Integer Quantity Comparison

Hard Arithmetic Integers

Let p be an integer such that p is a multiple of 3 and less than 30.

Define the following:

Quantity A: The sum of all positive integers less than p.

Quantity B: The product of the digits in p.

What is the relationship between Quantity A and Quantity B?

Quantity A is greater than Quantity B.

Quantity A is less than Quantity B.

Quantity A is equal to Quantity B.

The relationship cannot be determined from the information given.

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