GATE CE 2024 Set 2 — Question 5
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General Aptitude → Quantitative Aptitude → Ratios, Percentages, Powers, Exponents & Logarithms
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Question
The ratio of the number of girls to boys in class VIII is the same as the ratio of the number of boys to girls in class IX. The total number of students (boys and girls) in classes VIII and IX is 450 and 360, respectively. If the number of girls in classes VIII and IX is the same, then the number of girls in each class is
Correct answer
(B) 200
Solution
Let and be the number of girls and boys in class VIII, and and be the number of girls and boys in class IX.
Given:
The number of girls in each class is 200. Correct option is (B).
Given:
1.
2.
3.
4. (let the common number of girls be )
Substituting these into the ratio equation:The number of girls in each class is 200. Correct option is (B).
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