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The following table shows the percentage of students (Boys and Girls) who have successfully completed…

Boys passing are \(150 \times (0.8+0.8+0.4+0.9+0.7+0.7)\) \(= 150 \times 4.3\) \(= 645\). Girls passing are \(120 \times (0.6+0.7+0.6+0.6+0.8+0.6)\) \(= 120 \times 3.9\) \(=…

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The following table shows the percentage of students (Boys and Girls) who have successfully completed their respective academic programmes, namely, B.A., B.Sc., B.Com., B.B.A., B.C.A. and B.Tech. in a college. Based on the data in the table, answer the question.
Programme-wise Percentage of Successful Students. If the total number of boys and girls in each programme is 150 and 120, respectively, then what is the approximate overall pass percentage of the college?

ProgrammeBoysGirls
B.A.80%60%
B.Sc.80%70%
B.Com.40%60%
B.B.A.90%60%
B.C.A.70%80%
B.Tech.70%60%
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Answer and explanation

Correct answer B

Boys passing are 150×(0.8+0.8+0.4+0.9+0.7+0.7)150 \times (0.8+0.8+0.4+0.9+0.7+0.7) =150×4.3= 150 \times 4.3 =645= 645. Girls passing are 120×(0.6+0.7+0.6+0.6+0.8+0.6)120 \times (0.6+0.7+0.6+0.6+0.8+0.6) =120×3.9= 120 \times 3.9 =468= 468. The overall pass rate is 11131620×100≈69\frac{1113}{1620} \times 100 \approx 69 percent.

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