Question

How many students are there in the class?

I. There are more than 20 but less than 27 students in the class.

II. There are more than 24 but less than 31 students in the class. The number of students in the class can be divided into groups such that each group contains 5 students.

• A. If the data in statement I alone is sufficient to answer the question, while the data in statement II alone is not sufficient to answer the question
• B. 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
• C. If the data either in statement I alone or in statement II alone are sufficient to answer the question
• D. If the data given in both statements I and II together are not sufficient to answer the question
• E. If the data in both statements I and II together are necessary to answer the question.

Answer 1

The correct option is E

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

From Statement I,

Number of students in class = 21 or 22 or 23 or 24 or 25 or 26

From Statement II,

Number of students in class = 25 or 26 or 27 or 28 or 29 or 30

Since, number of students can be divided into groups of 5 students, therefore number of students must be a multiple of 5.

Number of students in the class = 25 or 30

On combining Statements I and II,

Number of students in the class = 25

Hence, the data in both the Statements I and II together are necessary to answer the question.