Find the greatest number of students in a room to accommodate 135, 180, and 225 students completely?

None of these

Explanation

To find the greatest number of students that can accommodate 135, 180, and 225 completely, we need to find the Highest Common Factor (HCF) of these numbers.

Step 1: Prime Factorization

135 = 3³ × 5

180 = 2² × 3² × 5

225 = 3² × 5²

Step 2: Identify Common Factors

Common factors = 3² × 5 = 9 × 5 = 45