One Stop GATE Forum: 2003- year ME GATE Paper

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1.  Two dice are thrown. What is the probability that the sum of the numbers on the 
two dice is eight? 
  (a)  5
    (b)  5
    (c)  1
   (d)  1

2.  Which of the following functions is not differentiable in the domain [-1,1]?   
 (a)  f(x)=x2      (b)  f(x)=x-1 
 (c)  f(x)=2      (d)  f(x)=maximum(x,-x) 

3.  A  regression  model  is  used  to  express  a  variable  Y  as  a  function  of  another variable X. this implies that 
  (a)  there is a causal relationship between Y and X 
 (b)  a value of X may be used to estimate a value of Y 
 (c)  values of X exactly determine values of Y 
 (d)  there is no causal relationship between Y and X 

4.  The principles of motion economy are mostly used while conducting  
 (a)  a method study on an operation 
 (b)  a time study on an operation 
 (c)  a financial appraisal of an operation 
 (d)  a feasibility study of the proposed manufacturing plant 

5.  The standard time of an operation while conducting a time study is  
  (a)  mean observed time + allowances 
 (b)  normal time + allowances 
 (c)  mean observed time × rating factor + allowances 
 (d)  normal time × rating factor + allowances 

6.  In  carrying  out  a  work  sampling  study  in  a  machine  shop,  it  was  found  that  a particular  lathe  was  down  for  20%  of  the  time.  What  would  be  the  95% confidence interval of this estimate if 100 observations were made?  
  (a)  (0.16,0.24)  (b)  (0.12,0.28)  (c)  (0.08,0.32)  (d) none of these 

7.  An  item  can  be  purchased  for  Rs.100.  The  ordering  cost  is  Rs.200  and  the 
inventory carrying cost is 10% of the item cost per annum. If the annual demand 
is 4000 units, the economic order quantity (in units) is   
  (a)  50  (b)  100  (c)  200  (d) 400 

8.  The  minimum  number  of  teeth  on  the  pinion  to  operate  without  interference  in standard full height involute teeth gear mechanism with 20° pressure angle is  
  (a)  14  (b)  12  (c)  18  (d) 32 

9.  The  minimum  number  of  links  in  a  single  degree-of-freedom  planar  mechanism with both higher and lower kinematic pairs is   
  (a)  2  (b)  3  (c)  4  (d) 5 

10.  The Coriolis component of acceleration is present in 
 (a)  4-bar mechanisms with 4 turning pairs  (b)  shape mechanism 
 (c)  slider-crank mechanism  (d)  Scotch Yoke mechanism 

11.  The total area under the stress-strain curve of a mild steel specimen tested up to 
failure under tension is a measure of   
  (a)  ductility      (b)  ultimate strength 
 (c)  stiffness      (d)  toughness 

12.   The  number of components  in a  stress tensor defining stress at  a point in  three dimensions is 
  (a)  3  (b)  4  (c)  6  (d) 9 

13.  A lead-screw with half nuts in a lathe, free to rotate in both directions has   
 (a)  V-threads      (b)  Whitworth threads 
 (c)  Buttress threads      (d)  Acme threads 

14.  the primary purpose of a sprue in a casting mould is to   
 (a)  feed the casting at a rate consistent with the rate of solidification  
 (b)  act as a reservoir for molten metal 
 (c)  feed molten metal from the pouring basin to the gate 
 (d)  help feed the casting until all solidification takes place 

15.  Hot rolling of mild steel is carried out   
 (a)  at re-crystallization temperature  (b)  between 100 C to 150 C 
 (c)  between re-crystallization temperature 
 (d)  above re-crystallization temperature 

 16.  Which of the following arc welding processes does not use consumable electrodes 
 (a)  GMAW      (b)  GTAW 
 (c)  Submerged Arc Welding  (d)  none of these 

17.  Trepanning is performed for   
 (a)  finishing a drilled hole 
 (b)  producing a large hole without drilling 
 (c)  truing a hole for alignment  (d)  enlarging a drilled hole 

18.  The hardness of a grinding wheel is determined by the   
 (a)  hardness of abrasive grains 
 (b)  ability of the bond to retain abrasives 
 (c)  hardness of the bond 
 (d)  ability of the grinding wheel to penetrate the work piece 

19.  A positive value of Joule-Thomson coefficient of a fluid means 
 (a)  temperature drops during throttling 
 (b)  temperature remains constant during throttling 
 (c)  temperature rises during throttling 
 (d)  none of these 

20.  If there are  m physical  quantities  and n fundamental dimensions  in a  particular 
process, the number of non-dimensional parameters is   
  (a)  m+n  (b)  m×n  (c)  m-n  (d) m/n 

21.  Flow separation in flow past a solid object is caused by     
 (a)  a reduction of pressure to vapour pressure 
 (b)  a negative pressure gradient 
 (c)  a positive pressure gradient 
 (d)  the boundary layer thickness reducing to zero 

22.  A correctly designed convergent-divergent nozzle working at a designed load is 
 (a)  always isentropic     (b)  always choked 
 (c)  never choked      (d)  never isentropic 

