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Question

The following table shows the marks obtained by six students A-F in six different subjects S1 to S6 having 160, 160, 120, 120, 200 and 240 as maximum marks, respectively. Based on the data in the table, answer the questions that follow: 

                                                                        Students-wise Details of Marks obtained

                                                Marks obtained in subject
StudentS1 (Out of 160)S2 (Out of 160)S3 (Out of 120)S4 (Out of 120)S5 (Out of 200)S6 (Out of 240)
A80846656154150
B1201008476136132
C128726470144160
D841309684104168
E64128909217470
F70966056164100

What is the overall respective percentages of marks scored by student A and student B, in all the subjects together?

The correct answer is
59% and 64.8%

Solution: Calculating Overall Marks Percentage for Students

To find the overall percentage of marks scored by students A and B in all subjects, we first need to calculate the total marks obtained by each student and the total maximum marks across all subjects. The maximum marks for subjects S1 to S6 are 160, 160, 120, 120, 200, and 240, respectively.

Total Maximum Marks Calculation

The total maximum marks for all six subjects is the sum of the maximum marks for each subject:

Total Max Marks = $160 + 160 + 120 + 120 + 200 + 240 = 1000$ marks.

Student A: Marks and Percentage

Student A's marks in the six subjects are 80, 84, 66, 56, 154, and 150.

Total Marks obtained by Student A = $80 + 84 + 66 + 56 + 154 + 150 = 590$ marks.

Overall Percentage for Student A = $ \frac{\text{Total Marks Obtained by A}}{\text{Total Maximum Marks}} \times 100 $

Percentage A = $ \frac{590}{1000} \times 100 = 0.59 \times 100 = 59\% $

Student B: Marks and Percentage

Student B's marks in the six subjects are 120, 100, 84, 76, 136, and 132.

Total Marks obtained by Student B = $120 + 100 + 84 + 76 + 136 + 132 = 648$ marks.

Overall Percentage for Student B = $ \frac{\text{Total Marks Obtained by B}}{\text{Total Maximum Marks}} \times 100 $

Percentage B = $ \frac{648}{1000} \times 100 = 0.648 \times 100 = 64.8\% $

Conclusion

The overall respective percentages of marks scored by student A and student B are 59% and 64.8%.

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Important Questions from Reading Comprehension

  1. Why, according to the writer can't people be motivated to use a resource prudently?

    1. They feel that others may overuse the resource

    2. It is possible to substitute the resource

    3. Abundance of the resource availability

    Select the correct answer using the code given below:

  2. When do people use resources exhaustively?

  3. The self-interest of people affects the use of renewable resources

  4. People rooted in a locality

  5. Which among the following is closest in meaning with the word 'deplete'?

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