Question

# What is the total number of students in the school? I. The respective ratio of girls and boys is 2 : 3. II. The number of students has grown by 5% this year as compared to 4% last year from the number 2000 which it was year before last.

A

If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question

B

If the data either in statement I alone or in statement II alone are sufficient to answer the question

C

If the data given in both statements I and II together are not sufficient to answer the question

D

If the data in both statements I and II together are necessary to answer the question.

Solution

## The correct option is A If the data in statement II alone is sufficient to answer the question, while the data in statement I alone is not sufficient to answer the question Statement I is insufficient as total number of either boys or girls is missing. From Statement II, initial number was 2000, then percentage increase is 4% and 5% per year consecutively. Numberofstudents=2000(1+4100)(1+5100)=2000×2625×2120=2184 Hence, Statement II alone is sufficient. So, Statement II alone is sufficient to answer the question. Logical Reasoning

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