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
Select the correct mirror image of the given combination when the mirror is placed at MN as shown below.
Choose the alternative which closely resembles the mirror image of the given combination.
Select the correct mirror image of the given combination when the mirror is placed at MN as shown below.
Select the correct mirror image of the given figure when the mirror is placed at AB as shown below.
Six letters N, P, R, S, T and U are written on different faces of a dice. Two positions of this dice are shown in the figure. Which is the letter on the face opposite to the face containing U?
