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Study the following information carefully to answer the given questions.
Each of the six friends, A, B, C, D, E, and F scored different marks in an examination. C scored more than only A, and E. D scored less than only B. E did not score the least. The one who scored the third-highest marks scored 81 marks. E scored 62 marks.
The person who scored the maximum scored 13 marks more than F's marks. Which of the following can be D's score?
  • a)
    84
  • b)
    6
  • c)
    89
  • d)
    78
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
Study the following information carefully to answer the given questio...
B scored the highest marks.
Therefore, B's marks = F's marks + 13
= 81 + 13
=94
D scored second highest marks.
Therefore, D scored marks between 81 and 94
Hence, D's Possible marks = 89
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Most Upvoted Answer
Study the following information carefully to answer the given questio...
Exam Marks of Six Friends

Heading: Given Information

- A, B, C, D, E, and F scored different marks in an examination.
- C scored more than only A and E.
- D scored less than only B.
- E did not score the least.
- The person who scored the third-highest marks scored 81 marks.
- E scored 62 marks.
- The person who scored the maximum scored 13 marks more than F's marks.

Heading: Possible Scores of Each Friend

- The highest marks scored by a friend is 81 + 13 = 94 marks.
- The third-highest marks scored by a friend is 81 marks.
- E scored 62 marks, which is not the least.
- So, the least score is either A's or D's score.
- C scored more than only A and E. So, C's score is less than B, D, and the highest scorer's scores.

Heading: Possible Scores of Each Friend

- The maximum score is 94 marks, which is scored by either B or F.
- The person who scored the third-highest marks scored 81 marks. So, C's score is either 82 or 83 marks.
- As E did not score the least, A's score must be less than 62 marks. So, A's score is either 61 or 60 marks.
- D scored less than only B. So, D's score is either 84 or 89 marks.

Heading: Conclusion

- Therefore, the possible scores of each friend are:
- A: 61 or 60 marks
- B: 94 marks
- C: 82 or 83 marks
- D: 84 or 89 marks
- E: 62 marks
- F: 81 marks
- The question asks for the possible score of D. So, it can be either 84 or 89 marks.
- Therefore, the correct answer is option 'C' (89 marks).
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