Page 1 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 1/16 PI : PRODUCTION AND INDUSTRIAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. 3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of 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. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ball point pen. Name Registration Number PI Page 2 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 1/16 PI : PRODUCTION AND INDUSTRIAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. 3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of 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. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ball point pen. Name Registration Number PI 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 2/16 Q. 1 – Q. 25 carry one mark each. Q.1 2 0 1 cos lim x x x ? ??? ?? ?? is (A) 1/4 (B) 1/2 (C) 1 (D) 2 Q.2 For the spherical surface 2 2 2 1 x y z ? ? ? , the unit outward normal vector at the point ( 11 , ,0 22 ) is given by (A) 11 ˆˆ 22 ij ? (B) 11 ˆˆ 22 ij ? (C) ˆ k (D) 1 1 1 ˆ ˆˆ 3 3 3 i j k ?? Q.3 Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0, f(x) is (A) continuous and differentiable. (B) non-continuous and differentiable. (C) continuous and non-differentiable. (D) neither continuous nor differentiable. Q.4 At x = 0, the function 3 ( ) 1 f x x ?? has (A) a maximum value (B) a minimum value (C) a singularity (D) a point of inflection Q.5 The area enclosed between the straight line y = x and the parabola y = x 2 in the x-y plane is (A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2 Q.6 For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is (A) 1 (B) 2 (C) 4 (D) 8 Q.7 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is (A) 0 (B) 1 (C) 1.08 (D) 2.02 Q.8 A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of the maximum deflection is (A) 2 2 ML EI (B) 2 ML EI (C) 2 2ML EI (D) 2 4ML EI Q.9 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is (A) 395 (B) 790 (C) 1580 (D) 3160 Page 3 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 1/16 PI : PRODUCTION AND INDUSTRIAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. 3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of 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. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ball point pen. Name Registration Number PI 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 2/16 Q. 1 – Q. 25 carry one mark each. Q.1 2 0 1 cos lim x x x ? ??? ?? ?? is (A) 1/4 (B) 1/2 (C) 1 (D) 2 Q.2 For the spherical surface 2 2 2 1 x y z ? ? ? , the unit outward normal vector at the point ( 11 , ,0 22 ) is given by (A) 11 ˆˆ 22 ij ? (B) 11 ˆˆ 22 ij ? (C) ˆ k (D) 1 1 1 ˆ ˆˆ 3 3 3 i j k ?? Q.3 Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0, f(x) is (A) continuous and differentiable. (B) non-continuous and differentiable. (C) continuous and non-differentiable. (D) neither continuous nor differentiable. Q.4 At x = 0, the function 3 ( ) 1 f x x ?? has (A) a maximum value (B) a minimum value (C) a singularity (D) a point of inflection Q.5 The area enclosed between the straight line y = x and the parabola y = x 2 in the x-y plane is (A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2 Q.6 For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is (A) 1 (B) 2 (C) 4 (D) 8 Q.7 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is (A) 0 (B) 1 (C) 1.08 (D) 2.02 Q.8 A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of the maximum deflection is (A) 2 2 ML EI (B) 2 ML EI (C) 2 2ML EI (D) 2 4ML EI Q.9 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is (A) 395 (B) 790 (C) 1580 (D) 3160 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 3/16 Q.10 In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is (A) 0.05 (B) 0.1 (C) 5.0 (D) 10.0 Q.11 Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are h f = 225.94 kJ/kg and h g = 2598.3 kJ/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is (A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 Q.12 An ideal gas of mass m and temperature T 1 undergoes a reversible isothermal process from an initial pressure P 1 to final pressure P 2 . The heat loss during the process is Q. The entropy change ?S of the gas is (A) 2 1 ln P mR P ?? ?? ?? (B) 1 2 ln P mR P ?? ?? ?? (C) 2 11 ln P Q mR PT ?? ? ?? ?? (D) zero Q.13 For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by the equation: (A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? Q.14 Which one of the following configurations has the highest fin effectiveness? (A) Thin, closely spaced fins (B) Thin, widely spaced fins (C) Thick, widely spaced fins (D) Thick, closely spaced fins Q.15 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m 3 /s. The head loss (in m) due to friction is (assume g = 9.81 m/s 2 ) (A) 116.18 (B) 0.116 (C) 18.22 (D) 232.36 Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is (A) 0 (B) 2.07 (C) 20.7 (D) 41.4 Note: All dimensions are in mm. 45 25 5 Page 4 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 1/16 PI : PRODUCTION AND INDUSTRIAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. 