1.

1). if the data given in statement I alone is sufficient to answer the question whereas the data given in statement II alone is not sufficient to answer the question.2). if the data given in statement II alone is sufficient to answer the questions whereas the data given in statement I alone is not sufficient to answer the question.3). if the data in either statement I alone or in statement II alone is sufficient to answer the question.4). if the data in both the statements I and II is not sufficient to answer the question.

Answer»

Statement I just tells US about the average age of the class but as no. of students is missing it is not useful.

Statement II gives the information about the average age of boys and girls, which is not sufficient to find the ratio, as NUMBER of boys and girls cannot be determined from this.

On COMBINING both the statements,

Let the required ratio be k ? 1 = B ? G

⇒ 15.8 = [k(16.4) + (15.4)) / (k + 1)]

⇒ 15.8k + 15.8 = 16.4k + 15.4

⇒ 0.6k = 0.4

⇒ K = 4/6 = 2/3

∴ Required Ratio = 2 ? 3

∴ Data given in both the statement I and II are necessary to ANSWER the question


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