Mining Engineering (MN) 2011 GATE Paper without solution - Notes | Study GATE Past Year Papers for Practice (All Branches) - GATE

 Page 1


2011                                                                                                                                                                                                    MINING ENGG. –  MN 
MN : MINING ENGINEERING 
ONLINE Examination  
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
1. Questions must be answered using computers provided by the GATE at the examination centers. Each 
computer shall run specialized examination software that permits a maximum of one answer to be selected 
for questions of multiple choice type.  
2. Your answers shall be updated and saved on the server periodically and at the end of the examination. The 
examination will automatically stop once the duration of the examination is over. 
3. There are a total of 65 questions carrying 100 marks. All questions are of multiple choice type. Each of 
these questions carries four choices for the answer labeled A, B, C and D. Only one of the four choices is 
the correct answer. 
4. Questions Q.1 – Q.25 carry 1-mark each, and questions Q.26 – Q.55 carry 2-marks each.  
5. Questions Q.48 – Q.51 (2 pairs) are common data questions and question pairs (Q.52, Q.53) and (Q.54, 
Q.55) are linked answer questions. The answer to the second question of the linked answer questions 
depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly 
answered or is unattempted, then the answer to the second question in the pair will not be evaluated. 
6. Questions Q.56 – Q.65 belong to General Aptitude (GA). Questions Q.56 – Q.60 carry 1-mark each, and 
questions Q.61 – Q.65 carry 2-marks each. 
7. Unattempted questions will result in zero mark. Wrong answers will result in NEGATIVE marks.  For 
Q.1 – Q.25 and Q.56 – Q.60, ? mark will be deducted for each wrong answer. For Q.26 – Q.51 and Q.61 
– Q.65, ? mark will be deducted for each wrong answer.  The question pairs (Q.52, Q.53), and (Q.54, 
Q.55) are questions with linked answers. There will be negative marks only for wrong answer to the first 
question of the linked answer question pair,  i.e. for Q.52 and Q.54, ? mark will be deducted for each 
wrong answer. There is no negative marking for Q.53 and Q.55.  
8. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
9. Rough work can be done in the specified area only.  
10. Candidates may use the back side of this page to record their answers for their own convenience. 
11. To login, type your Registration Number and password as per instructions provided in the envelope. 
12. In order to answer a question, you may select the question using the left side selection panel on the screen 
and choose the correct answer by clicking on the radio button next to the answer. The answered questions 
shall be indicated by a solid black ball on the selection panel. In order to change the answer, you may just 
click on another option. If you wish to leave a previously answered question unanswered, you may click 
on DESELECT ANSWER button. 
13. You may also select questions using NEXT and PREVIOUS buttons. 
14. You may also mark questions for reviewing later using MARK button. All marked questions are indicated 
by a rectangle in the selection panel. Questions which are answered but are marked for the review are 
indicated by a solid black rectangle and questions which are not answered but are marked for the review 
are indicated by an outlined rectangle in the selection panel. 
15. You must sign this sheet and leave it with the invigilators at the end of the examination. 
 
DECLARATION 
I hereby declare that I have read and followed all the instructions given in this sheet. 
 
Paper Code: MN    Registration No: __________________Name: _____________________________ 
 