3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of 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. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ball point pen. Name Registration Number PI 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 2/16 Q. 1 – Q. 25 carry one mark each. Q.1 2 0 1 cos lim x x x ? ??? ?? ?? is (A) 1/4 (B) 1/2 (C) 1 (D) 2 Q.2 For the spherical surface 2 2 2 1 x y z ? ? ? , the unit outward normal vector at the point ( 11 , ,0 22 ) is given by (A) 11 ˆˆ 22 ij ? (B) 11 ˆˆ 22 ij ? (C) ˆ k (D) 1 1 1 ˆ ˆˆ 3 3 3 i j k ?? Q.3 Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0, f(x) is (A) continuous and differentiable. (B) non-continuous and differentiable. (C) continuous and non-differentiable. (D) neither continuous nor differentiable. Q.4 At x = 0, the function 3 ( ) 1 f x x ?? has (A) a maximum value (B) a minimum value (C) a singularity (D) a point of inflection Q.5 The area enclosed between the straight line y = x and the parabola y = x 2 in the x-y plane is (A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2 Q.6 For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is (A) 1 (B) 2 (C) 4 (D) 8 Q.7 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is (A) 0 (B) 1 (C) 1.08 (D) 2.02 Q.8 A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of the maximum deflection is (A) 2 2 ML EI (B) 2 ML EI (C) 2 2ML EI (D) 2 4ML EI Q.9 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is (A) 395 (B) 790 (C) 1580 (D) 3160 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 3/16 Q.10 In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is (A) 0.05 (B) 0.1 (C) 5.0 (D) 10.0 Q.11 Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are h f = 225.94 kJ/kg and h g = 2598.3 kJ/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is (A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 Q.12 An ideal gas of mass m and temperature T 1 undergoes a reversible isothermal process from an initial pressure P 1 to final pressure P 2 . The heat loss during the process is Q. The entropy change ?S of the gas is (A) 2 1 ln P mR P ?? ?? ?? (B) 1 2 ln P mR P ?? ?? ?? (C) 2 11 ln P Q mR PT ?? ? ?? ?? (D) zero Q.13 For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by the equation: (A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? Q.14 Which one of the following configurations has the highest fin effectiveness? (A) Thin, closely spaced fins (B) Thin, widely spaced fins (C) Thick, widely spaced fins (D) Thick, closely spaced fins Q.15 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m 3 /s. The head loss (in m) due to friction is (assume g = 9.81 m/s 2 ) (A) 116.18 (B) 0.116 (C) 18.22 (D) 232.36 Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is (A) 0 (B) 2.07 (C) 20.7 (D) 41.4 Note: All dimensions are in mm. 45 25 5 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 4/16 Q.17 In an interchangeable assembly, shafts of size 010 . 0 040 . 0 000 . 25 ? ? mm mate with holes of size 020 . 0 030 . 0 000 . 25 ? ? mm. The maximum interference (in microns) in the assembly is (A) 40 (B) 30 (C) 20 (D) 10 Q.18 A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is (A) 120 (B) 170 (C) 180 (D) 240 Q.19 Match the following metal forming processes with their associated stresses in the workpiece. Metal forming process Type of stress 1. Coining P. Tensile 2. Wire Drawing Q. Shear 3. Blanking R. Tensile and compressive 4. Deep Drawing S. Compressive (A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q (C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S Q.20 During normalizing process of steel, the specimen is heated (A) between the upper and lower critical temperature and cooled in still air. (B) above the upper critical temperature and cooled in furnace. (C) above the upper critical temperature and cooled in still air. (D) between the upper and lower critical temperature and cooled in furnace. Q.21 In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate (A) increases continuously. (B) decreases continuously. (C) decreases, becomes stable and then increases. (D) increases, becomes stable and then decreases. Q.22 Which one of the following is NOT a decision taken during the aggregate production planning stage? (A) Scheduling of machines (B) Amount of labour to be committed (C) Rate at which production should happen (D) Inventory to be carried forward Q.23 Which one of the following is NOT associated with the process of new product development? (A) QFD (B) FEMA (C) KANBAN (D) DFMA Page 5 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 1/16 PI : PRODUCTION AND INDUSTRIAL ENGINEERING Duration: Three Hours Maximum Marks: 100 Read the following instructions carefully. 