GMAT Arithmetic Practice Questions

A retail store uses a 3-digit code for its premium members, where the hundreds digit is 1 less than the units digit, and the tens digit is the average of the other two digits. If the code must be greater than 300, what is the smallest possible code?

A restaurant's lunch revenue comes from dine-in and takeout orders. In January, dine-in accounted for 60% of total revenue, and the average dine-in check was 50% higher than the average takeout check. If the restaurant served 240 dine-in customers in January, how many takeout customers did it serve that month?

At a nail polish drying station, a coat's polish age is the number of minutes since the coat was applied, and a coat is ready at polish age 40. On a minute number line, each coat's gap is |polish age - 40|. Five coats are now at the station, all to the left of 40. Three of the coats have mean gap 14 minutes and the other two have mean gap 12 minutes. After those means are used to get the total gap, the group labels are discarded. The five individual gaps can vary independently, are integers, are each from 4 to 15 minutes inclusive, and have that total. For a coat whose gap now is as small as possible, what will its polish age be 4 minutes from now?

A farmer keeps animal feed in a barn loft. At the start of a humid spell, the feed is stored in 100 sacks that hold 64 kilograms each. At the end of the first week, damp feed equal to 3/8 of the feed in storage is thrown out. At the end of the second week, damp feed equal to 3/8 of the feed then remaining in storage is thrown out. The farmer then repacks all of the remaining feed into new sacks, leaving no feed unpacked, so that the number of new sacks is a whole number equal to the number of kilograms of feed in each new sack. The number of new sacks is what percent of the original number of sacks?

A marina buys a floating extension for one dock slip at a cost of $800. It sets the list price by marking the cost up by 25%, then puts the extension on sale at 40% off the list price. The marina deposits the entire sale price into a slip replacement account that earns 50% per year, compounded annually, for 2 years. At the end of the 2 years, the marina will use the account to buy dock line priced at $9 per foot. The number of feet bought must be a positive integer and a divisor of 6!, and it cannot cost more than the account balance. What is the greatest possible number of feet of dock line the marina can buy?

At a grocery store, 12 checkout lines are open. The store displays the average number of customers per open line, rounded to the nearest tenth. When an average is exactly halfway between two tenths, the store rounds up. The display reads 4.3.

Two additional, empty lines open, and customers redistribute among the 14 lines. No customer joins or leaves during this change. The display then reads 3.7.

Later, six lines close and their customers move to the remaining lines. Between the second and final readings, exactly three customers leave and some customers join. The final display reads 7.0. Each customer is a distinct person and is counted in exactly one line. How many customers joined between the second and final readings?

In a laboratory experiment, three consecutive integer measurements are taken. The average of these measurements is 24. What is the largest of the three integer measurements?

Three restaurants near a group of theaters have confirmed reservations covering the same total number of diners at each restaurant. Each restaurant accepts reservations for exactly one party size, and the three restaurants' party sizes are three consecutive integers, each at least 3. Every reservation covers exactly the number of diners specified by that restaurant's party size.

There are at least 150 reservations altogether at the three restaurants. Reservation counts are positive integers, and there are no additional capacity restrictions. What is the least possible total number of reservations?

An airline's international routes had a combined net profit of $60 million last year. Exactly two of the routes each had a loss of $5 million. Every other route had a positive profit that, measured in millions of dollars, was a whole number, and no two profitable routes had the same profit. The largest positive route profit was three times the smallest positive route profit. What is the greatest possible total number of international routes the airline operated last year, including the two routes that had losses?