Page 1 GATE ME - 1995 1. Choose answer and indicate by writing only the corresponding capital letter (A, B, C, D) as the case may be). 1.1 The manufacturing area of a plat is divided into four quadrants. Four machines have to be located, one in each quadrant. The total number of possible layouts is: (a) 4 (b) 8 (c) 16 (d) 2 1.2 The function ( ) 1 f x x = + on the interval 2,0 - ? ? ? ? is: (a) continuous and differentiable (b) continuous on the integral but not differentiable at all points (c) neither continuous nor differentiable (d) differentiable but not continuous 1.3 If V ur is a differentiable vector function and f is a sufficient differentiable scalar function, then curl ( ) fV ur is equal to (a) ( ) ( ) ( ) f curl grad V f V × + ur ur (b) O ur (c) ( ) curl f V ur (d) ( ) ( ) grade f V × ur 1.4 If the demand for an item is doubled and the ordering cost halved, the economic order quantity (a) remains unchanged (b) increases by a factor of 2 (c) is doubled (d) is halved 1.5 In PERT, the distribution of activity times is assumed to be (a) Normal (b) Gamma (c) Beta (d) Exponential 1.6 Statistical quality control was developed by (a) Frederick Taylor (b) Water Shewhart (c) George Dantzing (d) W.E. Deming 1.7 Among the conventional machining processes, maximum specific energy is consumed in (a) turning (b) drilling (c) planing (d) grinding 1.8 Cutting power consumption in turning can be significantly reduced by (a) increasing rake angle of the tool Page 2 GATE ME - 1995 1. Choose answer and indicate by writing only the corresponding capital letter (A, B, C, D) as the case may be). 1.1 The manufacturing area of a plat is divided into four quadrants. Four machines have to be located, one in each quadrant. The total number of possible layouts is: (a) 4 (b) 8 (c) 16 (d) 2 1.2 The function ( ) 1 f x x = + on the interval 2,0 - ? ? ? ? is: (a) continuous and differentiable (b) continuous on the integral but not differentiable at all points (c) neither continuous nor differentiable (d) differentiable but not continuous 1.3 If V ur is a differentiable vector function and f is a sufficient differentiable scalar function, then curl ( ) fV ur is equal to (a) ( ) ( ) ( ) f curl grad V f V × + ur ur (b) O ur (c) ( ) curl f V ur (d) ( ) ( ) grade f V × ur 1.4 If the demand for an item is doubled and the ordering cost halved, the economic order quantity (a) remains unchanged (b) increases by a factor of 2 (c) is doubled (d) is halved 1.5 In PERT, the distribution of activity times is assumed to be (a) Normal (b) Gamma (c) Beta (d) Exponential 1.6 Statistical quality control was developed by (a) Frederick Taylor (b) Water Shewhart (c) George Dantzing (d) W.E. Deming 1.7 Among the conventional machining processes, maximum specific energy is consumed in (a) turning (b) drilling (c) planing (d) grinding 1.8 Cutting power consumption in turning can be significantly reduced by (a) increasing rake angle of the tool GATE ME - 1995 (b) increasing the cutting angles of the tool (c) widening the nose radius of the tool (d) increasing the clearance angle 1.9 Plain milling of mild steel plate produces (a) irregular shaped discontinuous chips (b) regular shaped discontinuous chips (c) continuous chips without built up edge (d) jointed chips 1.10 A fluid is said to be Newtonian when the shear stress is: (a) directly proportional to the velocity gradient (b) inversely proportional to the velocity gradient (c) independent of the velocity gradient (d) none of the above 1.11 Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct? (a) COP refrigerator = COP of heat pump (b) COP refrigerator = COP of heat pump + 1 (c) COP refrigerator = COP of heat pump - 1 (d) COP refrigerator = inverse COP of heat pump 1.12 Constant pressure lines in the superheated region of the Mollier diagram will have (a) a positive slope (b) a negative slope (c) zero slope (d) both positive and negative slope 1.13 A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength will (a) decrease (b) increase (c) remains same (d) becomes equal to ultimate tensile strength 1.14 A key connecting a flange coupling to a shaft is likely to fail in (a) shear (b) tension (c) torsion (d) bending 1.15 A frere bar of length l uniformly heated from 0°C to a temperature t°C. a is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is: Page 3 GATE ME - 1995 1. Choose answer and indicate by writing only the corresponding capital letter (A, B, C, D) as the case may be). 