 
                                                                                                                       Signature 
 
 
MN 
Page 2


2011                                                                                                                                                                                                    MINING ENGG. –  MN 
MN : MINING ENGINEERING 
ONLINE Examination  
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
1. Questions must be answered using computers provided by the GATE at the examination centers. Each 
computer shall run specialized examination software that permits a maximum of one answer to be selected 
for questions of multiple choice type.  
2. Your answers shall be updated and saved on the server periodically and at the end of the examination. The 
examination will automatically stop once the duration of the examination is over. 
3. There are a total of 65 questions carrying 100 marks. All questions are of multiple choice type. Each of 
these questions carries four choices for the answer labeled A, B, C and D. Only one of the four choices is 
the correct answer. 
4. Questions Q.1 – Q.25 carry 1-mark each, and questions Q.26 – Q.55 carry 2-marks each.  
5. Questions Q.48 – Q.51 (2 pairs) are common data questions and question pairs (Q.52, Q.53) and (Q.54, 
Q.55) are linked answer questions. The answer to the second question of the linked answer questions 
depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly 
answered or is unattempted, then the answer to the second question in the pair will not be evaluated. 
6. Questions Q.56 – Q.65 belong to General Aptitude (GA). Questions Q.56 – Q.60 carry 1-mark each, and 
questions Q.61 – Q.65 carry 2-marks each. 
7. Unattempted questions will result in zero mark. Wrong answers will result in NEGATIVE marks.  For 
Q.1 – Q.25 and Q.56 – Q.60, ? mark will be deducted for each wrong answer. For Q.26 – Q.51 and Q.61 
– Q.65, ? mark will be deducted for each wrong answer.  The question pairs (Q.52, Q.53), and (Q.54, 
Q.55) are questions with linked answers. There will be negative marks only for wrong answer to the first 
question of the linked answer question pair,  i.e. for Q.52 and Q.54, ? mark will be deducted for each 
wrong answer. There is no negative marking for Q.53 and Q.55.  
8. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
9. Rough work can be done in the specified area only.  
10. Candidates may use the back side of this page to record their answers for their own convenience. 
11. To login, type your Registration Number and password as per instructions provided in the envelope. 
12. In order to answer a question, you may select the question using the left side selection panel on the screen 
and choose the correct answer by clicking on the radio button next to the answer. The answered questions 
shall be indicated by a solid black ball on the selection panel. In order to change the answer, you may just 
click on another option. If you wish to leave a previously answered question unanswered, you may click 
on DESELECT ANSWER button. 
13. You may also select questions using NEXT and PREVIOUS buttons. 
14. You may also mark questions for reviewing later using MARK button. All marked questions are indicated 
by a rectangle in the selection panel. Questions which are answered but are marked for the review are 
indicated by a solid black rectangle and questions which are not answered but are marked for the review 
are indicated by an outlined rectangle in the selection panel. 
15. You must sign this sheet and leave it with the invigilators at the end of the examination. 
 
DECLARATION 
I hereby declare that I have read and followed all the instructions given in this sheet. 
 
Paper Code: MN    Registration No: __________________Name: _____________________________ 
 
 
                                                                                                                       Signature 
 
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Q. 1 – Q. 25 carry one mark each. 
A scatter plot prepared using a set of values of lead and zinc from a lead-zinc deposit is shown in 
figure below. The value of correlation coefficient is 
 
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
 
Q.1 
(A) 1.0 (B) 0.7 (C)  0.5 (D)  0 
 
The two vectors are orthonormal, if   
(A) vector product is zero and norm of each vector is also zero 
(B) vector product is one and norm of each vector is also one 
(C) cross product is zero and norm of each vector is one 
Q.2 
(D) cross product is one and norm of each vector is zero 
 
The value of 
? ?
0
1
lim 1 1
x
x x
x
?
?? ? is 
Q.3 
(A) 0 (B) 1 (C)  2 (D)  3 
 
The infinite series 
11 1
1
24 8
? ?? ? ?, is 
Q.4 
(A) convergent (B) divergent (C) oscillatory  (D)  semi-convergent 
 
The largest area of a rectangular shaft for a given constant perimeter is obtained when length is 
(A) 2.5 times of breadth (B) 1.5 times of breadth 
Q.5 
(C) 2 times of breadth (D) equal to breadth 
 
A drive shaft of an engine develops torque of 500 N-m. It rotates at a constant speed of 50 rpm. The 
power transmitted by the shaft in kW is 
Q.6 
(A) 1.46 (B) 2.05 (C)  2.62  (D)  4.32  
MN 
Page 3


