What is the difference between the number of students who scored 70 or more than 70 marks but less than 80 marks in Punjabi and the number of students who scored 40 or more than 40 marks but less than 50 marks in Hindi?
- AOption (a)
20
- BOption (b)
16
- COption (c)
14
- DOption (d)
30
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Correct answer
14
Why this answer is correct
The correct answer is - 14
Key Points
- Total students in exam = 1200.
- 70 and above marks:
- Cumulative % of Hindi + Punjabi = 35% of 1200 = 420 students.
- Hindi students (70 and above) = 264.
- Punjabi students (70 and above) = 420 − 264 = 156.
- 80 and above marks:
- Cumulative % = 15% of 1200 = 180 students.
- Hindi students (80 and above) = 108.
- Punjabi students (80 and above) = 180 − 108 = 72.
- Punjabi students scoring 70–79 marks = 156 − 72 = 84.
- 40 and above marks in Hindi = 624, 50 and above marks in Hindi = 554.
- Hindi students scoring 40–49 marks = 624 − 554 = 70.
- Required difference = 84 − 70 = 14.
Additional Information
- Cumulative percentages always include all higher-score categories.
- To find a specific score range, subtract the cumulative total of the next higher category.
- Here, we separated the 70–79 group and 40–49 group using subtraction from cumulative values.
- No failures mean all students scored at least 40 marks.