The following table shows the percentage of marks obtained by 7 students in different subjects. Study the table data and answer the question 1 to 5 based on this data. (Here M.M = maximum marks in a subject)Percentage of marks obtained by students Subject → English
(Μ.Μ=150)Economics
(Μ.Μ=130)Sociology
(Μ.Μ=120)Philosphy
(M.M=100)Psychology
(Μ.Μ=60)IT
(Μ.Μ=40)↓ Student A 80 50 80 60 70 80 B 90 80 70 40 80 70 C 80 60 70 70 80 70 D 70 65 80 80 60 60 E 70 65 80 75 50 80 F 60 75 60 80 40 60 G 60 35 50 70 70 70
English Overall Percentage Calculation
The overall percentage for a subject is calculated using the formula:
Overall Percentage = $ \frac{\text{Total Marks Obtained by all students}}{\text{Total Maximum Marks possible for all students}} \times 100 $
For English, the Maximum Marks (M.M.) per student is 150.
- Total Marks Obtained in English: Sum of marks obtained by each student.
- A: $0.80 \times 150 = 120$
- B: $0.90 \times 150 = 135$
- C: $0.80 \times 150 = 120$
- D: $0.70 \times 150 = 105$
- E: $0.70 \times 150 = 105$
- F: $0.60 \times 150 = 90$
- G: $0.60 \times 150 = 90$
- Sum of Marks Obtained = $120 + 135 + 120 + 105 + 105 + 90 + 90 = 765$.
- Total Maximum Marks in English for 7 students = $7 \times 150 = 1050$.
- Overall Percentage in English = $ \frac{765}{1050} \times 100 $
$\approx 72.857\%$
Rounded to two decimal places, the overall percentage is 72.85%.
Philosophy Overall Percentage Calculation
For Philosophy, the Maximum Marks (M.M.) per student is 100.
- Total Marks Obtained in Philosophy: Sum of marks obtained by each student.
- A: $0.60 \times 100 = 60$
- B: $0.40 \times 100 = 40$
- C: $0.70 \times 100 = 70$
- D: $0.80 \times 100 = 80$
- E: $0.75 \times 100 = 75$
- F: $0.80 \times 100 = 80$
- G: $0.70 \times 100 = 70$
- Sum of Marks Obtained = $60 + 40 + 70 + 80 + 75 + 80 + 70 = 475$.
- Total Maximum Marks in Philosophy for 7 students = $7 \times 100 = 700$.
- Overall Percentage in Philosophy = $ \frac{475}{700} \times 100 $
$\approx 67.857\%$
Rounded to two decimal places, the overall percentage is 67.85%.
IT Overall Percentage Calculation
For IT, the Maximum Marks (M.M.) per student is 40.
- Total Marks Obtained in IT: Sum of marks obtained by each student.
- A: $0.80 \times 40 = 32$
- B: $0.70 \times 40 = 28$
- C: $0.70 \times 40 = 28$
- D: $0.60 \times 40 = 24$
- E: $0.80 \times 40 = 32$
- F: $0.60 \times 40 = 24$
- G: $0.70 \times 40 = 28$
- Sum of Marks Obtained = $32 + 28 + 28 + 24 + 32 + 24 + 28 = 196$.
- Total Maximum Marks in IT for 7 students = $7 \times 40 = 280$.
- Overall Percentage in IT = $ \frac{196}{280} \times 100 $
$= 70\%$
The overall percentage is exactly 70%.
Final Result
The overall percentages for the subjects English, Philosophy, and IT are approximately 72.85%, 67.85%, and 70% respectively.
Important Questions from Mixed Data Interpretation
Consider the following data:
What is the value of x in the above table?
Seeta and Geeta go for a swim after a gap of every 2 days and every 3 days respectively. If on 1st January both of them went for a swim together, when will they go together next?
X, Y and Z are three contestants in a race of 1000 m. Assume that all run with different uniform speeds. X gives Y a start of 40 m and X gives Z a start of 64 m. If Y and Z were to compete in a race of 1000 m, how many metres start will Y give to Z?
If x is greater than or equal to 25 and y is less than or equal to 40, then which one of the following is always correct?
Ena was born 4 years after her parents' marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena's father get married