2011                                                                                                                                                                                                    MINING ENGG. –  MN 
MN : MINING ENGINEERING 
ONLINE Examination  
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
1. Questions must be answered using computers provided by the GATE at the examination centers. Each 
computer shall run specialized examination software that permits a maximum of one answer to be selected 
for questions of multiple choice type.  
2. Your answers shall be updated and saved on the server periodically and at the end of the examination. The 
examination will automatically stop once the duration of the examination is over. 
3. There are a total of 65 questions carrying 100 marks. All questions are of multiple choice type. Each of 
these questions carries four choices for the answer labeled A, B, C and D. Only one of the four choices is 
the correct answer. 
4. Questions Q.1 – Q.25 carry 1-mark each, and questions Q.26 – Q.55 carry 2-marks each.  
5. Questions Q.48 – Q.51 (2 pairs) are common data questions and question pairs (Q.52, Q.53) and (Q.54, 
Q.55) are linked answer questions. The answer to the second question of the linked answer questions 
depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly 
answered or is unattempted, then the answer to the second question in the pair will not be evaluated. 
6. Questions Q.56 – Q.65 belong to General Aptitude (GA). Questions Q.56 – Q.60 carry 1-mark each, and 
questions Q.61 – Q.65 carry 2-marks each. 
7. Unattempted questions will result in zero mark. Wrong answers will result in NEGATIVE marks.  For 
Q.1 – Q.25 and Q.56 – Q.60, ? mark will be deducted for each wrong answer. For Q.26 – Q.51 and Q.61 
– Q.65, ? mark will be deducted for each wrong answer.  The question pairs (Q.52, Q.53), and (Q.54, 
Q.55) are questions with linked answers. There will be negative marks only for wrong answer to the first 
question of the linked answer question pair,  i.e. for Q.52 and Q.54, ? mark will be deducted for each 
wrong answer. There is no negative marking for Q.53 and Q.55.  
8. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
9. Rough work can be done in the specified area only.  
10. Candidates may use the back side of this page to record their answers for their own convenience. 
11. To login, type your Registration Number and password as per instructions provided in the envelope. 
12. In order to answer a question, you may select the question using the left side selection panel on the screen 
and choose the correct answer by clicking on the radio button next to the answer. The answered questions 
shall be indicated by a solid black ball on the selection panel. In order to change the answer, you may just 
click on another option. If you wish to leave a previously answered question unanswered, you may click 
on DESELECT ANSWER button. 
13. You may also select questions using NEXT and PREVIOUS buttons. 
14. You may also mark questions for reviewing later using MARK button. All marked questions are indicated 
by a rectangle in the selection panel. Questions which are answered but are marked for the review are 
indicated by a solid black rectangle and questions which are not answered but are marked for the review 
are indicated by an outlined rectangle in the selection panel. 
15. You must sign this sheet and leave it with the invigilators at the end of the examination. 
 
DECLARATION 
I hereby declare that I have read and followed all the instructions given in this sheet. 
 
Paper Code: MN    Registration No: __________________Name: _____________________________ 
 
 
                                                                                                                       Signature 
 
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Q. 1 – Q. 25 carry one mark each. 
A scatter plot prepared using a set of values of lead and zinc from a lead-zinc deposit is shown in 
figure below. The value of correlation coefficient is 
 
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
 
Q.1 
(A) 1.0 (B) 0.7 (C)  0.5 (D)  0 
 
The two vectors are orthonormal, if   
(A) vector product is zero and norm of each vector is also zero 
(B) vector product is one and norm of each vector is also one 
(C) cross product is zero and norm of each vector is one 
Q.2 
(D) cross product is one and norm of each vector is zero 
 
The value of 
? ?
0
1
lim 1 1
x
x x
x
?
?? ? is 
Q.3 
(A) 0 (B) 1 (C)  2 (D)  3 
 
The infinite series 
11 1
1
24 8
? ?? ? ?, is 
Q.4 
(A) convergent (B) divergent (C) oscillatory  (D)  semi-convergent 
 
The largest area of a rectangular shaft for a given constant perimeter is obtained when length is 
(A) 2.5 times of breadth (B) 1.5 times of breadth 
Q.5 
(C) 2 times of breadth (D) equal to breadth 
 
A drive shaft of an engine develops torque of 500 N-m. It rotates at a constant speed of 50 rpm. The 
power transmitted by the shaft in kW is 
Q.6 
(A) 1.46 (B) 2.05 (C)  2.62  (D)  4.32  
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
A mine winder cage traveling 450 m from pit bottom to pit top is following a three period duty 
cycle as shown in the figure below. The maximum velocity attained by the cage in m/s is  
 
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
 
Q.7 
(A) 7.5 (B) 9.0 (C)  11.0 (D)  12.0 
 
Stress  concentration  at  a   point  on the  wall of a  vertical shaft results in a compressive stress of  
59.66 MPa. The wall rock mass has an unconfined compressive strength of 89.49 MPa. The safety 
factor of the shaft wall at the point is 
Q.8 
(A) 0.67 (B) 0.86 (C)  1.23 (D) 1.50 
 
A core sample of 54 mm diameter having Young’s modulus of 68.97 GPa fails in uniaxial 
compression at 0.1% axial strain. The axial load at failure in kN is 
Q.9 
(A) 158.00 (B) 68.97 (C)  58.00 (D)  15.80 
 
The maximum number of coal faces in an underground bord and pillar development district is 13. 
The number of headings in the district is 
Q.10 
(A) 3 (B) 5 (C)  6 (D) 7 
 
The whole circle bearing of the line AB is
0
116 20 20 ? ?? . If there exists an east declination of , the 
true quadrantal bearing of line AB is  
0
20
Q.11 
     
(A)  
0
S41 59 40 E ??? (B) 
0
S43 39 40 E ? ?? (C)  
0
S45 59 40 W ? ?? (D)   
0
S47 59 40 W ???
 
