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GATE 2017-2018 :: GATE Agricultural

  1. Specific heat capacity of dry air and water vapour are 1.005 and 1.88 kJ kg-1 K-1, respectively. In an energy conserving system, 1 kg s-1 air at 300C with constant absolute humidity of 0.02 kg water (kg dry air)-1 is heated up to 650C. Water at the wet bulb temperature of air is then sprayed into the air so that the final temperature of the air-water vapour mixture is 400C. Latent heat of vapourization of water at 700C and 400C are 2334 and 2407 kJ kg-1, respectively. 
    The absolute humidity of the exhaust air from the spray chamber in kg water (kg dry air)-1 is
  2. A.
    0.027
    B.
    0.029
    C.
    0.031
    D.
    0.033

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  3. A two-wheel drive tractor weighing 21 kN has a wheel base of 2.1 m. The CG of the tractor is 0.7 m ahead of rear axle centre. The tractor is pulling a single-axle trailer with gross trailer weight of 50 kN on a leveled concrete road while maintaining the line of pull parallel to the ground surface. The tractor hitch point is 42 cm behind the rear axle centre and 52.5 cm above the ground surface. During operation, 20% of the gross trailer weight is transferred to the tractor hitch point. If the coefficient of rolling resistance for each of the tractor and trailer wheels is taken as 0.04, and their ground reactions are assumed to pass through their respective wheel centres, 
    the dynamic ground reaction against the tractor rear wheels in kN is
  4. A.
    14.0
    B.
    24.0
    C.
    24.5
    D.
    26.4

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  5. A two-wheel drive tractor weighing 21 kN has a wheel base of 2.1 m. The CG of the tractor is 0.7 m ahead of rear axle centre. The tractor is pulling a single-axle trailer with gross trailer weight of 50 kN on a leveled concrete road while maintaining the line of pull parallel to the ground surface. The tractor hitch point is 42 cm behind the rear axle centre and 52.5 cm above the ground surface. During operation, 20% of the gross trailer weight is transferred to the tractor hitch point. If the coefficient of rolling resistance for each of the tractor and trailer wheels is taken as 0.04, and their ground reactions are assumed to pass through their respective wheel centres, 
    the gross traction ratio developed by the tractor is
  6. A.
    0.061
    B.
    0.082
    C.
    0.108
    D.
    0.123

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  7. In an experimental setup, the discharge through a triangular notch is 0.0074 m3 s-1 at an operating head of 0.1 m. The coefficient of discharge for the notch is 0.7. If the required discharge is 0.1 m3 s-1 
    the corresponding head in m is
  8. A.
    0.00015
    B.
    0.035
    C.
    0.283
    D.
    67.13

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  9. In an experimental setup, the discharge through a triangular notch is 0.0074 m3 s-1 at an operating head of 0.1 m. The coefficient of discharge for the notch is 0.7. If the required discharge is 0.1 m3 s-1 
    the corresponding width of water surface in m is
  10. A.
    0.80
    B.
    0.099
    C.
    0.00043
    D.
    0.00086

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  11. If 3 ≤ X ≤ 5 and 8 ≤ Y ≤ 11 then which of the following options is TRUE?
  12. A.
    3/5 ≤ X/Y ≤ 8/5
    B.
    3/11 ≤ X/Y ≤ 5/8
    C.
    3/11 ≤ X/Y ≤ 8/5
    D.
    3/5 ≤ X/Y ≤ 8/11

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  13. The Headmaster ___________ to speak to you. 
    Which of the following options is incorrect to complete the above sentence?
  14. A.
    is wanting
    B.
    wants
    C.
    want
    D.
    was wanting

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  15. Mahatama Gandhi was known for his humility as
  16. A.
    he played an important role in humiliating exit of British from India.
    B.
    he worked for humanitarian causes.
    C.
    he displayed modesty in his interactions.
    D.
    he was a fine human being.

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  17. All engineering students should learn mechanics, mathematics and how to do computation. 
                         I                                         II                                     III                                IV 
    Which of the above underlined parts of the sentence is not appropriate?
  18. A.
    I
    B.
    II
    C.
    III
    D.
    IV

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  19. Select the pair that best expresses a relationship similar to that expressed in the pair: water: pipe::
  20. A.
    cart: road
    B.
    electricity: wire
    C.
    sea: beach
    D.
    music: instrument

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