1.1 The manufacturing area of a plat is divided into four quadrants. Four machines have to be located, one in each quadrant. The total number of possible layouts is: (a) 4 (b) 8 (c) 16 (d) 2 1.2 The function ( ) 1 f x x = + on the interval 2,0 - ? ? ? ? is: (a) continuous and differentiable (b) continuous on the integral but not differentiable at all points (c) neither continuous nor differentiable (d) differentiable but not continuous 1.3 If V ur is a differentiable vector function and f is a sufficient differentiable scalar function, then curl ( ) fV ur is equal to (a) ( ) ( ) ( ) f curl grad V f V × + ur ur (b) O ur (c) ( ) curl f V ur (d) ( ) ( ) grade f V × ur 1.4 If the demand for an item is doubled and the ordering cost halved, the economic order quantity (a) remains unchanged (b) increases by a factor of 2 (c) is doubled (d) is halved 1.5 In PERT, the distribution of activity times is assumed to be (a) Normal (b) Gamma (c) Beta (d) Exponential 1.6 Statistical quality control was developed by (a) Frederick Taylor (b) Water Shewhart (c) George Dantzing (d) W.E. Deming 1.7 Among the conventional machining processes, maximum specific energy is consumed in (a) turning (b) drilling (c) planing (d) grinding 1.8 Cutting power consumption in turning can be significantly reduced by (a) increasing rake angle of the tool GATE ME - 1995 (b) increasing the cutting angles of the tool (c) widening the nose radius of the tool (d) increasing the clearance angle 1.9 Plain milling of mild steel plate produces (a) irregular shaped discontinuous chips (b) regular shaped discontinuous chips (c) continuous chips without built up edge (d) jointed chips 1.10 A fluid is said to be Newtonian when the shear stress is: (a) directly proportional to the velocity gradient (b) inversely proportional to the velocity gradient (c) independent of the velocity gradient (d) none of the above 1.11 Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct? (a) COP refrigerator = COP of heat pump (b) COP refrigerator = COP of heat pump + 1 (c) COP refrigerator = COP of heat pump - 1 (d) COP refrigerator = inverse COP of heat pump 1.12 Constant pressure lines in the superheated region of the Mollier diagram will have (a) a positive slope (b) a negative slope (c) zero slope (d) both positive and negative slope 1.13 A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength will (a) decrease (b) increase (c) remains same (d) becomes equal to ultimate tensile strength 1.14 A key connecting a flange coupling to a shaft is likely to fail in (a) shear (b) tension (c) torsion (d) bending 1.15 A frere bar of length l uniformly heated from 0°C to a temperature t°C. a is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is: GATE ME - 1995 (a) a tE (b) a tE/2 (c) zero (d) None of the above 2. Each blank(â€¦..) is to be suitably filled in using one of the given options. In the answer book write the question number and the answer only. Also, no explanations for the answer are to be given 2.1 The layout with a higher material handling effort is a â€¦â€¦â€¦â€¦â€¦ layout. (product/process) 2.2 Checking the diameter of a hole using GO-NO-GO gauges is an example of inspection by â€¦â€¦â€¦â€¦â€¦ (variables/attributes) 2.3 Machine tool structures are made â€¦â€¦â€¦â€¦â€¦ for high process capability (tough/strong/rigid) 2.4 For planning the procurement or production of dependent demand items, the technique most suitable isâ€¦â€¦â€¦â€¦â€¦ (MRP/EOQ) 2.5 In fully developed laminar flow in a circular pipe, the head loss due to friction is directly proportional to â€¦â€¦â€¦â€¦â€¦ (mean velocity/square of the mean velocity) 2.6 In adiabatic flow with friction, the stagnation temperature along a streamline â€¦â€¦â€¦â€¦â€¦ (increases/decreases/remains constant) 2.7 In the case of a refrigeration system undergoing an irreversible cycle, Q T d f is â€¦â€¦â€¦â€¦â€¦ (<0/=0/>0) 2.8 The shear force in a beam subjected to pure positive bending is â€¦â€¦â€¦â€¦â€¦ (positive/zero/negative) 2.9 In a single degree of freedom vibration system, the undamped natural frequency is â€¦â€¦â€¦â€¦â€¦ to/than the damped natural frequency. (greater than/equal/less) 2.10 An aeroplane makes a half circle towards left. The engine runs clockwise when viewed from the rear. Gyroscopic effect on the aeroplane causes the nose to â€¦â€¦â€¦â€¦â€¦ (lift/dip) Page 4 GATE ME - 1995 1. Choose answer and indicate by writing only the corresponding capital letter (A, B, C, D) as the case may be). 