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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

The marks scored by student B and student C together in subjects S1 is approximately _________% more than the marks scored by student A, student D and student E together in the same subject.

The correct answer is
8.77

Subject S1 Marks Analysis

The question requires comparing the combined marks of specific students in subject S1.

  • Marks of Student B in S1 = 120
  • Marks of Student C in S1 = 128
  • Marks of Student A in S1 = 80
  • Marks of Student D in S1 = 84
  • Marks of Student E in S1 = 64

Combined Marks Calculation

First, calculate the total marks scored by students B and C together in subject S1:

$Marks_{B+C} = Marks_B + Marks_C = 120 + 128 = 248$

Next, calculate the total marks scored by students A, D, and E together in subject S1:

$Marks_{A+D+E} = Marks_A + Marks_D + Marks_E = 80 + 84 + 64 = 228$

Percentage Increase Calculation

To find how much more the marks of B and C combined are than A, D, and E combined, calculate the difference:

$Difference = Marks_{B+C} - Marks_{A+D+E} = 248 - 228 = 20$

Now, calculate the percentage increase relative to the marks of A, D, and E combined:

$Percentage Increase = \(\frac{\text{Difference}}{Marks_{A+D+E}} \times 100\)$

$Percentage Increase = \(\frac{20}{228} \times 100\)$

$Percentage Increase \(\approx 0.087719 \times 100\)$

$Percentage Increase \(\approx 8.77\%$

Conclusion

The marks scored by student B and student C together in subject S1 are approximately 8.77% more than the marks scored by student A, student D, and student E together in the same subject.

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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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