Question of The Day11-02-2021

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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