1.1 The manufacturing area of a plat is divided into four quadrants. Four machines have to be located, one in each quadrant. The total number of possible layouts is: (a) 4 (b) 8 (c) 16 (d) 2 1.2 The function ( ) 1 f x x = + on the interval 2,0 - ? ? ? ? is: (a) continuous and differentiable (b) continuous on the integral but not differentiable at all points (c) neither continuous nor differentiable (d) differentiable but not continuous 1.3 If V ur is a differentiable vector function and f is a sufficient differentiable scalar function, then curl ( ) fV ur is equal to (a) ( ) ( ) ( ) f curl grad V f V × + ur ur (b) O ur (c) ( ) curl f V ur (d) ( ) ( ) grade f V × ur 1.4 If the demand for an item is doubled and the ordering cost halved, the economic order quantity (a) remains unchanged (b) increases by a factor of 2 (c) is doubled (d) is halved 1.5 In PERT, the distribution of activity times is assumed to be (a) Normal (b) Gamma (c) Beta (d) Exponential 1.6 Statistical quality control was developed by (a) Frederick Taylor (b) Water Shewhart (c) George Dantzing (d) W.E. Deming 1.7 Among the conventional machining processes, maximum specific energy is consumed in (a) turning (b) drilling (c) planing (d) grinding 1.8 Cutting power consumption in turning can be significantly reduced by (a) increasing rake angle of the tool GATE ME - 1995 (b) increasing the cutting angles of the tool (c) widening the nose radius of the tool (d) increasing the clearance angle 1.9 Plain milling of mild steel plate produces (a) irregular shaped discontinuous chips (b) regular shaped discontinuous chips (c) continuous chips without built up edge (d) jointed chips 1.10 A fluid is said to be Newtonian when the shear stress is: (a) directly proportional to the velocity gradient (b) inversely proportional to the velocity gradient (c) independent of the velocity gradient (d) none of the above 1.11 Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct? (a) COP refrigerator = COP of heat pump (b) COP refrigerator = COP of heat pump + 1 (c) COP refrigerator = COP of heat pump - 1 (d) COP refrigerator = inverse COP of heat pump 1.12 Constant pressure lines in the superheated region of the Mollier diagram will have (a) a positive slope (b) a negative slope (c) zero slope (d) both positive and negative slope 1.13 A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength will (a) decrease (b) increase (c) remains same (d) becomes equal to ultimate tensile strength 1.14 A key connecting a flange coupling to a shaft is likely to fail in (a) shear (b) tension (c) torsion (d) bending 1.15 A frere bar of length l uniformly heated from 0°C to a temperature t°C. a is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is: GATE ME - 1995 (a) a tE (b) a tE/2 (c) zero (d) None of the above 2. Each blank(â€¦..) is to be suitably filled in using one of the given options. In the answer book write the question number and the answer only. Also, no explanations for the answer are to be given 2.1 The layout with a higher material handling effort is a â€¦â€¦â€¦â€¦â€¦ layout. (product/process) 2.2 Checking the diameter of a hole using GO-NO-GO gauges is an example of inspection by â€¦â€¦â€¦â€¦â€¦ (variables/attributes) 2.3 Machine tool structures are made â€¦â€¦â€¦â€¦â€¦ for high process capability (tough/strong/rigid) 2.4 For planning the procurement or production of dependent demand items, the technique most suitable isâ€¦â€¦â€¦â€¦â€¦ (MRP/EOQ) 2.5 In fully developed laminar flow in a circular pipe, the head loss due to friction is directly proportional to â€¦â€¦â€¦â€¦â€¦ (mean velocity/square of the mean velocity) 2.6 In adiabatic flow with friction, the stagnation temperature along a streamline â€¦â€¦â€¦â€¦â€¦ (increases/decreases/remains constant) 2.7 In the case of a refrigeration system undergoing an irreversible cycle, Q T d f is â€¦â€¦â€¦â€¦â€¦ (<0/=0/>0) 2.8 The shear force in a beam subjected to pure positive bending is â€¦â€¦â€¦â€¦â€¦ (positive/zero/negative) 2.9 In a single degree of freedom vibration system, the undamped natural frequency is â€¦â€¦â€¦â€¦â€¦ to/than the damped natural frequency. (greater than/equal/less) 2.10 An aeroplane makes a half circle towards left. The engine runs clockwise when viewed from the rear. Gyroscopic effect on the aeroplane causes the nose to â€¦â€¦â€¦â€¦â€¦ (lift/dip) GATE ME - 1995 Join discussion of this test paper at http://forum.gatementor.com 3. State TRUE or FALSE without copying the questions. Give no reason(s) for your answer. 