23.  The value of Biot number is very small (less than 0.01) when   
 (a)  the convective resistance of the fluid is negligible 
 (b)  the conductive resistance of the fluid is negligible 
 (c)  the conductive resistance of the solid is negligible 
 (d)  none of these 

24.  For the same inlet  and  outlet temperatures of hot  and  cold fluids,  the Log Mean 
Temperature Difference (LMTD) is   
  (a)  greater  for  parallel  flow  heat  exchanger  than  for  counter  flow  heat 
exchanger. 
  (b)  greater  for  counter  flow  heat  exchanger  than  for  parallel  flow  heat 
exchanger. 
  (c)  same for both parallel and counter flow heat exchangers. 
 (d)  dependent on the properties of the fluids. 

24.  Manish  has  to travel from A to  D  changing  buses at  stops B  and  C enroute.  The 
maximum  waiting  time  at  either  stop  can  be  8  minutes  each,  but  any  time  of 
waiting  up to  8  minutes  is  equally  likely  at both places.  He  can afford up  to 13 
minutes  of  total  waiting  time  if  he  is  to  arrive  at  D  on  time.  What  is  the 
probability that Manish will arrive late at D? 

    (a)  8
    (b)  13
    (c)  119
    (d)  9

25.  Arrivals at a telephone booth are  considered to be Poisson, with an average time of  10  minutes  between  successive  arrivals.  The  length  of  a  phone  call  is distributed  exponentially  with  mean  3  minutes.  The  probability  that  an  arrival does not have to wait before service is 
  (a)  0.3  (b)  0.5  (c)  0.7  (d) 0.9 

26.  The supply at three sources is 50, 40 and 60 units respectively whilst the demand at the  four destinations is 20,  30, 10 and 50 units. In solving this transportation problem 
  (a)   a dummy source of capacity 40 units is needed 
 (b)  a dummy destination of capacity 40 units is needed 
 (c)  no solution exists as the problem is infeasible 
 (d)  none solution exists as the problem is degenerate 

27.  A  project  consists  of  three  parallel  paths  with  mean durations  and  variances  of 
(10,4),  (12,4)  and  (12,9)  respectively.  According  to  the  standard  PERT 
assumptions, the distribution of the project duration is 
  (a)  Beta with mean 10 and standard deviation 2 
 (b)  Beta with mean 12 and standard deviation 2 
 (c)  Normal with mean 10 and standard deviation 3 
 (d)  Normal with mean 12 and standard deviation 3 

28.  The coupling used to connect two shafts with large angular misalignment is 
 (a)  a Flange coupling     (b)  an Oldham‘s coupling 
 (c)  a Flexible bush coupling  (d)  a Hooke‘s joint 

29.  A  static  load  is  mounted  at  the  center  of  a  shaft  rotating  at  uniform  angular 
velocity. This shaft will be designed for 
  (a)  the maximum compressive stress (static) 
 (b)  the maximum tensile (static) 
 (c)  the maximum bending moment (static) 
 (d)  fatigue loading 

30.  Large speed reductions (greater than 20) in one stage of a gear train are possible 
through 
  (a)  Spur gearing      (b)  Worm gearing 
 (c)  Bevel gearing      (d)  Helical gearing 

