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Question 19 : There are three sections in a question paper and each section has 10 questions. First section only has multiple-choice questions, and 2 marks will be awarded for each correct answer. For each wrong answer, 0.5 marks will be deducted. Any un-attempted question in this section will be treated as a wrong answer. Each question in the second section carries 3 marks, whereas each question in the third section carries 5 marks. For any wrong answer or un-attempted question in the second and third sections, no marks will be deducted. A student’s score is the addition of marks obtained in all the three sections. What is the sixth highest possible score?
Let’s imagine a scenario where the student scores all the questions correctly.
The maximum possible score is \( 2 \times 10 + 3 \times 10 + 5 \times 10 = 100 \).
For each mistake/non-attempt, you lose 2 + 0.5 marks. In the second and third sections, you lose 3 and 5 marks respectively.
Rank | Score |
1 | 100 - 0 = 100 |
2 | 100 - 2.5 = 97.5 |
3 | 100 - 3 = 97 |
4 | 100 - 5 = 95 |
5 | 100 - 5.5 = 94.5 |
6 | 100 - 6 = 94 |
Choice B is the correct answer.
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