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GATE 2017-2018 :: GATE Production

  1. A project consists of seven activities, whose durations are independent normal random variables, as shown in the table below. Activities are identified by their beginning node i and ending node j.

    The critical path of the project, based on the mean activity duration, is
  2. A.
    1-2-3-4-5
    B.
    1-2-3-5
    C.
    1-3-5
    D.
    1-3-4-5

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  3. A project consists of seven activities, whose durations are independent normal random variables, as shown in the table below. Activities are identified by their beginning node i and ending node j.

    Let Φ denote the cumulative distribution function of the standard normal random variable. The probability that all activities on the critical path, based on the mean activity duration, are completed in 22 days is
  4. A.
    Φ-1(0.333)
    B.
    Φ-1(0.816)
    C.
    Φ-1(1.664)
    D.
    Φ-1(2.235)

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  5. In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N. 
    The orthogonal rake angle of the cutting tool in degree is
  6. A.
    zero
    B.
    3.58
    C.
    5
    D.
    7.16

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  7. In orthogonal turning of a bar of 100 mm diameter with a feed of 0.25 mm/rev, depth of cut of 4 mm and cutting velocity of 90 m/min, it is observed that the main (tangential) cutting force is perpendicular to the friction force acting at the chip-tool interface. The main (tangential) cutting force is 1500 N. 
    The normal force acting at the chip-tool interface in N is
  8. A.
    1000
    B.
    1500
    C.
    2000
    D.
    2500

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  9. Were you a bird, you ___________________ in the sky.
  10. A.
    would fly
    B.
    shall fly
    C.
    should fly
    D.
    shall have flown

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  11. Choose the grammatically INCORRECT sentence:
  12. A.
    He is of Asian origin.
    B.
    They belonged to Africa.
    C.
    She is an European.
    D.
    They migrated from India to Australia.

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  13. Complete the sentence: 
    Universalism is to particularism as diffuseness is to _______________.
  14. A.
    specificity
    B.
    neutrality
    C.
    generality
    D.
    adaptation

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  15. What will be the maximum sum of 44, 42, 40, ...... ?
  16. A.
    502
    B.
    504
    C.
    506
    D.
    500

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  17. Which one of the following options is the closest in meaning to the word given below? 
    Nadir
  18. A.
    Highest
    B.
    Lowest
    C.
    Medium
    D.
    Integration

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  19. A tourist covers half of his journey by train at 60 km/h, half of the remainder by bus at 30 km/h and the rest by cycle at 10 km/h. The average speed of the tourist in km/h during his entire journey is
  20. A.
    36
    B.
    30
    C.
    24
    D.
    18

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