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GATE 2017-2018 :: GATE Production

  1. The fixed cost and the variable cost of production of a product are Rs. 20000 and Rs. 50 per unit, respectively. The demand for the item is 500 units. To break even, the unit price of the items in Rs. should be
  2. A.
    50
    B.
    75
    C.
    90
    D.
    100

  3. Therbligs refer to the
  4. A.
    basic types of fixtures used in machining.
    B.
    fundamental motions used in manual work.
    C.
    basic types of waste in manufacturing process.
    D.
    fundamental types of material handling systems.

  5. Customers arrive at a ticket counter at a rate of 50 per hr and tickets are issued in the order of their arrival. The average time taken for issuing a ticket is 1 min. Assuming that customer arrivals form a Poisson process and service times are exponentially distributed, the average waiting time in queue in min is
  6. A.
    3
    B.
    4
    C.
    5
    D.
    6

  7. Circular blanks of 10 mm diameter are punched from an aluminum sheet of 2 mm thickness. The shear strength of aluminum is 80 MPa. The minimum punching force required in kN is
  8. A.
    2.57
    B.
    3.29
    C.
    5.03
    D.
    6.33

  9. A metric thread of pitch 2 mm and thread angle 60° is inspected for its pitch diameter using 3-wire method. The diameter of the best size wire in mm is
  10. A.
    0.866
    B.
    1.000
    C.
    1.154
    D.
    2.000

  11. Match the CORRECT pairs.

  12. A.
    P-4, Q-3, R-1, S-2
    B.
    P-4, Q-2, R-3, S-1
    C.
    P-2, Q-3, R-4, S-1
    D.
    P-2, Q-4, R-1, S-3

  13. In a rolling process, the state of stress of the material undergoing deformation is
  14. A.
    pure compression
    B.
    pure shear
    C.
    compression and shear
    D.
    tension and shear

  15. Consider one-dimensional steady state heat conduction along x-axis (0 ≤ x ≤ L), through a plane wall; with the boundary surfaces (x=0 and x=L) maintained at temperatures of 0°C and 100°C. Heat is generated uniformly throughout the wall. Choose the CORRECT statement.
  16. A.
    The direction of heat transfer will be from the surface at 100°C to the surface at 0°C.
    B.
    The maximum temperature inside the wall must be greater than 100°C.
    C.
    The temperature distribution is linear within the wall.
    D.
    The temperature distribution is symmetric about the mid-plane of the wall.

  17. A cylinder contains 5 m3 of an ideal gas at a pressure of 1 bar. This gas is compressed in a reversible isothermal process till its pressure increases to 5 bar. The work in kJ required for this process is
  18. A.
    804.7
    B.
    953.2
    C.
    981.7
    D.
    1012.2

  19. A planar closed kinematic chain is formed with rigid links PQ = 2.0 m, QR = 3.0 m, RS = 2.5 m and SP = 2.7 m with all revolute joints. The link to be fixed to obtain a double rocker (rockerrocker) mechanism is
  20. A.
    PQ
    B.
    QR
    C.
    RS
    D.
    SP