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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.
Which of the following could possibly be C's score?
- a)70
- b)94
- c)86
- d)61
Correct answer is option 'A'. Can you explain this answer?
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Verified Answer
Study the following information carefully to answer the given questio...
Six friends marks descending order ( >) are as follows.
B > D > F > C > E > A
Given, third-highest marks = 81 and E's marks: 62
Therefore, C's score marks between 62 and 81
Hence, C's Possible marks: 70.
Most Upvoted Answer
Study the following information carefully to answer the given questio...
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 third-highest scorer scored 81 marks.
- E scored 62 marks.
Possible scores for C:
- C scored more than only A and E, which means that C's score is less than B, D, and the third-highest scorer.
- The third-highest scorer scored 81 marks, which means that the scores of the top two scorers are greater than 81.
- E scored 62 marks, which means that the scores of the remaining three friends (A, B, and F) are greater than 62.
Based on the above information, the possible scores for C can be calculated as follows:
- The highest scorer cannot be C since C scored more than only A and E.
- The second-highest scorer cannot be C as C scored less than the top two scorers.
- The third-highest scorer scored 81 marks, so C's score must be less than 81.
- E scored 62 marks, which means that the scores of A, B, and F are greater than 62. Therefore, C's score must be greater than 62.
- D scored less than only B, which means that D's score is greater than C's score.
- Therefore, the only possible score for C is 70.
Hence, option A (70) is the correct answer.
- 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 third-highest scorer scored 81 marks.
- E scored 62 marks.
Possible scores for C:
- C scored more than only A and E, which means that C's score is less than B, D, and the third-highest scorer.
- The third-highest scorer scored 81 marks, which means that the scores of the top two scorers are greater than 81.
- E scored 62 marks, which means that the scores of the remaining three friends (A, B, and F) are greater than 62.
Based on the above information, the possible scores for C can be calculated as follows:
- The highest scorer cannot be C since C scored more than only A and E.
- The second-highest scorer cannot be C as C scored less than the top two scorers.
- The third-highest scorer scored 81 marks, so C's score must be less than 81.
- E scored 62 marks, which means that the scores of A, B, and F are greater than 62. Therefore, C's score must be greater than 62.
- D scored less than only B, which means that D's score is greater than C's score.
- Therefore, the only possible score for C is 70.
Hence, option A (70) is the correct answer.
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