It is proposed to connect two straights of a road by a simple circular curve. If the maximum speed 
of the vehicle is 60 km/h and the centrifugal ratio for the road is 1/4, the minimum radius of the 
curve in m is 
Q.12 
(A) 113.26 (B) 98.18 (C)  25.46 (D)  15.50 
 
A centrifugal fan rotating at 500 rpm delivers 70 m
3
/s of air. If the speed is reduced to 200 rpm, the 
quantity of air delivered in m
3
/s  will be 
Q.13 
(A) 175 (B) 55 (C)  28 (D)  11 
 
According to mine regulations, the value of the fleet angle a, in degree  of a drum winder 
installation lies in the range of 
Q.14 
(A) 1.5< a=2.0 (B) 0< a =1.5 (C)  2.0< a =2.5 (D) 2.5< a =3.0 
 
Water will not be delivered by a centrifugal pump due to 
(A) lack of priming (B) too low discharge head 
Q.15 
(C) wrong direction of rotation (D) partial obstruction at discharge outlet 
 
MN 
Page 4


2011                                                                                                                                                                                                    MINING ENGG. –  MN 
MN : MINING ENGINEERING 
ONLINE Examination  
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
1. Questions must be answered using computers provided by the GATE at the examination centers. Each 
computer shall run specialized examination software that permits a maximum of one answer to be selected 
for questions of multiple choice type.  
2. Your answers shall be updated and saved on the server periodically and at the end of the examination. The 
examination will automatically stop once the duration of the examination is over. 
3. There are a total of 65 questions carrying 100 marks. All questions are of multiple choice type. Each of 
these questions carries four choices for the answer labeled A, B, C and D. Only one of the four choices is 
the correct answer. 
4. Questions Q.1 – Q.25 carry 1-mark each, and questions Q.26 – Q.55 carry 2-marks each.  
5. Questions Q.48 – Q.51 (2 pairs) are common data questions and question pairs (Q.52, Q.53) and (Q.54, 
Q.55) are linked answer questions. The answer to the second question of the linked answer questions 
depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly 
answered or is unattempted, then the answer to the second question in the pair will not be evaluated. 
6. Questions Q.56 – Q.65 belong to General Aptitude (GA). Questions Q.56 – Q.60 carry 1-mark each, and 
questions Q.61 – Q.65 carry 2-marks each. 
7. Unattempted questions will result in zero mark. Wrong answers will result in NEGATIVE marks.  For 
Q.1 – Q.25 and Q.56 – Q.60, ? mark will be deducted for each wrong answer. For Q.26 – Q.51 and Q.61 
– Q.65, ? mark will be deducted for each wrong answer.  The question pairs (Q.52, Q.53), and (Q.54, 
Q.55) are questions with linked answers. There will be negative marks only for wrong answer to the first 
question of the linked answer question pair,  i.e. for Q.52 and Q.54, ? mark will be deducted for each 
wrong answer. There is no negative marking for Q.53 and Q.55.  
8. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
9. Rough work can be done in the specified area only.  
10. Candidates may use the back side of this page to record their answers for their own convenience. 
11. To login, type your Registration Number and password as per instructions provided in the envelope. 
12. In order to answer a question, you may select the question using the left side selection panel on the screen 
and choose the correct answer by clicking on the radio button next to the answer. The answered questions 
shall be indicated by a solid black ball on the selection panel. In order to change the answer, you may just 
click on another option. If you wish to leave a previously answered question unanswered, you may click 
on DESELECT ANSWER button. 
13. You may also select questions using NEXT and PREVIOUS buttons. 
14. You may also mark questions for reviewing later using MARK button. All marked questions are indicated 
by a rectangle in the selection panel. Questions which are answered but are marked for the review are 
indicated by a solid black rectangle and questions which are not answered but are marked for the review 
are indicated by an outlined rectangle in the selection panel. 
15. You must sign this sheet and leave it with the invigilators at the end of the examination. 
 
