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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?


In the xy-plane, what is the area of the quadrilateral region ABCD?
Higgins is that rare phenomenon, a writer to whose fiction one goes in search of (i)_______________ of the writer' s life rather than vice versa, the more usual direction. In a sense, indeed, life and fiction are one for Higgins, since as far as can be ascertained, he has never written of anything that did not (ii)____________ his own experience. Yet even though he mines his own life to supply raw material for his writing, the precise facts of that life remain (ili)______________.


The perimeter of the rectangle in the figure above is 20 and its length and width are integers. Which of the following could be the area of the shaded region?


Square GBDF is inscribed in the isosceles right triangle ACE.

Quantity A

The area of triangular region ABG

Quantity B

$$\frac{1}{4}$$ of the area of triangular region ACE




In the figure above, the line segments represent paths in a garden and the dots represent benches. All of the paths allow two-way traffic except the path between the waterfall bench and the roses bench, which can be traveled only in the direction of the arrow. What is the greatest possible number of different routes from the entrance bench to the fountain bench along these paths that a visitor can travel without passing the same bench more than once?
Approximately what was the percent decrease from Monday to Friday in the daily number of calls received?
For the week shown, which of the following is closest to the average (arithmetic mean) number of calls received per day minus the median number of calls received per day?
If the business received calls of only two types on Saturday and if calls of one of the two types accounted for 25 percent of all the calls received on that day, which of the following could be the remaining type of call?

Indicate all such types of call.
$$t+4=m+7$$

Quantity A

$$t+9$$

Quantity B

$$m+13$$


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