Classroom Division Puzzle: Calculating Total Students from Even Groups

Question

A teacher divides the students in her class into even discussion groups,

How many students are in the class?

Video Solution

Step-by-Step Solution

Let's solve this problem step by step.

  • Step 1: As defined by the problem, the total number of students in the class needs to be an even number.
  • Step 2: According to simple divisibility rules, an even number ends in 0, 2, 4, 6, or 8. We apply this rule to the answer choices.
  • Step 3: The answer choices are:
    • 41, which is odd.
    • 31, which is odd.
    • 21, which is odd.
    • 22, which ends in 2 and is even.
  • Conclusion: The only even number among the choices is 22.

Therefore, the correct answer is 22 22 .

Answer

22