Home / GATE 2017-2018 / GATE Agricultural :: Practice Test Paper 1

GATE 2017-2018 :: GATE Agricultural

  1. The eigenvalues of the matrix  are
  2. A.
    (3, 6)
    B.
    (1, -2)
    C.
    (5, 4)
    D.
    (1, 6)

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  3. If f'(x) = ex and f(0) = 5, then from Mean Value Theorem, the value of f(1) lies between
  4. A.
    2 and (2 + e)
    B.
    3 and (2 + e)
    C.
    3 and (3 + e)
    D.
    6 and (5 + e)

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  5. The inverse Laplace Transform of s2/(s - 3)3 can be written as e3t/2[At2 + Bt + C]. The values of A, B and C, respectively are
  6. A.
    3, 5 and 7
    B.
    2, 10 and 12
    C.
    10, 12 and 4
    D.
    9, 12 and 2

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  7. A two wheel drive tractor, weighing 15.84 kN with a wheel base of 2160 mm, has the static weight divided between the front and rear axles in the ratio of 30 : 70 on a horizontal level surface. The hitch point is at a height of 700 mm from the ground and at a horizontal distance of 120 mm to the rear side from the center of the rear axle. Pull acts at an angle of 12° downwards from the horizontal. The maximum pull in kN, when the front wheels would just start rising from the ground is
  8. A.
    1.48
    B.
    14.46
    C.
    39.04
    D.
    85.54

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  9. A horizontal axis drag type wind mill with square blades and a horizontal axis lift type wind mill with airfoil section blades having same rotor size are installed at a height of 10 m above the ground. The average wind speed is 25 kmA horizontal axis drag type wind mill with square blades and a horizontal axis lift type wind mill with airfoil section blades having same rotor size are installed at a height of 10 m above the ground. The average wind speed is 25 km h-1. The maximum power coefficient for drag type and lift type wind mills is 0.148 and 0.593, respectively. If the maximum power extracted by drag type wind mill is 5 kW, the corresponding power extracted by lift type wind mill, in kW is
  10. A.
    8.43
    B.
    12.63
    C.
    18.03
    D.
    20.03

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  11. The thresher of a wheat combine harvester has an optimal throughput capacity of 2400 kg (crop) per hour. The harvester has a forward velocity of 4.5 km h-1. Sample tests have revealed that the yield of crop in the field is 3000 kg (grain) per ha. Grain to straw ratio is 60 : 40. If the above throughput is to be maintained, the width of cut of the harvester in m, neglecting turning losses, is
  12. A.
    0.71
    B.
    1.07
    C.
    1.78
    D.
    2.96

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  13. In a disc clutch, the inside and outside radii of the clutch plate are 50 and 100 mm, respectively. If the axial force exerted on the disc is 4 kN, the maximum pressure experienced by the clutch plate in N mm-2 under uniform wear conditions is
  14. A.
    0.13
    B.
    0.17
    C.
    0.25
    D.
    0.51

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  15. A regime channel carrying a discharge of 25 m3 s-1 is designed using Lacey's regime theory. The side slope of the channel is ½ H : 1 V, and Lacey's silt factor is unity. The bottom width and depth of flow in the channel, in m, respectively are
  16. A.
    20.26, 1.38
    B.
    20.26, 1.56
    C.
    23.75, 1.56
    D.
    32.78, 1.56

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  17. Flow is taking place through a layered soil system, having two homogeneous soils M and N, as shown in the figure. The head lost in soil N is 20 times the head lost in soil M. 

    If the permeability of soil M is 3 * 10-4 mm s-1, the permeability of soil N, in mm s-1, will be
  18. A.
    4 * 10-4
    B.
    3 * 10-4
    C.
    2.5 * 10-5
    D.
    1.5 * 10-5

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  19. A trapezoidal canal, having a bottom width of 5.0 m and a side slope of 1 H : 1 V, is carrying a discharge of 20 m3 s-1. The critical depth, in m, is
  20. A.
    1.09
    B.
    1.18
    C.
    2.12
    D.
    2.62

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