**Quote:**

The average of a set of six positive numbers is 30.

Step 1: Understanding the questionWhen average of six numbers is 30, the sum of the number is 180

**Quote:**

Quantity A

The average of the numbers in the set after replacing the smallest number in the set with 0

Step 2: Understanding quantity A Let smallest positive number be x

Hence, sum of numbers after replacing x in the set with 0 is (180-x)

Average = (180-x)/6

**Quote:**

Quantity B

The average of the remaining numbers in the set after removing the smallest number from the set

Step 3: Understanding quantity Bum of numbers after removing the smallest number from the set is (180-x)

Average = (180-x)/5

Step 4: Comparing Quantity A Quantity B(180-x)/6 ------- (180-x)/5

As (180-x) is positive, hence

1/6 ------- 1/5

Quantity B is greater

B is correct

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