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In a class 60% of the students are boys and rest are girls. If 35% of the number of boys and 60% of the number of girls get scholarship and the number of girls who do not get scholarship is 32, then the number of boys who do not get scholarship is:
1. 78
2. 60
3. 84
4. 42

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Correct Answer - Option 1 : 78

Let the number of students in the class be x

Number of Boys in class = 0.6x

Number of Boys that get scholarship = 0.35 × 0.6x = 0.21x

Number of Girls in class = 0.4x

Number of Girls that get scholarship = 0.4x × 0.6 = 0.24x

According to Question

0.4x = 0.24x + 32

0.16x = 32

x = 200

Number of Boys that did not get scholarship = 0.6x - 0.21x = 0.39x

Number of Boys that did not get scholarship = 78

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