The product of the three consecutive odd numbers is 2145. What is the Square of the middle number?

Correct option is C

Given:

The product of three consecutive odd numbers = 2145

Solution:

Let the three consecutive odd numbers be:

• First number = x - 2
• Middle number = x
• Last number = x + 2

Product = (x - 2) × x × (x + 2)
This simplifies to: x × (x² - 4) = 2145
So, x³ - 4x = 2145

Try x = 13:
13³ = 2197
4 × 13 = 52
So, 2197 - 52 = 2145 → Match found

Middle number = 13
Square of the middle number = 13 × 13 = 169

Final Answer:

(c) 169