Exams › IBPS PO › Quantitative Aptitude
In Class 8, the total number of students is 60, and 40% of the boys are in the class. In Class 9, the ratio of boys to girls is 7:4, respectively. The total number of students in Class 9 is 40% more than that in Class 8. In Class 10, the total number of girls is 14\(\tfrac{2}{7}\)% more than that in Class 9, and the total number of boys is 16.67% less than that in Class 8. Find the ratio of the total students in Class 10 to the total boys in Classes 8 and 9 together.
- None of these
- 43: 87
- 45: 83
- 42: 89
Correct answer: None of these
Solution
Class 8 has 60 students, so boys = 40% of 60 = 24 and girls = 36. Class 9 has 40% more students than Class 8, so total = 84; with boys:girls = 7:4, boys = 52 and girls = 32. Class 10 girls = 32 increased by 14\(\tfrac{2}{7}\)% = 36, and boys = 24 decreased by 16.67% = 20, so total = 56. Boys in Classes 8 and 9 together = 24 + 52 = 76, giving ratio 56:76 = 14:19, which is not listed.
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