Mining Engineering Gate 2024 Questions with Answer

Ques 1 GATE 2024


A student was supposed to multiply a positive real number p with another positive real number q. Instead, the student divided p by q. If the percentage error in the student's answer is 80%, the value of q is

A

5

B

√2

C

2

D

√5



Ques 2 GATE 2024


If the sum of the first 20 consecutive positive odd numbers is divided by 202, the result is

A

1

B

1/2

C

2

D

1/4



Ques 3 GATE 2024


The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is

A

150

B

200

C

250

D

175



Ques 4 GATE 2024


Seven identical cylindrical chalk-sticks are fitted tightly in a cylindrical container. The figure below shows the arrangement of the chalk-sticks inside the cylinder. The length of the container is equal to the length of the chalk-sticks. The ratio of the occupied space to the empty space of the container is

A

5/2

B

7/2

C

9/2

D

3



Ques 5 GATE 2024


The value of integral, I=∫0π/4cos x sin3x dx; is

A

1/64

B

1/16

C

1/4

D

1



Ques 6 GATE 2024


The value of

is

A

2n

B

3n/5

C

6n/5

D

5n/3



Ques 7 GATE 2024


Vectors a=2i+3j-4k and b=4i+2j+3k represent the two adjacent sides of a triangle. The magnitude of the area of the triangle and the unit vector perpendicular to both a and b respectively, are

A

28.93 and 0.58i-0.76j-0.27k

B

28.93 and 17.0i-22.0j-8.0k

C

14.46 and 0.58i-0.76j-0.27k

D

14.46 and 17.0i-22.0j-8.0k



Ques 8 GATE 2024


The root of the function, f(x)=x3-2x2+3x-1 in the interval using bisection method after two iterations, is ________ (round off up to 2 decimals)


0.25 is the correct answer.


Ques 9 GATE 2024


A solid ball of mass 10 kg is subjected to forces as shown. The magnitude of the acceleration in m/s2, is __________. (round off up to 2 decimals)


4.24 is the correct answer.


Ques 10 GATE 2024


If β†’ denotes increasing order of intensity, then the meaning of the words [drizzle rain β†’ downpour] is analogous to [ β†’ quarrel feud]. Which one of the given options is appropriate to fill the blank?

A

bicker

B

bog

C

dither

D

dodge



Ques 11 GATE 2024


Statements:
1. All heroes are winners.
2. All winners are lucky people.
Inferences:
I. All lucky people are heroes.
II. Some lucky people are heroes.
III. Some winners are heroes.
Which of the above inferences can be logically deduced from statements 1 and 2?

A

Only I and II

B

Only II and III

C

Only I and III

D

Only III



Ques 12 GATE 2024


In the given text, the blanks are numbered (i)-(iv). Select the best match for all the blanks.
___(i)____ Yoko Roi stands as an author for standing ___(ii)___ as an honorary ___(iii)___ fellow, after she stood ___(iv)____ the freedom of speech. her writings that stand

A

(i) out (ii) down (iii) in (iv) for

B

(i) down (ii) out (iii) for (iv) in

C

(i) down (ii) out (iii) for (iv) down

D

(i) out (ii) down (iii) for (iv) in



Ques 13 GATE 2024


The plot below shows the relationship between the mortality risk of cardiovascular disease and the number of steps a person walks per day. Based on the data, which one of the following options is true?

A

The risk reduction on increasing the steps/day from 0 to 10000 is less than the risk reduction on increasing the steps/day from 10000 to 20000.

B

The risk reduction on increasing the steps/day from 0 to 5000 is less than the risk reduction on increasing the steps/day from 15000 to 20000.

C

For any 5000 increment in steps/day the largest risk reduction occurs on going from 0 to 5000.

D

For any 5000 increment in steps/day the largest risk reduction occurs on going from 15000 to 20000.



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