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A certain pizzeria has more than fifty types of pizzas on its menu. The chart shows the revenue share, in the pizzeria’s total revenue in the last month, of its four most popular pizza types. Each pizza type has only a single size and a single price.
Which was their best‑selling pizza last month in terms of number of pizzas sold?
(1) The number of customers who ordered at least one Pep‑Peroni pizza last month was greater than the number of customers who ordered at least one of any other pizza type last month.
(2) The lowest‑priced pizza type on the pizzeria’s menu is Tomato Blast, followed by VegCheese.
Let S be the set of all positive integers having at most 4 digits and such that each of the digits is 0 or 1. What is the greatest prime factor of the sum of all the numbers in S ?
In the country of Malan, companies caught dumping industrial waste illegally on public property will soon face fines. Fines at a fixed amount per violation have been proposed. Critics object that such fixed fines would encourage companies that violate to make sure each violation pays, which they would do by dumping so much waste that the savings, relative to the costs of legal disposal, exceed the fine.
The critics' objection assumes which of the following?
What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?
If x is a non-negative integer and |6 - |x + 2|| = 10, then find the number of values of x that satisfy the given absolute value inequality?