Marks-wise distribution of studentsMarks (Out of 100) Cumulative precentage 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.
The question asks for the sum of two values: the number of students who scored between 70 and 79 marks (inclusive of 70, exclusive of 80) in the Hindi exam, and the number of students who scored 80 or more marks in the Punjabi exam.
Calculating Hindi Students Scoring 70-79 Marks
We need to find the number of Hindi students who scored in the range [70, 79].
- From the table, the cumulative number of students who appeared in Hindi and scored 70 or above is 264.
- The cumulative number of students who appeared in Hindi and scored 80 or above is 108.
- The number of students scoring between 70 and 79 marks (i.e., >= 70 and < 80) in Hindi is the difference between these two cumulative numbers.
Calculation:
Number of Hindi students (70-79 marks) = (Cumulative Hindi students scoring 70+) - (Cumulative Hindi students scoring 80+)
Number of Hindi students (70-79 marks) = 264 - 108 = 156
Calculating Punjabi Students Scoring 80 or More Marks
We need to find the number of Punjabi students who scored 80 or more marks.
- The table provides the 'Cumulative percentage of the total number of students who appeared in Hindi and Punjabi' scoring 80 and above, which is 15%.
- The total number of students who attended the exam is given as 1200.
- Therefore, the total number of students (Hindi + Punjabi) scoring 80 and above is 15% of 1200.
- The number of Hindi students scoring 80 and above is given as 108.
- Since each student appeared in only one exam (Hindi or Punjabi), the number of Punjabi students scoring 80 and above can be found by subtracting the Hindi students scoring 80+ from the total students scoring 80+.
Calculations:
Total students (80+ marks) = 15% of 1200
Total students (80+ marks) = $\\frac{15}{100} \\times 1200 = 15 \\times 12 = 180$
Number of Punjabi students (80+ marks) = (Total students scoring 80+ marks) - (Hindi students scoring 80+ marks)
Number of Punjabi students (80+ marks) = 180 - 108 = 72
Calculating the Total Sum
The question asks for the sum of:
- Number of Hindi students scoring 70-79 marks = 156
- Number of Punjabi students scoring 80+ marks = 72
Total Sum = 156 + 72 = 228
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 is 228.
Important Questions from Tabulation
What is the ratio of total number of patients recovered from covid-19 in April to total number of patients recovered from covid-19 in March?
In which state, the number of patients who recovered from covid-19 steadily decreasing?
What is the average number of patients who recovered from Covid-19 in Madhya Pradesh in four months?
Find the difference between the total number of patients recovered from Covid-19 in all months in Punjab and the total number of patients recovered from Covid-19 in all months in Rajasthan.
In February 2021 the number of patients recovered from Covid-19 in Punjab is how much approximant percent more/less than the number of patients recovered from Covid-19 Uttar Pradesh in the same month?