DECLARATION 
I hereby declare that I have read and followed all the instructions given in this sheet. 
 
Paper Code: MN    Registration No: __________________Name: _____________________________ 
 
 
                                                                                                                       Signature 
 
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Q. 1 – Q. 25 carry one mark each. 
A scatter plot prepared using a set of values of lead and zinc from a lead-zinc deposit is shown in 
figure below. The value of correlation coefficient is 
 
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
 
Q.1 
(A) 1.0 (B) 0.7 (C)  0.5 (D)  0 
 
The two vectors are orthonormal, if   
(A) vector product is zero and norm of each vector is also zero 
(B) vector product is one and norm of each vector is also one 
(C) cross product is zero and norm of each vector is one 
Q.2 
(D) cross product is one and norm of each vector is zero 
 
The value of 
? ?
0
1
lim 1 1
x
x x
x
?
?? ? is 
Q.3 
(A) 0 (B) 1 (C)  2 (D)  3 
 
The infinite series 
11 1
1
24 8
? ?? ? ?, is 
Q.4 
(A) convergent (B) divergent (C) oscillatory  (D)  semi-convergent 
 
The largest area of a rectangular shaft for a given constant perimeter is obtained when length is 
(A) 2.5 times of breadth (B) 1.5 times of breadth 
Q.5 
(C) 2 times of breadth (D) equal to breadth 
 
A drive shaft of an engine develops torque of 500 N-m. It rotates at a constant speed of 50 rpm. The 
power transmitted by the shaft in kW is 
Q.6 
(A) 1.46 (B) 2.05 (C)  2.62  (D)  4.32  
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
A mine winder cage traveling 450 m from pit bottom to pit top is following a three period duty 
cycle as shown in the figure below. The maximum velocity attained by the cage in m/s is  
 
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
 
Q.7 
(A) 7.5 (B) 9.0 (C)  11.0 (D)  12.0 
 
Stress  concentration  at  a   point  on the  wall of a  vertical shaft results in a compressive stress of  
59.66 MPa. The wall rock mass has an unconfined compressive strength of 89.49 MPa. The safety 
factor of the shaft wall at the point is 
Q.8 
(A) 0.67 (B) 0.86 (C)  1.23 (D) 1.50 
 
A core sample of 54 mm diameter having Young’s modulus of 68.97 GPa fails in uniaxial 
compression at 0.1% axial strain. The axial load at failure in kN is 
Q.9 
(A) 158.00 (B) 68.97 (C)  58.00 (D)  15.80 
 
The maximum number of coal faces in an underground bord and pillar development district is 13. 
The number of headings in the district is 
Q.10 
(A) 3 (B) 5 (C)  6 (D) 7 
 
The whole circle bearing of the line AB is
0
116 20 20 ? ?? . If there exists an east declination of , the 
true quadrantal bearing of line AB is  
0
20
Q.11 
     
(A)  
0
S41 59 40 E ??? (B) 
0
S43 39 40 E ? ?? (C)  
0
S45 59 40 W ? ?? (D)   
0
S47 59 40 W ???
 
It is proposed to connect two straights of a road by a simple circular curve. If the maximum speed 
of the vehicle is 60 km/h and the centrifugal ratio for the road is 1/4, the minimum radius of the 
curve in m is 
Q.12 
(A) 113.26 (B) 98.18 (C)  25.46 (D)  15.50 
 
A centrifugal fan rotating at 500 rpm delivers 70 m
3
/s of air. If the speed is reduced to 200 rpm, the 
quantity of air delivered in m
3
/s  will be 
Q.13 
(A) 175 (B) 55 (C)  28 (D)  11 
 
According to mine regulations, the value of the fleet angle a, in degree  of a drum winder 
installation lies in the range of 
Q.14 
(A) 1.5< a=2.0 (B) 0< a =1.5 (C)  2.0< a =2.5 (D) 2.5< a =3.0 
 
Water will not be delivered by a centrifugal pump due to 
(A) lack of priming (B) too low discharge head 
Q.15 
(C) wrong direction of rotation (D) partial obstruction at discharge outlet 
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Match the following  
 
Mine car type Mode of unloading 
 
P. Granby 1. Bottom opening 
Q. Gable bottom 2. Both side tilting 
R. Drop bottom 3. Single side opening 
S. Rocker dump 4. Both side opening  
 
