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$$3 \lt x^{2}$$ \lt 27$$ $$6 \lt y^{2} lt 69$$ Quantity A The least possible value of the product xy, where x and y are integers satisfying the inequalities Quantity B -40
Let n be an integer greater than 30. When n is divided by 12, the remainder is 11. What is the remainder when (6n+1) is divided by 9?
N= $$32^{19}$$ - 32 What is the units digit of N?
When 2($$10^{100}$$)+1 is divided by 3, the remainder is r. Quantity A r Quantity B 1
y=105n (n is a positive integer) y is both the square of an integer, and a multiple of 30 What is the least possible value of n?
$$k \gt m$$ Quantity A \|$$m$$\| - \|-$$k$$\| Quantity B \|$$k$$\| - \|-$$m$$\|
In a certain university, 60 percent of all sophomores are liberal arts majors, 24 percent are education majors, and the rest are majoring in other subjects or have not yet chosen a major. At the university, 55 percent of all sophomores are currently taking a psychology course. If x percent of all sophomores are liberal arts majors who are currently taking a psychology course, what is the least possible value of x?
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product? _____hours
A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate? _____hours
r > s List L consists of r values, and the average (arithmetic mean) of the values in L is 52.8. List M consists of s values, and the average of the values in M is 54.2. List K consists of the values in L and the values in M. Quantity A The average of the values in K Quantity B 53.5
At the beginning of a certain year, Jane opened a new savings account and a new money market account and deposited a total of $10,000 into the two accounts. The savings account and the money market account earned simple annual interest at the rates of 2 percent and 5 percent, respectively. There were no other transactions in the accounts. If the total amount of interest earned by the two accounts for the first 2 years after they were opened was $475, what was the amount that Jane deposited into the money market account? $_____
A total of $48,000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent. If the investment earned $240 in interest for the month, what is the value of r?
x((75+y)+(15-y))=900 Quantity A xy Quantity B 10
y+5 > x Quantity A y+2 Quantity B x-2
x≠0 y≠0 x+y≠0 Quantity A $$x^{-3}$$+$$y^{-3}$$ Quantity B $$(x+y)^{-3}$$
($$2.8210^{-51}$$) - ($$3.9610^{-49}$$)=
Which of the following values is the largest?
Which of the following is equal to $$\frac{1}{\frac{\sqrt{2}+1}{\sqrt{2}-1}}$$?
A customer purchased n items at Store F. If 5 of the n items cost $7 each and the remaining items cost $9 each, then in terms of n, what was the total cost, in dollars, of the items purchased by the customer at Store F?
The equation $$x^{3}$$ - $$x^{2}$$-2x=0 has three different roots. Quantity A The product of the three roots Quantity B -2

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