Gate2017 ss Q4

0. 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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