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If the set consists of six consecutive positive integers, then what is the sum of these six integers?
(1) The sum of the even integers is 42.
(2) The integer 17 is in , but 18 is not in .
The price of a pair of earrings is percent more than the price of a bracelet, and the price of a necklace is percent less than the price of the earrings. Is the price of the bracelet less than the price of the necklace?
(1)
(2)
The profit earned by a company in year 2 was percent more than the profit earned in year 1, and the profit earned in year 3 was percent less than the profit earned in year 2. Was the profit earned in year 1 less than the profit earned in year 3?
Toby collected percent more cans for recycling than Grace, and Haru collected percent less cans for recycling than Toby. Was the number of cans collected by Grace less than the number of cans collected by Haru?
In the coordinate plane, point lies on a circle with center at the origin. What is the value of ?
(1) The circle has radius .
(2) The point lies on the circle.
If and represent the length and width, respectively, of a rectangle, then what is the perimeter?
The function is defined for each positive three-digit integer by where and are the hundreds, tens, and units digits of respectively. If and are three-digit positive integers such that , then what is the value of ?
A certain company buys products and sells percent of them for dollars each and the rest for dollars each. Which of the following represents the total revenue on the sale of the products?
Kassi works hours a day for days and earns dollars per hour. If she puts percent of her earnings into savings, which of the following represents Kassi's earnings after savings?
The owner of a store bought books for dollars each. She gave away books as part of a promotion and sold the rest for dollars each. Which of the following represents the profit that the store owner received on the sale of the books?
If is written as an integer in base 10 notation, what is the sum of the digits in that integer?
If is a positive integer and is divisible by 75, then the largest positive integer that must divide is
A nut mixture selling for $8 per pound is made by mixing cashews costing $5 per pound and walnuts costing $9 per pound. What percent of the nut mixture is walnuts?
A 50% alcohol solution is made by mixing together a 30% alcohol solution with a 60% alcohol solution. What percent of the 50% alcohol solution is made from the 30% alcohol solution?