Practice Questions
Concept Explanation
Examination problems link marks scored, maximum marks, pass marks, and percentage scores. Percentage = (marks obtained/maximum marks) × 100.
Passing Marks
If pass marks are 40% of maximum M, pass marks = 0.4M.
Failed By / Passed By
If a student scores 30% and fails by 30 marks while pass is 40%, then 10% of max = 30, so max = 300.
Comparing Candidates
Convert each score to a percentage of respective maximum before comparing.
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Q1 Easy
A student scores 450 marks out of 600. What is the percentage?
Explanation(450/600) × 100 = 75%. -
Q2 Easy
Pass marks are 40% of maximum 500. What are the pass marks?
Explanation40% of 500 = 200. -
Q3 Medium
A student gets 36% and fails by 36 marks. If pass marks are 40% of maximum, find maximum marks.
ExplanationDifference 4% of max = 36 → max = 900. -
Q4 Easy
In an exam, maximum marks are 800. A student needs 35% to pass. Pass marks are:
Explanation35% of 800 = 280. -
Q5 Medium
Ravi scored 540 out of 600 and Mohan scored 425 out of 500. Who scored a higher percentage?
ExplanationRavi = 90%, Mohan = 85%. Ravi scored higher. -
Q6 Hard
A student scores 35% and fails by 65 marks. Pass marks are 45% of maximum. Maximum marks are:
ExplanationGap = 10% of max = 65 → max = 650. -
Q7 Medium
In a test of 750 marks, a student scores 82%. Marks obtained are:
Explanation82% of 750 = 615.
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Q8 Easy
A student needs 40% to pass an exam of 350 marks. Minimum passing marks are:
Explanation40% of 350 = 140. -
Q9 Easy
An student scores 288 marks out of 360. The percentage is:
Explanation(288/360) × 100 = 80%. -
Q10 Hard
A student scores 30% and fails by 30 marks. Pass percentage is 40%. Maximum marks are:
Explanation10% of max = 30 → max = 300. -
Q11 Medium
In an exam, 65% of 400 marks is required for distinction. Distinction marks are:
Explanation65% of 400 = 260. -
Q12 Hard
A student gets 45% marks and still fails by 10 marks. If pass marks are 50% of total, maximum marks are:
ExplanationGap = 5% of max = 10 → max = 200. -
Q13 Medium
Priya scored 84 out of 120 and Kiran scored 105 out of 150. Who has the higher percentage?
ExplanationPriya = 70%, Kiran = 70%. Both equal. -
Q14 Medium
If maximum marks are 500 and a student scores 62%, marks obtained are:
Explanation62% of 500 = 310.
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DS1 Easy
What are the pass marks?
Statement IMaximum marks are 800.
Statement IIPass percentage is 35%.
ExplanationPass marks = 35% of 800 = 280. Both needed. -
DS2 Medium
What is the maximum marks?
Statement IA student scores 30% and fails by 30 marks.
Statement IIPass marks are 40% of maximum.
Explanation10% of max = 30 → max = 300. Both needed.
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DS3 Medium
Did the student pass?
Statement IMaximum marks are 500 and pass marks are 200.
Statement IIThe student scored 220 marks.
ExplanationPass mark is 200; score 220 exceeds it. Both needed to compare score with pass mark. -
DS4 Easy
What is the student's percentage?
Statement IMarks obtained are 450.
Statement IIMaximum marks are 600.
ExplanationPercentage = (450/600) × 100 = 75%. Both needed.