Instructions

Each of the questions below consists of a question and two
statements numbered 1 and II 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—

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.
b: if the data in statement II alone are sufficient to answer the question. while the dam in statement I alone are 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 the statements 1 and 11 together are not sufficient to answer the question, and
e: if the data in both the statements I and II together are necessary to answer the question.

Question 172

# 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. When the students are divided into groups, each group contains five students.

Solution

I : No. of students can be = 21,22,23,24,25,26

Thus, I alone is not sufficient.

II : No. of students is multiple of 5 and is between 24 and 31

=> No. of students = 25,30

Thus, II alone is not sufficient.

I & II : From above two conclusions, only common number is 25

=> No. of students = 25

Thus, I & II together are sufficient.