→ and b→ act in a plane as shown below. The magnitude of the vector

A

zero.

B

half to the area bounded by the vectors a→ and b→.

C

equal to the area bounded by the vectors a→ and b→.

D

twice the area bounded by the vectors a→ and b→.


(d) is the correct answer.

Ques 9 GATE 2021

The value of the integral I=∫04√x dx computed using Simpson's 1/3 rule with 2 subintervals is ________ [round off to 3 decimal places]


(5.000) is the correct answer.

Ques 10 GATE 2021

The value of

A

0.

B

b2/2

C

∞.

D

b2


(b) is the correct answer.

Ques 11 GATE 2021

In order to check whether iron ore is supplied to the specification of 62% Fe, a steel company has conducted a hypothesis test with the null hypothesis as Ho: μFe=62% and alternative hypothesis Ha: μFe<62%. A random sample of 5 observations reveal the following grade values of the lot, 58%, 56%, 60%, 64%, 62%. The t-test statistic for the hypothesis is

A

-3.000

B

1.414

C

-1.414

D

3.000


(c) is the correct answer.

Ques 12 GATE 2021

Assume that COVID-19 growth rate of number of infections per day (c) in a certain population is represented by the following differential equation. 100 dc/dt-7 c=0 Where, t stands for time in days. Time taken for the number of infections per day to double, in days, is ________. [round off to the nearest integer]


(9) is the correct answer.

Ques 13 GATE 2021

A random variable X is defined by

The value of E(X2) is [round off to one decimal place]


(6.0) is the correct answer.

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