Velma has exactly one week to learn all 71 Japanese hiragana characters. If she can learn at most a dozen of them on any one day and will only have time to learn four of them on Friday, what is the least number of hiragana characters that Velma will have to learn on Saturday?
Huey’s Hip Pizza sells two sizes of square pizzas: a small pizza that measures 10 inches on a side and costs $10, and a large pizza that measures 15 inches on a side and costs $20. If two friends go to Huey’s with $30 apiece, how many more square inches of pizza can they buy if they pool their money than if they each purchase pizza alone?
An eccentric casino owner decides that his casino should only use chips in $5 and $7 denominations. Which of the following amounts cannot be paid out using these chips?
A “Collector’s Coin Set” contains a one-dollar coin, a fifty-cent coin, a quarter (= 25 cents), a dime (= 10 cents), a nickel (= 5 cents), and a penny (= 1 cent). The Coin Sets are sold for the combined face price of the currency. If Colin buys as many Coin Sets as he can with the $25 he has, how much change will Colin have left over?
A rock band is holding a concert and selling tickets. All of the tickets will either be premium seating OR allow backstage access after the event. They will sell 1,200 premium seating tickets and 500 that will allow backstage access. If 150 of the tickets will both be premium seating and allow backstage access, how many total tickets will they sell?
Susan is writing a novel that will be 950-pages long when finished. She can write 10 pages per day on weekdays and 20 pages per day on weekends.
| Quantity A | Quantity B |
| The least number of consecutive days it will take Susan to finish her novel |
75 |
Jared has four pennies (1 cent), one nickel (5 cents) and one dime (10 cents).
| Quantity A | Quantity B |
| The number of different cent values that Jared can achieve using one or more of his coins |
20 |
A ribbon 40-inches long is to be cut into three pieces, each of whose lengths is a different integer number of inches.
| Quantity A | Quantity B |
| The least possible length, in inches, of the longest piece |
15 |
A farmer sells vegetables to 180 different customers. Of these, 90 of them purchase zucchini and 115 of them purchase cauliflower.
| Quantity A | Quantity B |
| The number of customers who purchased both zucchini and cauliflower |
The number of customers that purchased neither zucchini nor cauliflower |