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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.
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?
(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?
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) The point lies on the circle.
(2) The circle has radius .
If is a positive integer and , which of the following could be a value of ?
If is a positive integer and is divisible by 60, then the largest positive integer that must divide is
If is a positive integer and is divisible by 75, then the largest positive integer that must divide is
If is written as an integer in base 10 notation, what is the sum of the digits in that integer?
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?
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 ?
If , which of the following must be true?
I.
II.
III. is positive.
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?
The subsets of the set are:
, , , ,
, , ,
and (the empty subset)
How many subsets of the set contain either or ?
There are 12 vehicles in a parking lot, of which 3 are trucks and 9 are cars. How many possible selections of 4 vehicles from the parking lot contain at least one truck and at least one car?
What is the tenths digit of the decimal ?
(1) The tens digit of is .
(2) The hundredths digit of is .
Which of the following is an integer?
III.