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 average of the number of students who scored 50 or more than 50 marks but less than 60 marks in Punjabi and the number of students who scored 50 or more than 50 marks but less than 60 marks in Hindi?
- A.
180
- B.
150
- C.
200
- D.
140
Attempted by 5 students.
Show answer & explanation
Correct answer: B
First, calculate the total number of students scoring 50 or more and 60 or more across both Hindi and Punjabi exams. Total students = 1200. Students scoring 50+ = 90% of 1200 = 1080. Students scoring 60+ = 65% of 1200 = 780.
Next, find the number of Hindi students scoring between 50 and 60 marks. From the table, Hindi students scoring 50+ is 554 and 60+ is 424. So, Hindi students in [50, 60) = 554 - 424 = 130.
Then, find the number of Punjabi students scoring between 50 and 60 marks. Total students in [50, 60) combined is 1080 - 780 = 300. However, we need individual counts. Punjabi students scoring 50+ = Total 50+ - Hindi 50+ = 1080 - 554 = 526. Punjabi students scoring 60+ = Total 60+ - Hindi 60+ = 780 - 424 = 356. Punjabi students in [50, 60) = 526 - 356 = 170.
Finally, calculate the average of the two counts. Average = (130 + 170) / 2 = 300 / 2 = 150.