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: What is the sum of the number of students who scored 70 or more than 70 but less than 80 marks in Hindi and the number of students who scored 80 or more than 80 marks in Punjabi?
- A.
330
- B.
228
- C.
272
- D.
284
Attempted by 6 students.
Show answer & explanation
Correct answer: B
First, calculate the number of Hindi students who scored between 70 and 80 marks. The cumulative count for '70 and above' is 264, and for '80 and above' is 108. Thus, Hindi students scoring between 70 and 80 = 264 - 108 = 156.
Next, determine the number of Punjabi students who scored 80 or more. The table shows 15% of total students (1200) scored 80 or above in either exam. Total students scoring 80+ = 15% of 1200 = 180. Subtracting the Hindi students (108) gives Punjabi students scoring 80+ = 180 - 108 = 72.
Finally, sum the two values: 156 (Hindi 70-80) + 72 (Punjabi 80+) = 228.