Q. 103.8( 42 Votes )

In a competitive examination, there were 60 questions. The correct answer would carry 2 marks, and for incorrect answer 1 mark would be subtracted. Yashwant had attempted all the questions and he got total 90 marks. Then how many questions he got wrong?

Answer :

Let the no of questions he got wrong be 'x'


And the no of questions he got right be 'y'


As, he attempted all the questions,


x + y = 60


y = 60 - x eq.[1]


Also, he carries 2 for each corrects question and (-1) for each wrong question, also he got 90 marks


y(2) + x(-1) = 90


2y - x = 90


2(60 - x) - x = 90 eq.[Using 1]


120 - 2x - x = 90


-3x = -30


x = 10


he got 10 wrong questions.


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