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Table Charts - General Aptitude

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 minimum failure rate in half yearly examination?

A A Section

B B Section

C C Section

D D Section

ANS:D - D Section

Total number of failures in half-yearly exams in a section = [ (Number of students failed in both exams)        + (Number of students failed in half-yearly but passed in Annual exams)    ] in that section Therefore Failure rate in half-yearly exams in Section A

    = [ Number of students of Section A failed in half-yearly x 100 ] %
Total number of students in Section A
    = [ (28 + 14) x 100 ] %
(28 + 14 + 6 + 64)
    = [ 42 x 100 ] %
112
    = 37.5%. Similarly, failure rate in half-yearly exams in:
Section B [ (23 + 12) x 100 ] % = [ 35 x 100 ] % = 32.71%.
(23 + 12 + 17 + 55) 107
Section C [ (17 + 8) x 100 ] % = [ 25 x 100 ] % = 31.25%.
(17 + 8 + 9 + 46) 80
Section D [ (27 + 13) x 100 ] % = [ 40 x 100 ] % = 30.53%.
(27 + 13 + 15 + 76) 131
Clearly, the failure rate is minimum for Section D.