At a restaurant, five friends each purchased a sandwich.

[BTGmoderatorDC]

At a restaurant, five friends each purchased a sandwich. Did the sum of the five sandwiches exceed $70?

(1) The price of the least expensive sandwich exceeded $13.

(2) The price of the most expensive sandwich exceeded $18.

OA C

Source: Veritas Prep

[Ian Stewart]

Presumably they mean to ask about the sum of the prices of the sandwiches, and not about the sum of the sandwiches themselves.

If Statement 1 is true, all we can say is that the sum of the prices exceeded 5*13 = $65, so that's not sufficient.

If Statement 2 is true, all we can say is that the sum of the prices exceeded $18, since the other four sandwiches might have been free, so that's not sufficient.

If both Statements are true, we know four of the sandwiches cost more than $13, and one of them cost more than $18, so the total price was more than 4*13 + 18 = $70, which is what we wanted to know, so the answer is C.