Sixth Highest Score Calculation

XAT 2023 · Quantitative Ability & Data Interpretation · Medium · Permutations & Combinations

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?

  1. A.

    92.5

  2. B.

    94

  3. C.

    95.5

  4. D.

    95

  5. E.

    None of the above

Answer

B

Explanation

Max score = 10(2)+10(3)+10(5)=20+30+50=10010(2) + 10(3) + 10(5) = 20 + 30 + 50 = 100. Highest possible scores descending: 1st: 100 2nd: 97.5 (1 wrong in Sec A) 3rd: 97 (1 wrong in Sec B) 4th: 95.5 (1 wrong in Sec A & Sec B) 5th: 95 (1 wrong in Sec C) 6th: 94 (2 wrong in Sec B   ⟹  100−6=94\implies 100 - 6 = 94).

Related Permutations & Combinations questions

Practise this under exam conditions

Sign in to solve it with a live timer, the on-screen CAT calculator, and streak and accuracy tracking across every question you attempt.

Solve in the workspace