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Question

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 
A805080607080
B908070408070
C806070708070
D706580806060
E706580755080
F607560804060
G603550707070

Find the overall percentage of A and G.

The correct answer is
69.16 and 55.91

To find the overall percentage for students A and G, we need to calculate the total marks obtained by each student across all subjects and divide it by the total maximum marks possible for all subjects, then multiply by 100.

Student A Overall Percentage Calculation

First, calculate the actual marks obtained by Student A in each subject:

  • English: \( 0.80 \times 150 = 120 \)
  • Economics: \( 0.50 \times 130 = 65 \)
  • Sociology: \( 0.80 \times 120 = 96 \)
  • Philosophy: \( 0.60 \times 100 = 60 \)
  • Psychology: \( 0.70 \times 60 = 42 \)
  • IT: \( 0.80 \times 40 = 32 \)

Total marks obtained by Student A = \( 120 + 65 + 96 + 60 + 42 + 32 = 415 \)

Total maximum marks = \( 150 + 130 + 120 + 100 + 60 + 40 = 600 \)

Overall percentage for Student A = \( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100 \)

Overall percentage for Student A = \( \frac{415}{600} \times 100 \approx 69.17\% \)

Student G Overall Percentage Calculation

Next, calculate the actual marks obtained by Student G in each subject:

  • English: \( 0.60 \times 150 = 90 \)
  • Economics: \( 0.35 \times 130 = 45.5 \)
  • Sociology: \( 0.50 \times 120 = 60 \)
  • Philosophy: \( 0.70 \times 100 = 70 \)
  • Psychology: \( 0.70 \times 60 = 42 \)
  • IT: \( 0.70 \times 40 = 28 \)

Total marks obtained by Student G = \( 90 + 45.5 + 60 + 70 + 42 + 28 = 335.5 \)

Total maximum marks (same for all students) = \( 600 \)

Overall percentage for Student G = \( \frac{\text{Total Marks Obtained}}{\text{Total Maximum Marks}} \times 100 \)

Overall percentage for Student G = \( \frac{335.5}{600} \times 100 \approx 55.92\% \)

Therefore, the overall percentages are approximately 69.17% for Student A and 55.92% for Student G.

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Important Questions from Mixed Data Interpretation

  1. Consider the following data: 

     

    What is the value of x in the above table?

  2. 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?

  3. 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?

  4. 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?

  5. 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

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