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GATE 2017-2018 :: GATE Mining Engineering

GATE Mining Engineering - Practice Test Paper 1
  1. A flat bauxite deposit has thickness of 10 m with an average density of 2200 kg/m3. The grade values and the sample coordinates are as shown in the table. To carry out reserve estimation using triangular method, the triangles are constructed as shown in the figure.

    The alumina content in million tonnes, in the region comprising the three triangles is _________
    2. A.
    1.9 to 2
    B.
    0.9 to 1
    C.
    2.9 to 3
    D.
    5.9 to 6

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  2. A bucket wheel excavator with 20 buckets of capacity 0.5 m3 each, rotates at 5 rev/min. The bucket fill factor is 80%. The excavator loads on to 1200 mm wide belt conveyor. The cross-section area (m2) of the material on the belt is 0.1B2, where B is the belt width in m. The minimum speed of the belt in m/s to avoid spillage of material is
    3. A.
    7.23
    B.
    5.79
    C.
    4.63
    D.
    3.70

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  3. A simplex tableau shown below is generated during the maximization of a linear programming problem using simplex method

    After one iteration, the value of the objective function becomes
    4. A.
    48/7
    B.
    11/3
    C.
    22/7
    D.
    2/3

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  4. The value of  is
    5. A.
    -Ï€/2 log2
    B.
    -Ï€/4 log2
    C.
    π/2 log2
    D.
    π/4 log2

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  5. Given the following,
    Machine                      Component
    P. Dint header              1. Cowl
    Q. Coal plough             2. Cutting chain
    R. Road header            3. Loading apron
    S. Shearer                     4. Static set of bits
    the correct match is
    6. A.
    P-4,Q-2,R-3,S-1
    B.
    P-3,Q-4,R-2,S-1
    C.
    P-2,Q-3,R-4,S-1
    D.
    P-2,Q-4,R-3,S-1

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  6. Given the following,
    Rescue apparatus        Characteristic
    P. Draeger BG-4         1. Open circuit chemical oxygen self-rescuer
    Q. MSA IW-65             2. Filter type self-rescuer
    R. Draeger Pulmotor 3. Self-contained breathing apparatus
    S. Oxyboks                  4. Resuscitation apparatus
    the correct match is
    7. A.
    P-3, Q-2, R-1, S-4
    B.
    P-4, Q-1, R-2, S-3
    C.
    P-3, Q-2, R-4, S-1
    D.
    P-1, Q-4, R-3, S-2

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  7. Given the following,
    Equation/formula/law         Application
    P. Bernoulli equation       1. Pressure loss in laminar flow of fluid
    Q. Poiseuille equation     2. Drag loss due to regular obstructions in fluid flow
    R. Bromilow's formula    3. Energy conservation in ideal fluid flow
    S. Stokes law                    4. Terminal settling velocity of fine particles in fluid
    the correct match is
    8. A.
    P-3, Q-1, R-2, S-4
    B.
    P-1, Q-3, R-2, S-4
    C.
    P-2, Q-3, R-4, S-1
    D.
    P-3, Q-1, R-4, S-2

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  8. Four psychrometric processes P, Q, R and S are shown in the psychrometric chart below.

    These processes respectively represent
    9. A.
    dehumidification, humidification, sensible heating, sensible cooling
    B.
    sensible heating, humidification, dehumidification, sensible cooling
    C.
    dehumidification, sensible heating, sensible cooling, humidification
    D.
    humidification, sensible heating, dehumidification, sensible cooling

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  9. Given the following differential equation 
    d2y/dx2 + 7 dy/dx + 12y = 0 
    the general solution is
    10. A.
    y = Ae4x + Be-3x
    B.
    y = Ae-4x + Be-3x
    C.
    y = Ae3x + Be-4x
    D.
    y = Ae4x + Be3x

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  10. Given the following,
    Mining method                              Technique
    P Thick seam extraction             1 Double unit face
    Q Bord and pillar extraction      2 Jet cutting
    R Longwall face development   3 Inclined slicing
    S Hydraulic mining                      4 Half moon method
    the correct match is
    11. A.
    P-3, Q-4, R-2, S-1
    B.
    P-1, Q-4, R-2, S-3
    C.
    P-3, Q-2, R-1, S-4
    D.
    P-3, Q-4, R-1, S-2

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