One Stop GATE Forum: 2005- year ME GATE Paper

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1.  Strokes theorem connects 
 (a)  a line integral and a surface integral 
 (b)  a surface integral and a volume integral 
 (c)  a line integral and a volume integral 
 (d)  gradient of a function and its surface integral 

2.  A lot has 10%  defective items.  Ten items are chosen randomly from this lot. The 
probability that exactly 2 of the chosen items are defective is 
  (a)  0.0036  (b)  0.1937  (c)  0.2234  (d) 0.3874 

3.  A is a 3  × 4  real matrix and A x = b is an  inconsistent system  of equations. The highest possible rank of A is 
  (a)  1  (b)  2  (c)  3  (d) 4 

4.  A simple pendulum of length 5m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has a speed of 5 m/s. the net force on the bob at the mean position is 
  (a)  zero  (b)  2.5 N  (c)  5 N  (d) 25 N 

5.  Two  identical  cantilever  beams  are  supported  as  shown,  with  their  free  ends  in 
contact through a rigid roller. After the load P is applied, the free ends will have P 
  (a)  equal deflections but not equal slopes 
 (b)  equal slopes but not equal deflections 
 (c)  equal slopes as well as equal deflections 
 (d)  neither equal slopes nor equal deflections 

6.  The  number of  degrees  of  freedom of a planar linkage  with 8 links  and  9 simple revolute joints is 
  (a)  1  (b)  2  (c)  3  (d) 4 

7.  There  are four  samples P, Q, R  and  S,  with natural  frequencies 64, 96, 128 and 256  Hz respectively.  There  are  mounted  on  test  setups  for  conducting  vibration experiments.  If  a  loud  pure  not  of  frequency  144  Hz  is  produced  by  some instrument,  which  of  the  samples  will  show  the  most  perceptible  induced vibration? 
  (a)  P  (b)  Q  (c)  R  (d) S 

8.   Which  one  of  the  following  is  a  criterion  in  the  design of  hydrodynamic  journal bearings? 
  (a)  Sommerfeld number            (b)  Rating life 
  (c)  Specific dynamic capacity  (d)  Rotation factor 

9.  For a typical sample of ambient air (at 35°C, 75% relative humidity and standard atmospheric  pressure),  the  amount  of  moisture  in  kg  per  kg  of  dry  air  will  be approximately  
  (a)  0.002  (b)  0.027  (c)  0.25  (d) 0.75 

10.  Water  at  42°  is  sprayed  into  a  stream  of  air  at  atmospheric pressure,  dry  bulb temperature  of  40°C  and  a  wet  bulb  temperature  of  20°C.  The  air  leaving  the 
spray humidifier is not saturated. Which of the following statements is true? 
  (a)  Air gets cooled and humidified  (b)  Air gets heated and humidified 
 (c)  Air gets heated and dehumidified  (d)  Air gets cooled and dehumidified 

11.  Match  the  items  of  List  I  (Equipment)  with  the  items  of  List  II  (Process)  and 
select the correct answer using the given codes. 

 List I (Equipm ent)  List (Process) 
P œ Hot Chamber Machine  1 œ Cleaning 
Q œ Muller  2 œ Core making 
R œ Dielectric Baker  3 œ Die casting 
S œ Sand Blaster  4 œ Annealing 

 5 œ Sand mixing 

 (a)  P œ 2  Q œ 1 R œ 4 S - 5  (b)  P œ 4  Q œ 2 R œ 3 S - 5 
 (c)  P œ 4  Q œ 5 R œ 1 S - 2  (d)  P œ 3  Q œ 5 R œ 2 S - 1 

12.  When the temperature of a solid metal increases. 
 (a)  strength of the metal decreases but ductility increases 
 (b)  both strength and ductility of the metal decrease 
 (c)  both strength and ductility of the metal increase 
 (d)  strength of the metal increases but ductility decreases 

Author	Message
Neha Agarwal Groupie Joined: 04Jan2007 Online Status: Offline Posts: 59	Topic: 2005- year ME GATE Paper Posted: 14Feb2007 at 3:13pm
	1. Strokes theorem connects (a) a line integral and a surface integral (b) a surface integral and a volume integral (c) a line integral and a volume integral (d) gradient of a function and its surface integral 2. A lot has 10% defective items. Ten items are chosen randomly from this lot. The probability that exactly 2 of the chosen items are defective is (a) 0.0036 (b) 0.1937 (c) 0.2234 (d) 0.3874 3. A is a 3 × 4 real matrix and A x = b is an inconsistent system of equations. The highest possible rank of A is (a) 1 (b) 2 (c) 3 (d) 4 4. A simple pendulum of length 5m, with a bob of mass 1 kg, is in simple harmonic motion. As it passes through its mean position, the bob has a speed of 5 m/s. the net force on the bob at the mean position is (a) zero (b) 2.5 N (c) 5 N (d) 25 N 5. Two identical cantilever beams are supported as shown, with their free ends in contact through a rigid roller. After the load P is applied, the free ends will have P (a) equal deflections but not equal slopes (b) equal slopes but not equal deflections (c) equal slopes as well as equal deflections (d) neither equal slopes nor equal deflections 6. The number of degrees of freedom of a planar linkage with 8 links and 9 simple revolute joints is (a) 1 (b) 2 (c) 3 (d) 4 7. There are four samples P, Q, R and S, with natural frequencies 64, 96, 128 and 256 Hz respectively. There are mounted on test setups for conducting vibration experiments. If a loud pure not of frequency 144 Hz is produced by some instrument, which of the samples will show the most perceptible induced vibration? (a) P (b) Q (c) R (d) S 8. Which one of the following is a criterion in the design of hydrodynamic journal bearings? (a) Sommerfeld number (b) Rating life (c) Specific dynamic capacity (d) Rotation factor 9. For a typical sample of ambient air (at 35°C, 75% relative humidity and standard atmospheric pressure), the amount of moisture in kg per kg of dry air will be approximately (a) 0.002 (b) 0.027 (c) 0.25 (d) 0.75 10. Water at 42° is sprayed into a stream of air at atmospheric pressure, dry bulb temperature of 40°C and a wet bulb temperature of 20°C. The air leaving the spray humidifier is not saturated. Which of the following statements is true? (a) Air gets cooled and humidified (b) Air gets heated and humidified (c) Air gets heated and dehumidified (d) Air gets cooled and dehumidified 11. Match the items of List I (Equipment) with the items of List II (Process) and select the correct answer using the given codes. List I (Equipm ent) List (Process) P œ Hot Chamber Machine 1 œ Cleaning Q œ Muller 2 œ Core making R œ Dielectric Baker 3 œ Die casting S œ Sand Blaster 4 œ Annealing 5 œ Sand mixing (a) P œ 2 Q œ 1 R œ 4 S - 5 (b) P œ 4 Q œ 2 R œ 3 S - 5 (c) P œ 4 Q œ 5 R œ 1 S - 2 (d) P œ 3 Q œ 5 R œ 2 S - 1 12. When the temperature of a solid metal increases. (a) strength of the metal decreases but ductility increases (b) both strength and ductility of the metal decrease (c) both strength and ductility of the metal increase (d) strength of the metal increases but ductility decreases
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