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Question

Among seven people A, B, C, D, E, F and G, scored different marks (out of 100) in an exam. A scored the highest. G's marks were a multiple of 9, but more than 85. Nobody scored more than 92. The sum of the marks of G and F was 150. D scored more than only E. C scored more than F and less than B. E scored 33 marks. Which of the following can be a possible score for D?

This question was previously asked in
PYST : General Awareness - SSC Stenographer 2024 (Tier-I) (10-Dec-2024) (Shift 2)
The correct answer is
48

Let's analyze the given information step-by-step to determine the possible score for D.

  • A scored the highest: A's score is greater than everyone else's.
  • G's marks were a multiple of 9, but more than 85: Since nobody scored more than 92, G's score must be 81 or 90 or 99. Since the maximum is 92, G scored 90 or 99. But G cannot score 99 because that would imply that A scored more than 99.
  • The sum of the marks of G and F was 150: This implies \( G + F = 150 \).
  • D scored more than only E: D scored more than E, but less than everyone else except E.
  • C scored more than F and less than B: This establishes the relative order of scores for C, F, and B.
  • E scored 33 marks: E's score is the lowest.

From the above, if G scored 90, then F scored 60 \( (150 - 90) \). If G scored 81, then F scored 69. Since C scored more than F, F's score is either 60 or 69.

Considering the options, D cannot be 30 because D scored more than E (33). D cannot be 62 or 63 because these scores are higher than F (60 or 69) and would mean D scored more than C and B as well, which is a contradiction.

Therefore, the only possible score for D is 48, which fits within the constraints given and would mean that the score ordering would be A > B > C > F > D > E.

The possible score order is: A > B > C > F > D > E. This allows for D to score 48, making it higher than E but lower than the others.

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