GATE Solved Paper 2017-19 - GATE 2017 Shift 2

1. There are 3 red socks, 4 green socks and 3 blue socks.You choose 2 socks. The probability that they are of the same colour is.

  • Option : D
  • Explanation :
    Now we can solved by:
    Ways to collect both Red = 3C2
    Ways to collect both Green = 4C2
    Ways to collect both Blue = 3C2
    Total Ways = 10C2
    P(Socks of Same Colour) = (3C2 + 4C2+ 3C2 ) / 10C2 = 4/15
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2. Choose the option with words that are not synonyms.

  • Option : D
  • Explanation :
    The following are synonyms to each other:
    1) aversion, dislike
    2) luminous, radiant
    3) plunder, loot
    Or
    Yield means to give in and resistance means to not give in.
    Rest are all synonyms.
    Hence, (D) is correct.
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4. A test has twenty questions worth 100 marks in total. There are two types of questions, multiple choice questions are worth 3 marks each and essay questions are worth 11 marks each. How many multiple choice questions does the exam have?

  • Option : B
  • Explanation :
    Total marks in the test = 100
    For multiple choice questions = 3 marks
    For essay questions = 11 marks
    Option (A)
    Marks for multiple choice questions = 12 × 3 = 36
    Marks for essay type questions = 100 – 36 = 64
    64 is not divisible by 11
    ∴ Option (A) is not correct.
    Option (B)
    Marks for multiple choice questions = 15 × 3 = 45
    Marks for essay type questions = 100 – 45 = 55/11 = 11
    Essay type questions are 5 No’s
    ∴ Option (B) is correct
    Option (C)
    Marks for multiple choice questions = 18 × 3 = 54
    Marks for essay type questions = 100 – 54 = 46
    46 is not divisible by 11
    ∴ Option (C) is not correct.
    Option (D)
    Marks for multiple choice questions = 19 × 3 = 57
    Marks for essay type questions = 100 – 57 = 43
    46 is not divisible by 11
    ∴ Option (D) is not correct.
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5. Saturn is ____ to be seen on a clear night with the naked eye.

  • Option : B
  • Explanation :
    Saturn is bright enough to be seen on a clear night with the naked eye
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