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The following table shows the percentage (%) of colleges offering the four IT courses on Python, Java,…

State B has 600 colleges, of which \(0.92\times600 = 552\) offer Java, and State C has 800 colleges, of which \(0.86\times800 = 688\) offer AI. The required percentage is…

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The following table shows the percentage (%) of colleges offering the four IT courses on Python, Java, Multimedia and AI in four Indian States A-D, in a certain year. The table also presents the percentage-wise distribution of the number of Colleges in the four states. The total number of Colleges in the four states is 4000. Based on the data in the table, answer the question. Number of Colleges offering Java in State B is ____% of the number of Colleges offering AI in State C.

State% of Colleges offering% Distribution of Number of Colleges
PythonJavaMultimediaAI
A86%74%59%56%35%
B80%92%82%84%15%
C74%88%84%86%20%
D68%64%68%70%30%
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Answer and explanation

Correct answer B

State B has 600 colleges, of which 0.92×600=5520.92\times600 = 552 offer Java, and State C has 800 colleges, of which 0.86×800=6880.86\times800 = 688 offer AI. The required percentage is 552688×100≈80.23%\frac{552}{688}\times100 \approx 80.23\%. The figure must be worked out from the numbers of colleges, not from the percentages 92 and 86.

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