Passing threshold from fail data: A student must score 40% to pass. He scores 40 marks and fails by 40 marks. What are the maximum marks of the exam?
Aptitude
Percentage
Difficulty: Easy
Choose an option
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A200
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B250
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C300
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D150
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E400
Answer
Correct Answer: 200
Explanation
Introduction / Context:We will use the relationship between required pass percentage, maximum marks, and the student’s shortfall.
Given Data / Assumptions:
- Pass mark = 40% of maximum marks M.
- Student’s actual marks = 40.
- He fails by 40 marks ⇒ Pass mark = 40 + 40 = 80.
Concept / Approach:Set 0.40 * M = 80 and solve for M.
Step-by-Step Solution:
0.40M = 80.M = 80 / 0.40 = 200.Verification / Alternative check:40% of 200 = 80. Candidate had 40, short by 40 — matches the statement.
Why Other Options Are Wrong:
- 250, 300, 150, 400 do not yield a pass mark of 80 at 40%.
Common Pitfalls:Confusing “fails by 40” with “scored 40%” or misplacing what the 40 refers to.
Final Answer:200