1. Do not open the seal of the Question Booklet until you are asked to do so by the invigilator. 2. Take out the Optical Response Sheet (ORS) from this Question Booklet without breaking the seal and read the instructions printed on the ORS carefully. 3. On the right half of the ORS, using ONLY a black ink ball point pen, (i) darken the bubble corresponding to your test paper code and the appropriate bubble under each digit of your registration number and (ii) write your registration number, your name and name of the examination centre and put your signature at the specified location. 4. This Question Booklet contains 16 pages including blank pages for rough work. After you are permitted to open the seal, please check all pages and report discrepancies, if any, to the invigilator. 5. There are a total of 65 questions carrying 100 marks. All these questions are of objective type. Each question has only one correct answer. Questions must be answered on the left hand side of the ORS by darkening the appropriate bubble (marked A, B, C, D) using ONLY a black ink ball point pen against the question number. For each question darken the bubble of the correct answer. More than one answer bubbled against a question will be treated as an incorrect response. 6. Since bubbles darkened by the black ink ball point pen cannot be erased, candidates should darken the bubbles in the ORS very carefully. 7. Questions Q.1 – Q.25 carry 1 mark each. Questions Q.26 – Q.55 carry 2 marks each. The 2 marks questions include two pairs of common data questions and two pairs of 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. 8. Questions Q.56 – Q.65 belong to General Aptitude (GA) section and carry a total of 15 marks. Questions Q.56 – Q.60 carry 1 mark each, and questions Q.61 – Q.65 carry 2 marks each. 9. Unattempted questions will result in zero mark and wrong answers will result in NEGATIVE marks. For all 1 mark questions, ? mark will be deducted for each wrong answer. For all 2 marks questions, ? mark will be deducted for each wrong answer. However, in the case of the linked answer question pair, there will be negative marks only for wrong answer to the first question and no negative marks for wrong answer to the second question. 10. Calculator is allowed whereas charts, graph sheets or tables are NOT allowed in the examination hall. 11. Rough work can be done on the question paper itself. Blank pages are provided at the end of the question paper for rough work. 12. Before the start of the examination, write your name and registration number in the space provided below using a black ink ball point pen. Name Registration Number PI 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 2/16 Q. 1 – Q. 25 carry one mark each. Q.1 2 0 1 cos lim x x x ? ??? ?? ?? is (A) 1/4 (B) 1/2 (C) 1 (D) 2 Q.2 For the spherical surface 2 2 2 1 x y z ? ? ? , the unit outward normal vector at the point ( 11 , ,0 22 ) is given by (A) 11 ˆˆ 22 ij ? (B) 11 ˆˆ 22 ij ? (C) ˆ k (D) 1 1 1 ˆ ˆˆ 3 3 3 i j k ?? Q.3 Consider the function () f x x ? in the interval11 x ? ? ? . At the point x = 0, f(x) is (A) continuous and differentiable. (B) non-continuous and differentiable. (C) continuous and non-differentiable. (D) neither continuous nor differentiable. Q.4 At x = 0, the function 3 ( ) 1 f x x ?? has (A) a maximum value (B) a minimum value (C) a singularity (D) a point of inflection Q.5 The area enclosed between the straight line y = x and the parabola y = x 2 in the x-y plane is (A) 1/6 (B) 1/4 (C) 1/3 (D) 1/2 Q.6 For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is (A) 1 (B) 2 (C) 4 (D) 8 Q.7 A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is (A) 0 (B) 1 (C) 1.08 (D) 2.02 Q.8 A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young’s modulus is E. The magnitude of the maximum deflection is (A) 2 2 ML EI (B) 2 ML EI (C) 2 2ML EI (D) 2 4ML EI Q.9 