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Table Charts

A school has four sections A, B, C, D of Class IX students.

The results of half yearly and annual examinations are shown in the table given below.

Result No. of Students
Section A Section B Section C Section D
Students failed in both Exams28231727
Students failed in half-yearly
but passed in Annual Exams		1412813
Students passed in half-yearly
but failed in Annual Exams		617915
Students passed in both Exams64554676

Q1: Which section has the maximum success rate in annual examination?

A A Section

B B Section

C C Section

D D Section

ANS:A - A Section

Total number of students passed in annual exams in a section = [ (No. of students failed in half-yearly but passed in annual exams)        + (No. of students passed in both exams)    ] in that section Therefore Success rate in annual exams in Section A

    = [ No. of students of Section A passed in annual exams x 100 ] %
Total number of students in Section A
    = [ (14 + 64) x 100 ] %
(28 + 14 + 6 + 64)
    = [ 78 x 100 ] %
112
    = 69.64%. Similarly, success rate in annual exams in:
Section B [ (12 + 55) x 100 ] % = [ 67 x 100 ] % = 62.62%.
(23 + 12 + 17 + 55) 107
Section C [ (8 + 46) x 100 ] % = [ 54 x 100 ] % = 67.5%.
(17 + 8 + 9 + 46) 80
Section D [ (13 + 76) x 100 ] % = [ 89 x 100 ] % = 67.94%.
(27 + 13 + 15 + 76) 131
Clearly, the success rate in annual examination is maximum for Section A.



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