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A school has four sections A, B, C, D of Class IX students. Results of half yearly and annual examinations are shown in the below table.(1 Marks)RESULTSection ASection BSection CSection DStudents failed in both exams28231727Students failed in half yearly but passed in annual exams1412813Students passed in half yearly but failed in annual exams617915Students passed in both exams64554676Which section has the maximum pass percentage in at least one of the two examinations?

Question

A school has four sections A, B, C, D of Class IX students. Results of half yearly and annual examinations are shown in the below table.(1 Marks)RESULTSection ASection BSection CSection DStudents failed in both exams28231727Students failed in half yearly but passed in annual exams1412813Students passed in half yearly but failed in annual exams617915Students passed in both exams64554676Which section has the maximum pass percentage in at least one of the two examinations?

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Solution 1

To find out which section has the maximum pass percentage in at least one of the two examinations, we need to calculate the total number of students in each section and the number of students who passed in at least one of the two exams.

  1. Calculate the total number of students in each section:

Section A: 28 (failed in both) + 14 (failed in half yearly, passed in annual) + 6 (passed in half yearly, failed in annual) + 64 (passed in both) = 112 students

Section B: 23 (failed in both) + 12 (failed in half yearly, passed in annual) + 7 (passed in half yearly, failed in annual) + 55 (passed in both) = 97 students

Section C: 17 (failed in both) + 8 (failed in half yearly, passed in annual) + 19 (passed in half yearly, failed in annual) + 46 (passed in both) = 90 students

Section D: 27 (failed in both) + 13 (failed in half yearly, passed in annual) + 15 (passed in half yearly, failed in annual) + 76 (passed in both) = 131 students

  1. Calculate the number of students who passed in at least one of the two exams:

Section A: 14 (failed in half yearly, passed in annual) + 6 (passed in half yearly, failed in annual) + 64 (passed in both) = 84 students

Section B: 12 (failed in half yearly, passed in annual) + 7 (passed in half yearly, failed in annual) + 55 (passed in both) = 74 students

Section C: 8 (failed in half yearly, passed in annual) + 19 (passed in half yearly, failed in annual) + 46 (passed in both) = 73 students

Section D: 13 (failed in half yearly, passed in annual) + 15 (passed in half yearly, failed in annual) + 76 (passed in both) = 104 students

  1. Calculate the pass percentage for each section:

Section A: (84/112) * 100 = 75% Section B: (74/97) * 100 = 76.29% Section C: (73/90) * 100 = 81.11% Section D: (104/131) * 100 = 79.39%

So, Section C has the maximum pass percentage in at least one of the two examinations.

This problem has been solved

Solution 2

To find out which section has the maximum pass percentage in at least one of the two examinations, we need to calculate the total number of students in each section and the number of students who passed in at least one of the two exams.

  1. Calculate the total number of students in each section:

    Section A: 28 (failed in both) + 14 (failed in half yearly, passed in annual) + 6 (passed in half yearly, failed in annual) + 64 (passed in both) = 112 students

    Section B: 23 (failed in both) + 12 (failed in half yearly, passed in annual) + 7 (passed in half yearly, failed in annual) + 55 (passed in both) = 97 students

    Section C: 17 (failed in both) + 8 (failed in half yearly, passed in annual) + 19 (passed in half yearly, failed in annual) + 46 (passed in both) = 90 students

    Section D: 27 (failed in both) + 13 (failed in half yearly, passed in annual) + 15 (passed in half yearly, failed in annual) + 76 (passed in both) = 131 students

  2. Calculate the number of students who passed in at least one of the two exams:

    Section A: 14 (failed in half yearly, passed in annual) + 6 (passed in half yearly, failed in annual) + 64 (passed in both) = 84 students

    Section B: 12 (failed in half yearly, passed in annual) + 7 (passed in half yearly, failed in annual) + 55 (passed in both) = 74 students

    Section C: 8 (failed in half yearly, passed in annual) + 19 (passed in half yearly, failed in annual) + 46 (passed in both) = 73 students

    Section D: 13 (failed in half yearly, passed in annual) + 15 (passed in half yearly, failed in annual) + 76 (passed in both) = 104 students

  3. Calculate the pass percentage for each section:

    Section A: (84/112) * 100 = 75%

    Section B: (74/97) * 100 = 76.29%

    Section C: (73/90) * 100 = 81.11%

    Section D: (104/131) * 100 = 79.39%

So, Section C has the maximum pass percentage in at least one of the two examinations.

This problem has been solved

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