A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is (A) 395 (B) 790 (C) 1580 (D) 3160 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 3/16 Q.10 In the mechanism given below, if the angular velocity of the eccentric circular disc is 1 rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is (A) 0.05 (B) 0.1 (C) 5.0 (D) 10.0 Q.11 Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0 kJ/kg and leaves as a saturated mixture at 15 kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapor at 15 kPa are h f = 225.94 kJ/kg and h g = 2598.3 kJ/kg respectively. The mass flow rate of steam is 10 kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is (A) 6.5 (B) 8.9 (C) 9.1 (D) 27.0 Q.12 An ideal gas of mass m and temperature T 1 undergoes a reversible isothermal process from an initial pressure P 1 to final pressure P 2 . The heat loss during the process is Q. The entropy change ?S of the gas is (A) 2 1 ln P mR P ?? ?? ?? (B) 1 2 ln P mR P ?? ?? ?? (C) 2 11 ln P Q mR PT ?? ? ?? ?? (D) zero Q.13 For an opaque surface, the absorptivity ? ? ? , transmissivity ? ? ? and reflectivity ? ? ? are related by the equation: (A) ? ? ? ?? (B) 0 ? ? ? ? ? ? (C) 1 ?? ?? (D) 0 ?? ?? Q.14 Which one of the following configurations has the highest fin effectiveness? (A) Thin, closely spaced fins (B) Thin, widely spaced fins (C) Thick, widely spaced fins (D) Thick, closely spaced fins Q.15 Oil flows through a 200 mm diameter horizontal cast iron pipe (friction factor, f = 0.0225) of length 500 m. The volumetric flow rate is 0.2 m 3 /s. The head loss (in m) due to friction is (assume g = 9.81 m/s 2 ) (A) 116.18 (B) 0.116 (C) 18.22 (D) 232.36 Q.16 A solid cylinder of diameter 100 mm and height 50 mm is forged between two frictionless flat dies to a height of 25 mm. The percentage change in diameter is (A) 0 (B) 2.07 (C) 20.7 (D) 41.4 Note: All dimensions are in mm. 45 25 5 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 4/16 Q.17 In an interchangeable assembly, shafts of size 010 . 0 040 . 0 000 . 25 ? ? mm mate with holes of size 020 . 0 030 . 0 000 . 25 ? ? mm. The maximum interference (in microns) in the assembly is (A) 40 (B) 30 (C) 20 (D) 10 Q.18 A CNC vertical milling machine has to cut a straight slot of 10 mm width and 2 mm depth by a cutter of 10 mm diameter between points (0, 0) and (100, 100) on the XY plane (dimensions in mm). The feed rate used for milling is 50 mm/min. Milling time for the slot (in seconds) is (A) 120 (B) 170 (C) 180 (D) 240 Q.19 Match the following metal forming processes with their associated stresses in the workpiece. Metal forming process Type of stress 1. Coining P. Tensile 2. Wire Drawing Q. Shear 3. Blanking R. Tensile and compressive 4. Deep Drawing S. Compressive (A) 1-S, 2-P, 3-Q, 4-R (B) 1-S, 2-P, 3-R, 4-Q (C) 1-P, 2-Q, 3-S, 4-R (D) 1-P, 2-R, 3-Q, 4-S Q.20 During normalizing process of steel, the specimen is heated (A) between the upper and lower critical temperature and cooled in still air. (B) above the upper critical temperature and cooled in furnace. (C) above the upper critical temperature and cooled in still air. (D) between the upper and lower critical temperature and cooled in furnace. Q.21 In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate (A) increases continuously. (B) decreases continuously. (C) decreases, becomes stable and then increases. (D) increases, becomes stable and then decreases. Q.22 Which one of the following is NOT a decision taken during the aggregate production planning stage? (A) Scheduling of machines (B) Amount of labour to be committed (C) Rate at which production should happen (D) Inventory to be carried forward Q.23 Which one of the following is NOT associated with the process of new product development? (A) QFD (B) FEMA (C) KANBAN (D) DFMA 2012 PRODUCTION & INDUSTRIAL ENGG. – PI PI 5/16 Q.24 A process needs to be standardized for method and time. Which one of the following represents the sequence of work study experiments? (A) Time study followed by method study (B) Only time study (C) Time study and method study simultaneously (D) Method study followed by time study Q.25 Reduction in the variability of manufactured product characteristics will definitely result in observations close to (A) the upper control limit in X chart. (B) the lower control limit in X chart. (C) the lower control limit in R chart. (D) the center line in R chart.Read More

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- Production and Industrial Engineering (PI) 2013 GATE Paper (Set D) with solution
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