Ian has three pets: Barnum the cat, Bailey the cat, and Daisy the dog, each of whom is older than \(1.\) If the product

[VJesus12]

Ian has three pets: Barnum the cat, Bailey the cat, and Daisy the dog, each of whom is older than \(1.\) If the product of their ages is \(x,\) and the product of \(x\) and \(361\) is \(361,361,\) how old is Ian's dog Daisy?

(1) Daisy is not yet \(10\) years old.

(2) The sum of the digits of Barnum's age is even.

Answer: A

Source: Veritas Prep