Home / GATE 2017-2018 / GATE Agricultural :: Practice Test Paper 2

GATE 2017-2018 :: GATE Agricultural

  1. If P = A×B , where A =  and B =  then P is
  2. A.
    .

    B.
    .

    C.
    .

    D.
    .


  3. If C = A×B , where A = 2i - j + 3k and B = i + 2j ; then C is
  4. A.
    -6i + 3j + 5k
    B.
    6i + 3j "“ 5k
    C.
    -6i + 2j + 3k
    D.
    6i + 2j + 5k

  5. The general solution of the differential equation d2y/dx2 -3 dy/dx - 4y = 0 is
  6. A.
    Aex + Be-4x
    B.
    Ae-x + Be4x
    C.
    Aex + Be-4x
    D.
    Ae-x + Be-4x

  7. Eigenvalues of the matrix  are
  8. A.
    ±2i
    B.
    2i ± √3
    C.
    2 ± i√3
    D.
    2 ± √3

  9. Poisson distribution having a mean of 5 will have √5 as
  10. A.
    median
    B.
    mode
    C.
    standard deviation
    D.
    variance

  11. During the testing of a spike-tooth type thresher for wheat crop, the throughput and the thresher capacity were found to be 750 kg h-1 and 445 kg h-1, respectively. The grain-straw ratio (grain : straw) of the crop is 1.5 : 1. Material other than grain (MOG) collected at the main grain outlet is 0.5%. The total grain loss in percentage from all the sources will be
  12. A.
    0.33
    B.
    0.50
    C.
    1.11
    D.
    1.61

  13. The rear furrow wheel in a tractor mounted disc plough is provided to
  14. A.
    reduce the frictional power loss
    B.
    maintain the uniform depth of cut
    C.
    reduce the side draft
    D.
    improve the penetration of the plough

  15. The cumulative discharge of a tractor mounted hydraulic sprayer having 7 nozzles is 2.0 L min-1 when the tractor is operated at 4 km h-1. If the nozzle spacing is 0.3 m, the discharge in L ha-1 is
  16. A.
    1000.02
    B.
    285.72
    C.
    166.67
    D.
    142.86

  17. A two-wheel drive tractor, while negotiating a terrain, indicates 100% slip of one of the rear wheels. Under such a condition, the use of differential lock causes
  18. A.
    equal speed and equal power distribution to both the drive wheels
    B.
    equal speed and equal torque distribution to both the drive wheels
    C.
    equal power and equal torque distribution to both the drive wheels
    D.
    equal speed and unequal power distribution to both the drive wheels

  19. A double acting hydraulic cylinder has a rod diameter equal to one-half the piston diameter. If the system pressure is maintained constant, the ratio of load carrying capacity of extension stroke to that of retraction stroke is
  20. A.
    0.75
    B.
    1.00
    C.
    1.33
    D.
    4.00