the number of questions answered wrongly ?

Sir / Madam,
My questions is,

A test has 50 questions. A student scores 1 mark for a correct answer, -1/3 for a wrong answer, and –1/6 for not attempting a question. If the net score of a student is 32, the number of questions answered wrongly by that student cannot be less than

Advance Thanks,
R.Rengaraj
{InfosysTrain-Q102 Pg26}

Replies

  • Sahithi Pallavi
    Sahithi Pallavi
    I think its 11.

    Am I right?
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    The answer should be 10.

    Since, if we consider student to answer 36 questions correctly, then there would be 14 questions left.

    Out of which 10 answered incorrectly and 4 left.

    which adds up to 10*1/3 + 4*1/6 = 4.

    Thus he scored 36-4 = 32 marks.
  • Sahithi Pallavi
    Sahithi Pallavi
    yes 10 is the correct answer, Mistakenly I said as 11.
  • rengaraj
    rengaraj
    I suggest both answers 10 & 11 are incorrect.
  • Sahithi Pallavi
    Sahithi Pallavi
    Oh!! Then whats the answer rengaraj.
  • rengaraj
    rengaraj
    Dear Sahithi
    I am not sure of the right answer. But, Out of given choices your answer doesn't exist.
    R.Rengaraj
  • rengaraj
    rengaraj
    the provided choices are
    a. 6
    b. 12
    c. 3
    d. 9
  • vik001ind
    vik001ind
    Suppose
    no of correct answers = x
    no of wrong answers = y
    no of unattempted questions = z
    Therefore we will have 2 equations after evaluating it, that are
    x + y + z = 50 ----------(1)
    (x - y*1/3 - z*1/6 =32 ) => 6x -2y - z = 192 --------------(2)
    now add both of them
    we will get
    7x - y = 242 or 7x - 242 = y -----------(3)
    we know that x & y must be positive integers including 0
    least possible no. of y = 3 for y to be +ve where x = 35 (7*35 - 242 = 3 )

    so answer (c) 3
  • rengaraj
    rengaraj
    Thanks for your explanatory answer.
    R.Rengaraj
  • Saandeep Sreerambatla
    Saandeep Sreerambatla
    Nice explanation thanks Vik!!

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