Multiple choice general knowledge math & puzzles

36 identical chairs must be arranged in rows with the same number of chairs in each row. Each row must contain at least 3 chairs and there must be at least 3 rows. A row is parallel to the front of the room. How many different arrangements are possible ?

  1. 2

  2. 4

  3. 5

  4. 6

Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

We need factors of 36 where both the factor and its quotient are >= 3. The pairs (rows, chairs) are: (3,12), (4,9), (6,6), (9,4), and (12,3). There are 5 such arrangements.