The following table shows the cumulative percentage of the total number of…
2025
The following table shows the cumulative percentage of the total number of students appearing in the Hindi and Punjabi examination and the cumulative number of students appearing in the Hindi examination and scoring marks in five different categories, namely, 80 and above; 70 and above; 60 and above; 50 and above; and 40 and above. Based on the data in the table, answer the questions that follow.
Marks-wise distribution of students
Marks (Out of 100) | Cumulative percentage of the total number of students who appeared in Hindi and Punjabi | Cumulative number of students who appeared in Hindi |
80 and above | 15% | 108 |
70 and above | 35% | 264 |
60 and above | 65% | 424 |
50 and above | 90% | 554 |
40 and above | 100% | 624 |
Note:
(1) Total number of students who attended the exam is 1200.
(2) No student failed in the examination.
(3) Each student appeared in only one exam, that is, either in Hindi or in Punjabi exam.
Question: The number of students who scored 80 and above marks in Hindi is ________ % less than the number of students who scored 60 or more than 60 marks but less than 70 marks in Punjabi.
- A.
46
- B.
54
- C.
44
- D.
52
Attempted by 2 students.
Show answer & explanation
Correct answer: A
First, calculate the total number of students scoring between 60 and 70 marks across both exams. The cumulative percentage for '60 and above' is 65% and for '70 and above' is 35%. The difference represents the percentage of students scoring between 60 and 70 marks.
Total students in this range = (65% - 35%) × 1200 = 30% × 1200 = 360 students.
Next, find the number of Hindi students scoring between 60 and 70 marks. Using the cumulative counts: (424 - 264) = 160 students.
Now, determine the number of Punjabi students scoring between 60 and 70 marks by subtracting Hindi students from the total range: 360 - 160 = 200 students.
The number of Hindi students scoring 80 and above is given as 108.
Finally, calculate the percentage by which Hindi students (80+) are less than Punjabi students (60-70): ((200 - 108) / 200) × 100 = (92 / 200) × 100 = 46%.