(A) P-2, Q-4, R-3, S-1 (B) P-4, Q-1, R-3, S-2 
Q.16 
(C) P-3, Q-1, R-4, S-2 (D) P-3, Q-4, R-1, S-2 
 
Mean air temperature of a 450 m deep downcast shaft is 29 
0
C and that of the upcast shaft is 37 
0
C. 
The height of the motive column in m is  
Q.17 
(A) 8.2  (B) 9.5  (C)  11.6  (D)  12.8  
 
The total pressure and the static pressure measured at a point in a ventilation duct are 20 mm and  
10 mm of water gauge respectively. If density of air is 1.2 kg/m
3
, 
 
the velocity of the air in m/s is  
Q.18 
(A) 14.08 (B) 12.78 (C)  8.53 (D)  6.24 
 
The type of fire extinguisher that must NOT be used in case of fire in an electric substation located 
in an underground metal mine is 
(A) multi-purpose dry chemical extinguisher (B) CO
2 
snow extinguisher 
Q.19 
(C) dry chemical powder extinguisher (D) foam extinguisher 
 
ISO 9000 Quality Systems DO NOT contain  Q.20 
(A) legal provisions (B) measurement (C)  document control (D)  standardization 
 
Air samples collected from the intake and the return gates of a retreating longwall face show 
methane concentration values of 0.1 % and 0.8 % respectively. The production from the longwall 
face is 2000 tonne/day and the air quantity circulating the face is 15 m
3
/s. The rate of methane 
emission in m
3
 per tonne of coal produced is 
Q.21 
(A) 11.0 (B) 9.5 (C)  5.5 (D) 4.5 
 
The time study data of an equipment deployed in a mine during a calendar month is given below.   
 
Total working hours  = 400 
Total maintenance hours = 100   
Total hours of actual work = 240  
 
The percentage of utilization of the equipment is 
Q.22 
(A) 85 (B) 80 (C)  65 (D)  60 
 
100 ml of waste water is allowed to evaporate in a dish weighing 48.6232 g. The weight of the dish 
with dry solids is 48.6432 g. The concentration of dry solids in waste water in mg/l is 
Q.23 
(A) 200 (B) 220 (C)  260 (D)  320 
 
A longwall face cut by double back shuffle method can be only worked with  
(A) fixed drum shearer (B) single ended ranging drum shearer 
Q.24 
(C) double ended ranging drum shearer (D) plough  
 
MN 
Page 5


2011                                                                                                                                                                                                    MINING ENGG. –  MN 
MN : MINING ENGINEERING 
ONLINE Examination  
 
Duration: Three Hours                          Maximum Marks: 100 
Read the following instructions carefully. 
1. Questions must be answered using computers provided by the GATE at the examination centers. Each 
computer shall run specialized examination software that permits a maximum of one answer to be selected 
for questions of multiple choice type.  
2. Your answers shall be updated and saved on the server periodically and at the end of the examination. The 
examination will automatically stop once the duration of the examination is over. 
3. There are a total of 65 questions carrying 100 marks. All questions are of multiple choice type. Each of 
these questions carries four choices for the answer labeled A, B, C and D. Only one of the four choices is 
the correct answer. 
4. Questions Q.1 – Q.25 carry 1-mark each, and questions Q.26 – Q.55 carry 2-marks each.  
5. Questions Q.48 – Q.51 (2 pairs) are common data questions and question pairs (Q.52, Q.53) and (Q.54, 
Q.55) are linked answer questions. The answer to the second question of the linked answer questions 
depends on the answer to the first question of the pair. If the first question in the linked pair is wrongly 
answered or is unattempted, then the answer to the second question in the pair will not be evaluated. 
6. Questions Q.56 – Q.65 belong to General Aptitude (GA). Questions Q.56 – Q.60 carry 1-mark each, and 
questions Q.61 – Q.65 carry 2-marks each. 
7. Unattempted questions will result in zero mark. Wrong answers will result in NEGATIVE marks.  For 
Q.1 – Q.25 and Q.56 – Q.60, ? mark will be deducted for each wrong answer. For Q.26 – Q.51 and Q.61 
– Q.65, ? mark will be deducted for each wrong answer.  The question pairs (Q.52, Q.53), and (Q.54, 
Q.55) are questions with linked answers. There will be negative marks only for wrong answer to the first 
question of the linked answer question pair,  i.e. for Q.52 and Q.54, ? mark will be deducted for each 
wrong answer. There is no negative marking for Q.53 and Q.55.  
8. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 
9. Rough work can be done in the specified area only.  
10. Candidates may use the back side of this page to record their answers for their own convenience. 
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I hereby declare that I have read and followed all the instructions given in this sheet. 
 
