In an examination, there are 100 questions. There is a negative marking of -12 marks \(-{1 \over 2}\) marks and maximum marks for the paper is 200. If Ravi attempts only 80 questions and got 115 marks, what is the count of Ravi's wrong questions?
Answer
Correct Answer : a ) 18
Explanation :According to the question,
Total marks for the examination are = 200
Thus, marks for each correct question will be = 200/100 = 2 marks
Let us assume total incorrect questions attempted by Ravi = x
Thus, the correct question attempted by Ravi = 80 – x
Now, according to the question
Correct marks – Incorrect marks = 115
\((80-x)*2-x*{1 \over 2}=115\)
⇒\(160-2x-{x \over 2}=115\)
⇒\({5x \over 2}=160-115\)
⇒ 5x = 45 * 2
⇒ x = 18
Therefore, total incorrect questions for Ravi = 18 questions
Hence, (a) is the correct answer.
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