Q. 17 B4.3( 4 Votes )

In a competitive examination, 5 marks are awarded for each correct answer, while 2 marks are deducted for each wrong answer. Jayant answered 120 questions and got 348 marks. How many questions did he answer correctly?

Answer :

Let the number of correct answers = x


Let the number of wrong answers = y


Total no of questions attempted = x + y = 120


y = 120 - x ….[1]


Marks for each correct answer = 5


Marks for x correct answers = 5x


As 2 marks are deducted for each wrong question,


Marks deducted for y wrong answers = 2y


Total marks obtained by student will be 5x - 2y,


5x - 2y = 348


5x - 2(120 - x) = 348


5x - 240 + 2x = 348


7x = 588


x = 84


Hence, no of correct answers = x = 84


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