3.1 The Laplace transform of 2 2 cos is . w t ? d ? + 3.2 A differential equation of form ( ) , dy f x y dx = is homogeneous if the function ( ) , f x y depends only on the ration or y x x y 3.3 Both the live centre and the dead centre of centre lathes are hardened and lubricated for reducing friction and wear. 3.4 Diamond wheels should not be used for grinding steel components. 3.5 Slip gauges are calibrated by outside micrometers. 3.6 Consider a Rankine cycle with superheat. If the maximum pressure in the cycle is increased without changing the maximum temperature and the minimum pressure, the dryness fraction of stream after the isentropic expansion will increase. 3.7 The specific speed of an impulse hydraulic turbine will be greater than the specific speed of a reaction type hydraulic turbine. 3.8 Self locking in power screw is better achieved by decreasing the helix angle and increasing the coefficient of friction. 3.9 Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the base circles within the points of tangency. 3.10 In a four-stroke engine, the secondary imbalance has a frequency equal to four times engine speed. Page 5 GATE ME - 1995 1. Choose answer and indicate by writing only the corresponding capital letter (A, B, C, D) as the case may be). 1.1 The manufacturing area of a plat is divided into four quadrants. Four machines have to be located, one in each quadrant. The total number of possible layouts is: (a) 4 (b) 8 (c) 16 (d) 2 1.2 The function ( ) 1 f x x = + on the interval 2,0 - ? ? ? ? is: (a) continuous and differentiable (b) continuous on the integral but not differentiable at all points (c) neither continuous nor differentiable (d) differentiable but not continuous 1.3 If V ur is a differentiable vector function and f is a sufficient differentiable scalar function, then curl ( ) fV ur is equal to (a) ( ) ( ) ( ) f curl grad V f V × + ur ur (b) O ur (c) ( ) curl f V ur (d) ( ) ( ) grade f V × ur 1.4 If the demand for an item is doubled and the ordering cost halved, the economic order quantity (a) remains unchanged (b) increases by a factor of 2 (c) is doubled (d) is halved 1.5 In PERT, the distribution of activity times is assumed to be (a) Normal (b) Gamma (c) Beta (d) Exponential 1.6 Statistical quality control was developed by (a) Frederick Taylor (b) Water Shewhart (c) George Dantzing (d) W.E. Deming 1.7 Among the conventional machining processes, maximum specific energy is consumed in (a) turning (b) drilling (c) planing (d) grinding 1.8 Cutting power consumption in turning can be significantly reduced by (a) increasing rake angle of the tool GATE ME - 1995 (b) increasing the cutting angles of the tool (c) widening the nose radius of the tool (d) increasing the clearance angle 1.9 Plain milling of mild steel plate produces (a) irregular shaped discontinuous chips (b) regular shaped discontinuous chips (c) continuous chips without built up edge (d) jointed chips 1.10 A fluid is said to be Newtonian when the shear stress is: (a) directly proportional to the velocity gradient (b) inversely proportional to the velocity gradient (c) independent of the velocity gradient (d) none of the above 1.11 Consider a refrigerator and a heat pump working on the reversed Carnot cycle between the same temperature limits. Which of the following is correct? (a) COP refrigerator = COP of heat pump (b) COP refrigerator = COP of heat pump + 1 (c) COP refrigerator = COP of heat pump - 1 (d) COP refrigerator = inverse COP of heat pump 1.12 Constant pressure lines in the superheated region of the Mollier diagram will have (a) a positive slope (b) a negative slope (c) zero slope (d) both positive and negative slope 1.13 A test specimen is stressed slightly beyond the yield point and then unloaded. Its yield strength will (a) decrease (b) increase (c) remains same (d) becomes equal to ultimate tensile strength 1.14 A key connecting a flange coupling to a shaft is likely to fail in (a) shear (b) tension (c) torsion (d) bending 1.15 A frere bar of length l uniformly heated from 0°C to a temperature t°C. a is the coefficient of linear expansion and E is the modulus of elasticity. The stress in the bar is: GATE ME - 1995 (a) a tE (b) a tE/2 (c) zero (d) None of the above 2. Each blank(â€¦..) is to be suitably filled in using one of the given options. In the answer book write the question number and the answer only. Also, no explanations for the answer are to be given 2.1 The layout with a higher material handling effort is a â€¦â€¦â€¦â€¦â€¦ layout. (product/process) 2.2 Checking the diameter of a hole using GO-NO-GO gauges is an example of inspection by â€¦â€¦â€¦â€¦â€¦ (variables/attributes) 2.3 Machine tool structures are made â€¦â€¦â€¦â€¦â€¦ for high process capability (tough/strong/rigid) 2.4 For planning the procurement or production of dependent demand items, the technique most suitable isâ€¦â€¦â€¦â€¦â€¦ (MRP/EOQ) 2.5 In fully developed laminar flow in a circular pipe, the head loss due to friction is directly proportional to â€¦â€¦â€¦â€¦â€¦ (mean velocity/square of the mean velocity) 2.6 In adiabatic flow with friction, the stagnation temperature along a streamline â€¦â€¦â€¦â€¦â€¦ (increases/decreases/remains constant) 2.7 In the case of a refrigeration system undergoing an irreversible cycle, Q T d f is â€¦â€¦â€¦â€¦â€¦ (<0/=0/>0) 2.8 The shear force in a beam subjected to pure positive bending is â€¦â€¦â€¦â€¦â€¦ (positive/zero/negative) 2.9 In a single degree of freedom vibration system, the undamped natural frequency is â€¦â€¦â€¦â€¦â€¦ to/than the damped natural frequency. (greater than/equal/less) 2.10 An aeroplane makes a half circle towards left. The engine runs clockwise when viewed from the rear. Gyroscopic effect on the aeroplane causes the nose to â€¦â€¦â€¦â€¦â€¦ (lift/dip) GATE ME - 1995 Join discussion of this test paper at http://forum.gatementor.com 3. State TRUE or FALSE without copying the questions. Give no reason(s) for your answer. 3.1 The Laplace transform of 2 2 cos is . w t ? d ? + 3.2 A differential equation of form ( ) , dy f x y dx = is homogeneous if the function ( ) , f x y depends only on the ration or y x x y 3.3 Both the live centre and the dead centre of centre lathes are hardened and lubricated for reducing friction and wear. 3.4 Diamond wheels should not be used for grinding steel components. 3.5 Slip gauges are calibrated by outside micrometers. 3.6 Consider a Rankine cycle with superheat. If the maximum pressure in the cycle is increased without changing the maximum temperature and the minimum pressure, the dryness fraction of stream after the isentropic expansion will increase. 3.7 The specific speed of an impulse hydraulic turbine will be greater than the specific speed of a reaction type hydraulic turbine. 3.8 Self locking in power screw is better achieved by decreasing the helix angle and increasing the coefficient of friction. 3.9 Interference in a pair of gears is avoided, if the addendum circles of both the gears intersect common tangent to the base circles within the points of tangency. 3.10 In a four-stroke engine, the secondary imbalance has a frequency equal to four times engine speed. GATE ME - 1995 4. Match 4 correct pairs between List I and List II for question 4.1 through 4.5 4.1 List I List II (A) JIT (1) CRAFT (B) Computer assisted layout (2) PERT (C) Scheduling (3) Johnsonâ€™s rule (D) Simulation (4) Kanbans (5) EQQ rule (6) Monte Carlo 4.2 4.3 4.4 List I (Heat Engines) List II (Cycles) (A) Gas Turbine (1) Constant volume heat addition and constant volume heat rejection (B) Petrol Engine (2) Constant pressure heat addition and constant volume heat rejection (C) Sterling Engine (3) Constant pressure heat addition and constant pressure heat rejection (D) Diesel Engine (4) Heat addition at constant volume followed by heat addition at constant temperature (5) Heat rejection at constant volume followed by heat rejection at constant temperature List I List II (A) Finish turning (1) Backlash eliminator (B) Forming (2) Zero rake (C) Thread cutting (3) Nose reducing (D) Down milling (4) Low speed List I List II (A) Talysurf (1) T-Slots (B) Telescopic gauge (2) Flatness (C) Transfer calipers (3) Internal diameter (D) Autocollimator (4) RoughnessRead More

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