Author	Message
Neha Agarwal Groupie Joined: 04Jan2007 Online Status: Offline Posts: 59	Topic: 2003- year ME GATE Paper Posted: 14Feb2007 at 3:03pm
	1. Two dice are thrown. What is the probability that the sum of the numbers on the two dice is eight? (a) 5 (b) 5 (c) 1 (d) 1 2. Which of the following functions is not differentiable in the domain [-1,1]? (a) f(x)=x2 (b) f(x)=x-1 (c) f(x)=2 (d) f(x)=maximum(x,-x) 3. A regression model is used to express a variable Y as a function of another variable X. this implies that (a) there is a causal relationship between Y and X (b) a value of X may be used to estimate a value of Y (c) values of X exactly determine values of Y (d) there is no causal relationship between Y and X 4. The principles of motion economy are mostly used while conducting (a) a method study on an operation (b) a time study on an operation (c) a financial appraisal of an operation (d) a feasibility study of the proposed manufacturing plant 5. The standard time of an operation while conducting a time study is (a) mean observed time + allowances (b) normal time + allowances (c) mean observed time × rating factor + allowances (d) normal time × rating factor + allowances 6. In carrying out a work sampling study in a machine shop, it was found that a particular lathe was down for 20% of the time. What would be the 95% confidence interval of this estimate if 100 observations were made? (a) (0.16,0.24) (b) (0.12,0.28) (c) (0.08,0.32) (d) none of these 7. An item can be purchased for Rs.100. The ordering cost is Rs.200 and the inventory carrying cost is 10% of the item cost per annum. If the annual demand is 4000 units, the economic order quantity (in units) is (a) 50 (b) 100 (c) 200 (d) 400 8. The minimum number of teeth on the pinion to operate without interference in standard full height involute teeth gear mechanism with 20° pressure angle is (a) 14 (b) 12 (c) 18 (d) 32 9. The minimum number of links in a single degree-of-freedom planar mechanism with both higher and lower kinematic pairs is (a) 2 (b) 3 (c) 4 (d) 5 10. The Coriolis component of acceleration is present in (a) 4-bar mechanisms with 4 turning pairs (b) shape mechanism (c) slider-crank mechanism (d) Scotch Yoke mechanism 11. The total area under the stress-strain curve of a mild steel specimen tested up to failure under tension is a measure of (a) ductility (b) ultimate strength (c) stiffness (d) toughness 12. The number of components in a stress tensor defining stress at a point in three dimensions is (a) 3 (b) 4 (c) 6 (d) 9 13. A lead-screw with half nuts in a lathe, free to rotate in both directions has (a) V-threads (b) Whitworth threads (c) Buttress threads (d) Acme threads 14. the primary purpose of a sprue in a casting mould is to (a) feed the casting at a rate consistent with the rate of solidification (b) act as a reservoir for molten metal (c) feed molten metal from the pouring basin to the gate (d) help feed the casting until all solidification takes place 15. Hot rolling of mild steel is carried out (a) at re-crystallization temperature (b) between 100 C to 150 C (c) between re-crystallization temperature (d) above re-crystallization temperature 16. Which of the following arc welding processes does not use consumable electrodes (a) GMAW (b) GTAW (c) Submerged Arc Welding (d) none of these 17. Trepanning is performed for (a) finishing a drilled hole (b) producing a large hole without drilling (c) truing a hole for alignment (d) enlarging a drilled hole 18. The hardness of a grinding wheel is determined by the (a) hardness of abrasive grains (b) ability of the bond to retain abrasives (c) hardness of the bond (d) ability of the grinding wheel to penetrate the work piece 19. A positive value of Joule-Thomson coefficient of a fluid means (a) temperature drops during throttling (b) temperature remains constant during throttling (c) temperature rises during throttling (d) none of these 20. If there are m physical quantities and n fundamental dimensions in a particular process, the number of non-dimensional parameters is (a) m+n (b) m×n (c) m-n (d) m/n 21. Flow separation in flow past a solid object is caused by (a) a reduction of pressure to vapour pressure (b) a negative pressure gradient (c) a positive pressure gradient (d) the boundary layer thickness reducing to zero 22. A correctly designed convergent-divergent nozzle working at a designed load is (a) always isentropic (b) always choked (c) never choked (d) never isentropic 23. The value of Biot number is very small (less than 0.01) when (a) the convective resistance of the fluid is negligible (b) the conductive resistance of the fluid is negligible (c) the conductive resistance of the solid is negligible (d) none of these 24. For the same inlet and outlet temperatures of hot and cold fluids, the Log Mean Temperature Difference (LMTD) is (a) greater for parallel flow heat exchanger than for counter flow heat exchanger. (b) greater for counter flow heat exchanger than for parallel flow heat exchanger. (c) same for both parallel and counter flow heat exchangers. (d) dependent on the properties of the fluids. 24. Manish has to travel from A to D changing buses at stops B and C enroute. The maximum waiting time at either stop can be 8 minutes each, but any time of waiting up to 8 minutes is equally likely at both places. He can afford up to 13 minutes of total waiting time if he is to arrive at D on time. What is the probability that Manish will arrive late at D? (a) 8 (b) 13 (c) 119 (d) 9 25. Arrivals at a telephone booth are considered to be Poisson, with an average time of 10 minutes between successive arrivals. The length of a phone call is distributed exponentially with mean 3 minutes. The probability that an arrival does not have to wait before service is (a) 0.3 (b) 0.5 (c) 0.7 (d) 0.9 26. The supply at three sources is 50, 40 and 60 units respectively whilst the demand at the four destinations is 20, 30, 10 and 50 units. In solving this transportation problem (a) a dummy source of capacity 40 units is needed (b) a dummy destination of capacity 40 units is needed (c) no solution exists as the problem is infeasible (d) none solution exists as the problem is degenerate 27. A project consists of three parallel paths with mean durations and variances of (10,4), (12,4) and (12,9) respectively. According to the standard PERT assumptions, the distribution of the project duration is (a) Beta with mean 10 and standard deviation 2 (b) Beta with mean 12 and standard deviation 2 (c) Normal with mean 10 and standard deviation 3 (d) Normal with mean 12 and standard deviation 3 28. The coupling used to connect two shafts with large angular misalignment is (a) a Flange coupling (b) an Oldham‘s coupling (c) a Flexible bush coupling (d) a Hooke‘s joint 29. A static load is mounted at the center of a shaft rotating at uniform angular velocity. This shaft will be designed for (a) the maximum compressive stress (static) (b) the maximum tensile (static) (c) the maximum bending moment (static) (d) fatigue loading 30. Large speed reductions (greater than 20) in one stage of a gear train are possible through (a) Spur gearing (b) Worm gearing (c) Bevel gearing (d) Helical gearing
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