XAT 2023 — QA & DI Question 7
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 unattempted 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?
Answer & solution
- A
92.5
94
- C
95.5
- D
95
- E
None of the above
Marking Scheme:
Section A: Correct Answer = +2; Wrong/Unattempted Question = -0.5
Section B: Correct Answer = +3; Wrong/Question = -0.5
Section C: Correct Answer = +5; Wrong/Question = -0.5
Each section has 10 questions.
âââââââ∴ Maximum marks = 10 × 2 + 10 × 3 + 10 × 5 = 100.
For each unattempted/wrong question in section A, marks obtained will go down by 2.5.
For each unattempted/wrong question in section B, marks obtained will go down by 3.
For each unattempted/wrong question in section C, marks obtained will go down by 5.
⇒ 2nd highest marks (when 1 Q is wrong in section A) = 100 - 2.5 = 97.5
⇒ 3rd highest marks (when 1 Q is wrong in section B) = 100 - 3 = 97
⇒ 4th highest marks (when 1 Q is wrong in section C) = 100 - 5 = 95
⇒ 5th highest marks (when 1 Q is wrong in section A and B) = 100 - 5.5 = 94.5
⇒ 6th highest marks (when 2 Qs are wrong in section B) = 100 - 6 = 94
Hence, option (b).