Paper Code: MN    Registration No: __________________Name: _____________________________ 
 
 
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MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Q. 1 – Q. 25 carry one mark each. 
A scatter plot prepared using a set of values of lead and zinc from a lead-zinc deposit is shown in 
figure below. The value of correlation coefficient is 
 
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
1
(Not to scale)
1
8
1 8
zinc (%)
lead (%)
(Not to scale)
 
Q.1 
(A) 1.0 (B) 0.7 (C)  0.5 (D)  0 
 
The two vectors are orthonormal, if   
(A) vector product is zero and norm of each vector is also zero 
(B) vector product is one and norm of each vector is also one 
(C) cross product is zero and norm of each vector is one 
Q.2 
(D) cross product is one and norm of each vector is zero 
 
The value of 
? ?
0
1
lim 1 1
x
x x
x
?
?? ? is 
Q.3 
(A) 0 (B) 1 (C)  2 (D)  3 
 
The infinite series 
11 1
1
24 8
? ?? ? ?, is 
Q.4 
(A) convergent (B) divergent (C) oscillatory  (D)  semi-convergent 
 
The largest area of a rectangular shaft for a given constant perimeter is obtained when length is 
(A) 2.5 times of breadth (B) 1.5 times of breadth 
Q.5 
(C) 2 times of breadth (D) equal to breadth 
 
A drive shaft of an engine develops torque of 500 N-m. It rotates at a constant speed of 50 rpm. The 
power transmitted by the shaft in kW is 
Q.6 
(A) 1.46 (B) 2.05 (C)  2.62  (D)  4.32  
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
A mine winder cage traveling 450 m from pit bottom to pit top is following a three period duty 
cycle as shown in the figure below. The maximum velocity attained by the cage in m/s is  
 
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
Time
Velocity
10 s
40 s 10 s
Time
Velocity
10 s
40 s 10 s
(m/s)
 
Q.7 
(A) 7.5 (B) 9.0 (C)  11.0 (D)  12.0 
 
Stress  concentration  at  a   point  on the  wall of a  vertical shaft results in a compressive stress of  
59.66 MPa. The wall rock mass has an unconfined compressive strength of 89.49 MPa. The safety 
factor of the shaft wall at the point is 
Q.8 
(A) 0.67 (B) 0.86 (C)  1.23 (D) 1.50 
 
A core sample of 54 mm diameter having Young’s modulus of 68.97 GPa fails in uniaxial 
compression at 0.1% axial strain. The axial load at failure in kN is 
Q.9 
(A) 158.00 (B) 68.97 (C)  58.00 (D)  15.80 
 
The maximum number of coal faces in an underground bord and pillar development district is 13. 
The number of headings in the district is 
Q.10 
(A) 3 (B) 5 (C)  6 (D) 7 
 
The whole circle bearing of the line AB is
0
116 20 20 ? ?? . If there exists an east declination of , the 
true quadrantal bearing of line AB is  
0
20
Q.11 
     
(A)  
0
S41 59 40 E ??? (B) 
0
S43 39 40 E ? ?? (C)  
0
S45 59 40 W ? ?? (D)   
0
S47 59 40 W ???
 
It is proposed to connect two straights of a road by a simple circular curve. If the maximum speed 
of the vehicle is 60 km/h and the centrifugal ratio for the road is 1/4, the minimum radius of the 
curve in m is 
Q.12 
(A) 113.26 (B) 98.18 (C)  25.46 (D)  15.50 
 
A centrifugal fan rotating at 500 rpm delivers 70 m
3
/s of air. If the speed is reduced to 200 rpm, the 
quantity of air delivered in m
3
/s  will be 
Q.13 
(A) 175 (B) 55 (C)  28 (D)  11 
 
According to mine regulations, the value of the fleet angle a, in degree  of a drum winder 
installation lies in the range of 
Q.14 
(A) 1.5< a=2.0 (B) 0< a =1.5 (C)  2.0< a =2.5 (D) 2.5< a =3.0 
 
Water will not be delivered by a centrifugal pump due to 
(A) lack of priming (B) too low discharge head 
Q.15 
(C) wrong direction of rotation (D) partial obstruction at discharge outlet 
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Match the following  
 
