This problem requires calculating the difference between the number of students in two specific score ranges for the Punjabi and Hindi exams, respectively. We need to carefully use the provided data, distinguishing between total student percentages and Hindi-specific student counts.

Goal: Calculate Score Range Difference

The objective is to find the difference between:

• Number of students scoring 70 or more but less than 80 marks in the Punjabi exam.
• Number of students scoring 40 or more but less than 50 marks in the Hindi exam.

Data Analysis: Exam Statistics

We are given the following key information:

• Total number of students who appeared for either the Hindi or Punjabi exam: 1200.
• The table provides cumulative percentages for *all* students (Hindi + Punjabi) and cumulative *counts* specifically for Hindi students across different mark categories.

Let's break down the calculation into steps:

Punjabi Students: 70-79 Marks Calculation

To find the number of Punjabi students scoring between 70 and 79 marks, we first need to determine the number of students scoring 70 or more in Punjabi, and the number scoring 80 or more in Punjabi.

Students Scoring 70+ in Punjabi

1. Total students (Hindi + Punjabi) scoring 70 or more:

• Cumulative percentage = 35%
• Number of students = $35\%$ of $1200$
• Calculation: $\frac{35}{100} \times 1200 = 35 \times 12 = 420$ students.

2. Hindi students scoring 70 or more:

• From the table, the cumulative number of Hindi students scoring 70+ is 264.

3. Punjabi students scoring 70 or more:

• This is the difference between total students (70+) and Hindi students (70+).
• Number of Punjabi students (70+) = $420 - 264 = 156$ students.

Students Scoring 80+ in Punjabi

1. Total students (Hindi + Punjabi) scoring 80 or more:

• Cumulative percentage = 15%
• Number of students = $15\%$ of $1200$
• Calculation: $\frac{15}{100} \times 1200 = 15 \times 12 = 180$ students.

2. Hindi students scoring 80 or more:

• From the table, the cumulative number of Hindi students scoring 80+ is 108.

3. Punjabi students scoring 80 or more:

• This is the difference between total students (80+) and Hindi students (80+).
• Number of Punjabi students (80+) = $180 - 108 = 72$ students.

Students Scoring 70 to 79 in Punjabi

The number of students scoring 70 marks or more but less than 80 marks is found by subtracting those scoring 80+ from those scoring 70+.

• Number of Punjabi students (70 <= Marks < 80) = (Punjabi students 70+) - (Punjabi students 80+)
• Calculation: $156 - 72 = 84$ students.

Hindi Students: 40-49 Marks Calculation

Now, let's find the number of Hindi students scoring between 40 and 49 marks.

Students Scoring 40+ in Hindi

From the table, the cumulative number of Hindi students scoring 40 or more is 624.

Students Scoring 50+ in Hindi

From the table, the cumulative number of Hindi students scoring 50 or more is 554.

Students Scoring 40 to 49 in Hindi

The number of students scoring 40 marks or more but less than 50 marks is found by subtracting those scoring 50+ from those scoring 40+.

• Number of Hindi students (40 <= Marks < 50) = (Hindi students 40+) - (Hindi students 50+)
• Calculation: $624 - 554 = 70$ students.

Final Difference Calculation

Finally, we find the difference between the number of Punjabi students scoring 70-79 and Hindi students scoring 40-49.

• Difference = (Number of Punjabi students scoring 70-79) - (Number of Hindi students scoring 40-49)
• Calculation: $84 - 70 = 14$.

Therefore, the difference is 14.