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GATE 2017-2018 :: GATE Chemical

  1. In a factory, two machines M1 and M2 manufacture 60% and 40% of the autocomponents respectively. Out of the total production, 2% of M1 and 3% of M2 are found to be defective. If a randomly drawn autocomponent from the combined lot is found defective, what is the probability that it was manufactured by M2?
  2. A.
    0.35
    B.
    0.45
    C.
    0.5
    D.
    0.4

  3. Following table gives data on tourists from different countries visiting India in the year 2011.

    Which two countries contributed to the one third of the total number of tourists who visited India in 2011?
  4. A.
    USA and Japan
    B.
    USA and Australia
    C.
    England and France
    D.
    Japan and Australia

  5. If |-2x + 9| = 3 then the possible value of |-x| - x2 would be:
  6. A.
    30
    B.
    -30
    C.
    -42
    D.
    42

  7. All professors are researchers 
    Some scientists are professors 
    Which of the given conclusions is logically valid and is inferred from the above arguments:
  8. A.
    All scientists are researchers
    B.
    All professors are scientists
    C.
    Some researchers are scientists
    D.
    No conclusion follows