there are 90 multiple choice question in a test a candidate gets 2 mark each every correct answer and for every wrong answer 1 mar

there are 90 multiple choice question in a test a candidate gets 2 mark each every correct answer and for every wrong answer 1 mark is deducted from the total score of correct answer if a candidate scored 60 marks in the test​

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  1. Answer:

    [tex]\huge\mathsf{\color{green}{\underline {\underline{Answer}}}}[/tex]

    Suppose the no. of correctly answered questions be ‘x’, then no. of wrongly answer questions = 90-x.

    It is given that for every correct answer 2 mrks are answered.

    No. of marks scored for correct answers:- 2x

    And it is given that for every wrongly answered questions ‘1’ mark is deducted.

    No. of marks to be deducted from the score =

    = (90x – x) × 1 = 90 – x

    Total score = 2x-(90-x) = 2x – 90 + x = 3x – 90

    But it is given that total score is 60.

    [tex]3x – 90 = 60 \\ 3x = 60 + 90 \\ 3x = 150 \\ x = \frac{150}{3} = 50[/tex]

    No. of questions answered Crctly = x = 50.

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