Mine car type Mode of unloading 
 
P. Granby 1. Bottom opening 
Q. Gable bottom 2. Both side tilting 
R. Drop bottom 3. Single side opening 
S. Rocker dump 4. Both side opening  
 
(A) P-2, Q-4, R-3, S-1 (B) P-4, Q-1, R-3, S-2 
Q.16 
(C) P-3, Q-1, R-4, S-2 (D) P-3, Q-4, R-1, S-2 
 
Mean air temperature of a 450 m deep downcast shaft is 29 
0
C and that of the upcast shaft is 37 
0
C. 
The height of the motive column in m is  
Q.17 
(A) 8.2  (B) 9.5  (C)  11.6  (D)  12.8  
 
The total pressure and the static pressure measured at a point in a ventilation duct are 20 mm and  
10 mm of water gauge respectively. If density of air is 1.2 kg/m
3
, 
 
the velocity of the air in m/s is  
Q.18 
(A) 14.08 (B) 12.78 (C)  8.53 (D)  6.24 
 
The type of fire extinguisher that must NOT be used in case of fire in an electric substation located 
in an underground metal mine is 
(A) multi-purpose dry chemical extinguisher (B) CO
2 
snow extinguisher 
Q.19 
(C) dry chemical powder extinguisher (D) foam extinguisher 
 
ISO 9000 Quality Systems DO NOT contain  Q.20 
(A) legal provisions (B) measurement (C)  document control (D)  standardization 
 
Air samples collected from the intake and the return gates of a retreating longwall face show 
methane concentration values of 0.1 % and 0.8 % respectively. The production from the longwall 
face is 2000 tonne/day and the air quantity circulating the face is 15 m
3
/s. The rate of methane 
emission in m
3
 per tonne of coal produced is 
Q.21 
(A) 11.0 (B) 9.5 (C)  5.5 (D) 4.5 
 
The time study data of an equipment deployed in a mine during a calendar month is given below.   
 
Total working hours  = 400 
Total maintenance hours = 100   
Total hours of actual work = 240  
 
The percentage of utilization of the equipment is 
Q.22 
(A) 85 (B) 80 (C)  65 (D)  60 
 
100 ml of waste water is allowed to evaporate in a dish weighing 48.6232 g. The weight of the dish 
with dry solids is 48.6432 g. The concentration of dry solids in waste water in mg/l is 
Q.23 
(A) 200 (B) 220 (C)  260 (D)  320 
 
A longwall face cut by double back shuffle method can be only worked with  
(A) fixed drum shearer (B) single ended ranging drum shearer 
Q.24 
(C) double ended ranging drum shearer (D) plough  
 
MN 
2011                                                                                                                                                                                                    MINING ENGG. –  MN 
Proximate analysis of 50 g of a coal sample shows the following:  
 
Moisture  = 0.80 g 
Ash   = 7.85 g 
Volatile matter  = 15.90 g  
 
The fixed carbon in percentage on a dry, ash free basis is 
Q.25 
(A) 83 (B) 66 (C)  55 (D)  45 
 
 
Q. 26 to Q. 55 carry two marks each. 
For an oil exploration drilling, chance of striking an oil reservoir is 1 out of 15. If an oil exploration 
company decides to explore 5 sites, the probability of striking at least one successful oil reservoir is 
Q.26 
(A) 0.292 (B) 0.250 (C)  0.034 (D)  0.0024 
 
Product of the eigen values of the matrix A is  
A =  
325
22 1
154
??
??
??
??
??
Q.27 
(A) 6 (B) 8 (C)  10 (D)  35 
 
For the equation 23
dy
x y
dx
?? , the value of y at x = 0.1 in one step using Runge-Kutta fourth 
order method for the condition 1 y ? when 0 x ? , is 
Q.28 
(A) 0.3608 (B) 1.2508 (C)  1.3608 (D)  1.4625 
 
Value of the integral 
1
0
1
1
x
dx
x
?
?
?
 is 
Q.29 
(A) 1
2
?
? (B) 1
2
?
? (C)  1 ? ? (D)  1 ? ? 
 
A 1 tonne mine car traveling at a constant speed of 10 km/h collides with a stationary buffer and 
comes to rest. If the buffer spring stiffness is 200 kN/m, the maximum compression in the spring in 
mm is 
Q.30 
(A) 49 (B) 98 (C) 196 (D) 247 
 
MN