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Question

Question 21
In a competitive examination, 1 mark is awarded for each correct answer while 12 mark is deducted for every wrong answer. Jayanti answered 120 questions and got 90 marks. How many questions did she answer correctly?
Assume she answered all the questions.

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Solution

Let x be the number of correct answers of the questions in a competitive examination, then (120 – x) will be the number of wrong answers of the questions.
Then, by given conditions,
(x×1)((120x)×12)=90
3x2 - 60 = 90
3x2=150 x=150×23=50×2=100
Hence, Jayanti answered 100 questions correctly.

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