题目列表

题目内容
One-half of $$8^{150}$$ is equal to which of the following?
If $$x > 0$$ and $$2x^2-3x-5=0$$, what is the value of $$x$$? $$x$$=_____
Investors X and Y each invested $5,000 for 2 years at an annual interest rate of 6 percent.

Quantity A

The total amount of interest X earned if the interest was compounded semiannually

Quantity B

The total amount of interest Y earned if the interest was compounded monthly


An adult bee from the smallest known bee species has a length of 2 millimeters. What is the length of this bee in meters?
Working at their respective constant rates, machine A can produce 10,000 widgets in 10 hours, and machine B can produce 10,000 widgets in 5 hours. If the two machines work simultaneously and independently at their respective constant rates, then they would produce a total of 10,000 widgets in how many minutes?

_____minutes
At a certain location, the high temperatures for the past seven days, in degrees Fahrenheit, were 76, 66, 61, 54, 59, x, and 70. Which of the following values could be the median of the high temperatures, in degrees Fahrenheit?

Indicate all such values.
The function f is defined by $$f(n)=3n^2+2n+5$$ for all integers n.

Quantity A

The least value of $$f(n)$$ for all integers $$n$$

Quantity B

5




Which of the lines shown in the xy-plane contains only points with coordinates (x, y) for which x=-y
Cylindrical can A contains five servings of soup when full. How many servings of the soup are contained in a full cylindrical can with 2 times the diameter and 3 times the height of can A?
$$\frac{m^3}{n^6}=\frac{1}{27}$$

Quantity A

$$3m$$

Quantity B

$$n^{2}$$


For which of the following values of $$x$$ does the expression $$\sqrt{\frac{24}{x+1}}$$ represent an irrational number?
S is the set of all integers from 1 to 100, inclusive.

Quantity A

The number of integers in S that are multiples of 7, but not of 6

Quantity B

12




PQRS is a rectangle.

Quantity A

$$z$$

Quantity B

$$y+90$$


If the average (arithmetic mean) of w, x, and y is 3 more than the average of x, y, and z, then w is how much greater than z?
At 12:55 in the afternoon,there are 250 people in a certain stadium for a game scheduled to begin at 2:15 in the afternoon.If the number of people in the stadium will double every 20 minutes until the game is scheduled to start, how many people will be in the stadium at the time the game is scheduled to start?

Quantity A

P

Quantity B

0


The distance from Karen' s home to an office is 98.4 miles along a certain route. Along the route, a rest stop is located 83.8 miles from her home and a police car is always within 0.5 mile of the rest stop. Along the route, less than 0.5 mile before the office, Karen' s car broke down. Which of the following values could be the distance, in miles, along the route between Karen' s car and the police car?

Indicate all such values.
$$(5^{3})w+(5^{2})x+5y+z=264$$

In the equation shown, $$w$$, $$x$$, $$y$$ and $$z$$ are integers that are non-negative integers and each is less than 5. What is the value of $$w+x+y+z$$?
When the positive integer $$w$$ is dided by 11, the remainder is 4. What is the remainder when $$w^2$$ is divided by 11?

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