Each of the questions below consists of a question and two statements numbered I and II are given below it. You have to decide whether the data provided in the statements are sufficient to answer the question. Read both the statements and
Give answer a: if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
Give answer b: if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
Give answer c: if the data in Statement I alone or in Statement II alone are sufficient to answer the question.
Give answer d: if the data in both the Statements I and II together are not sufficient to answer the question.
Give answer e: if the data in both the Statements I and II together are necessary to answer the question.
What is the total number of girls in the classroom?
(I) The respective ratio of number of boys and number of girls in the classroom is 9 : 7.
(II) The average weight of girls in the classroom is 4 kg less than the average weight of boys in the classroom. The average weight of all the students (both boys and girls) in the classroom is 44.25 kg.
Statement I : Let number of boys = $$9x$$ and number of girls = $$7x$$
Statement II : Let average weight of boys = $$y$$ kg
=> Average weight of girls = $$(y - 4)$$ kg
Clearly, either statement alone is not sufficient.
Combining both statements, => Total weight of boys = $$9xy$$
Total weight of girls = $$7x (y - 4) = 7xy - 28x$$ kg
Total wight of class = $$44.25 \times 16x = 708x$$ kg
$$\therefore 9xy + 7xy - 28x = 708x$$
=> $$16y = 708 + 28 = 736$$
=> $$y = \frac{736}{16} = 46$$
We cannot find the value of $$x$$
Thus, even both statements together are not sufficient to answer the question.
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