|
OG15 OG16
|
If 90 students auditioned for the school musical, how many were accepted?(1) 2/3 of the boys and 1/3 of the girls who auditioned were accepted.(2) 26 of the boys who auditioned were accepted.
|
|
|
一个企业给所有员工发工资,问中位数是否大于平均数?(1) Median is $$\frac{1}{10}$$of total wage(2) 9个员工
|
|
Manhattan
|
Is $$x > 0$$?(1) $$x^2 < 9$$(2) $$x^3 < -8 $$
|
|
Manhattan
|
Is $$ x > 0$$?(1)$$ x^2 > 0$$(2) $$x + 2 > 0$$
|
|
Manhattan
|
What is the value of x?(1) $$x^2 + 5x + 6 = 20$$(2) $$x \lt 0$$
|
|
Manhattan
|
What is the value of x?(1)$$\sqrt{4x} = 6$$(2)$$ x^2 = 81$$
|
|
Manhattan
|
Square ABCD pictured to the right has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?(1) The diagonal of the resulting rectangle measures 5 inches.(2) The resulting rectangle can be cut into three rectangles of equal size.
|
|
Manhattan
|
Is $$\frac n{14}$$ an integer?(1) n is divisible by 28.(2) n is divisible by 70.
|
|
Manhattan
|
Is $$xy \gt 0$$?(1) $$x^2 \gt 0$$(2) $$xy^2 \gt 0$$
|
|
Manhattan
|
Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?(1) Jim has $$\frac{1}{5}$$ of the number of golf balls that Wendy and Pedro have combined.(2) Pedro and Wendy collectively have $$\frac{5}{6}$$ of the golf balls.
|
|
Manhattan
|
If $$abcd \neq 0$$, is $$ab^2c^3d^4 < 0$$?(1) $$ab^2c^3 < 0$$(2) $$b^2c^3d^4 < 0$$
|
|
Manhattan
|
If 3x + 2z = 34, what is the value of z?(1) $$x^{3} = 64$$(2) 5x = z + 9
|
|
Manhattan
|
If $$a^2$$ is not equal to $$b^2$$, what is the value of $$\frac{a-b}{a^2-b^2}$$?(1) a + b = 8(2) a – b = 6
|
|
Manhattan
|
In the figure to the right is b > a? (Note: Figure not drawn to scale.)(1) a = 35(2) a < 60
|
|
|
Is the hundredths digit of the decimal d greater than 5?(1) The tenths digit of 10d is 7.(2) The thousandths digit of 10 d is 7.
|
|
OG18 OG19 OG20 OG2022
|
Jack wants to use a circular rug on his rectangular office floor to cover two small circular stains, each less than $$\frac{π}{100} $$square feet in area and each more than 3 feet from the nearest wall. Can the rug be placed to cover both stains?(1) Jack's rug covers an area of 9π square feet.(2) The centers of the stains are less than 4 feet apart.
|
|
OG18 OG19 OG20 OG2022
|
For a certain city's library, the average cost of purchasing each new book is $28. The library receives $15,000 from the city each year; the library also receives a bonus of $2,000 if the total number of items checked out over the course of the year exceeds 5,000. Did the library receive the bonus last year?(1) The library purchased an average of 50 new books each month last year and received enough money from the city to cover this cost. (2) The lowest number of items checked out in one month was 459.
|
|
OG18 OG19 OG20 OG2022
|
Is x<5?(1) $$x^{2}$$>5 (2)$$ x^{2}+x<5$$
|
|
OG18 OG19 OG20 OG2022
|
If x, y, and z are positive numbers, what is the value of the average (arithmetic mean) of x and z?(1) x-y=y-z(2) $$x^{2}-y^{2}=z$$
|
|
OG18 OG19 OG20 OG2022
|
If r and t are three-digit positive integers, is r greater than t?(1) The tens digit of r is greater than each of the three digits of t.(2) The tens digit of r is less than either of the other two digits of r.
|