Two examinations shared identical maximum scores. Passing thresholds for the initial and subsequent tests stood at 40% and 45% respectively. A participant obtained 216 marks on the second test and fell short of passing by 36 marks. Determine the passing score for the initial test?
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Answer: E. None of these
Explanation
Adding the shortfall to the achieved score determines the exact passing marks for the second test. Dividing the second test passing marks by its percentage threshold calculates the total maximum score. Applying the first test percentage threshold to the maximum score reveals the required passing marks. Passing thresholds represent specific percentage fractions of an identical maximum possible examination score. Standard linear equations allow the reconstruction of total test marks from partial score data. When calculated passing requirements do not match provided choices, alternative options must be selected.
Academic institutions frequently normalize test scores and passing criteria across different examination papers. Standardized testing procedures rely on consistent maximum score baselines for fair evaluation. Student performance analysis requires accurate interpretation of percentage thresholds and raw mark totals. Option A represents an incorrect calculation that fails to utilize the maximum score correctly. Option B underestimates the threshold value derived from the second test data. Option C results from an arithmetic error during the maximum score determination process.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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