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 ratio of the number of students who scored 50 or more than 50 marks but less than 60 marks in Hindi to the number of students who scored 40 or more than 40 marks but less than 50 marks in Punjabi?
- A.
12 : 11
- B.
8 : 7
- C.
3 : 1
- D.
13 : 5
Attempted by 3 students.
Show answer & explanation
Correct answer: D
Step 1: Calculate Hindi students scoring between 50 and 60 marks. From the table, cumulative Hindi students for 50+ is 554 and for 60+ is 424. The difference is 554 - 424 = 130 students.
Step 2: Calculate total students scoring between 40 and 50 marks across both exams. Total students are 1200. The percentage scoring 40+ is 100% and 50+ is 90%. The range percentage is 10%, which equals 120 students.
Step 3: Calculate Hindi students scoring between 40 and 50 marks. Cumulative Hindi for 40+ is 624 and for 50+ is 554. The difference is 624 - 554 = 70 students.
Step 4: Calculate Punjabi students scoring between 40 and 50 marks. Subtract Hindi students from the total: 120 - 70 = 50 Punjabi students.
Step 5: Determine the ratio. The ratio of Hindi students (130) to Punjabi students (50) is 130:50, which simplifies to 13:5.