Question

In an entrance exam, two marks are given for every correct answer and one negative mark for every in- correct answer. If Meena gets 48 correct answers and her total score is 84, how many questions did she answer incorrectly?

Answer 1

Answer:

Case 1: Asha scored =26 marks

Correct answer by Asha =9

Let incorrect answers by Asha be x

According to question, 9(4)+x(−2)=26

−2x=26−36

⇒x=5.

Incorrect answers by Asha =5

Case 2: Varun scored =2 marks

Correct answers by Varun =5

Let incorrect answers by Varun be y

According to question, we have

5(4)+y(−2)=2⇒−2y=2−20⇒y=9

Incorrect answers by Varun =9.

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