GATE 2016 Petroleum Engineering (PE) Question Paper with Answer Key PDFs (Jan 31- Afternoon Session)

GATE Questions

• 1.

  The values of a function \( f \) obtained for different values of \( x \) are shown in the table below.

  

  Using Simpson’s one-third rule, approximate the integral \[ \int_0^1 f(x) \, dx \quad \text{(rounded off to 2 decimal places)}. \]

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• 2.

  Two cars, P and Q, start from a point X in India at 10 AM. Car P travels North with a speed of 25 km/h and car Q travels East with a speed of 30 km/h. Car P travels continuously but car Q stops for some time after traveling for one hour. If both cars are at the same distance from X at 11:30 AM, for how long (in minutes) did car Q stop?

  • 10
    
  • 12
    
  • 15
    
  • 18
    
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• 3.

  The state of stress at a point is shown in the figure given below. Under plane stress assumption, the normal strain along the thickness direction (\(\epsilon_{zz}\)) is _________ (rounded off to 2 decimal places).

  

  
   

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• 4.

  If two unbiased coins are tossed, then what is the probability of having at least one head?
  

  • 0.25
    
  • 0.5
    
  • 0.675
    
  • 0.75
    
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• 5.

  During a welding operation, thermal power of 2500 W is incident normally on a metallic surface. As shown in the figure below (figure is NOT to scale), the heated area is circular. Out of the incident power, 85% of the power is absorbed within a circle of radius 5 mm while 65% is absorbed within an inner concentric circle of radius 3 mm. The power density in the shaded area is _________ W mm^-2 (rounded off to 2 decimal places).

  

  
   

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• 6.

  A plate of 30 mm thickness is fed through a rolling mill with two powered rolls. Each roll has a diameter of 500 mm. The plate thickness is to be reduced to 27 mm in a single pass. Assume no change in width. The process feasibility and the maximum draft (in mm) can be represented, respectively, as
  Use the coefficient of friction as 0.12

  • NOT feasible and 6.0
    
  • NOT feasible and 2.6
    
  • feasible and 3.6
    
  • feasible and 3.0
    
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