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In a classroom, the teacher wants to arrange students in rows such that each row

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Question: In a classroom, the teacher wants to arrange students in rows such that each row has the same number of students. If there are 24 students, which of the following arrangements is NOT possible?

Options:

  1. 6 rows of 4 students
  2. 8 rows of 3 students
  3. 12 rows of 2 students
  4. 5 rows of 5 students

Correct Answer: 5 rows of 5 students

Solution: 

5 rows of 5 students would require 25 students, which is not possible with only 24 students.

In a classroom, the teacher wants to arrange students in rows such that each row

Practice Questions

Q1
In a classroom, the teacher wants to arrange students in rows such that each row has the same number of students. If there are 24 students, which of the following arrangements is NOT possible?
  1. 6 rows of 4 students
  2. 8 rows of 3 students
  3. 12 rows of 2 students
  4. 5 rows of 5 students

Questions & Step-by-Step Solutions

In a classroom, the teacher wants to arrange students in rows such that each row has the same number of students. If there are 24 students, which of the following arrangements is NOT possible?
  • Step 1: Understand that the teacher wants to arrange 24 students in rows with the same number of students in each row.
  • Step 2: Identify the total number of students, which is 24.
  • Step 3: Consider different ways to arrange the students in rows. Each arrangement must have the same number of students in each row.
  • Step 4: Calculate how many students would be needed for different arrangements. For example, if there are 5 rows with 5 students each, that would be 5 x 5 = 25 students.
  • Step 5: Compare the number of students needed for each arrangement to the total number of students (24).
  • Step 6: Determine which arrangement requires more students than available. In this case, 5 rows of 5 students requires 25 students, which is more than 24.
  • Step 7: Conclude that 5 rows of 5 students is NOT a possible arrangement.
  • Divisibility and Factors – Understanding how to divide a total number of items (students) into equal groups (rows) and identifying possible arrangements based on factors of that number.
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