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PQRS is a rectangle, and the ratio of PQ to QR is 10 to 9. PX=1 and PY=0.9

Quantity A

The area of triangular region PXR

Quantity B

The area of triangular region PRY


A list consists of 25 different positive integers that are ordered from least to greatest. The average (arithmetic mean) of the integers in the list is 75, and the average of the first 12 integers in the list is 50.

Quantity A

The average of the last 12 integers in the list

Quantity B

100




Greg' s income last year was $45,000. The graph above shows the distribution of his income, by income source. Based on the information given, which of the following statements about his income last year are true?

Indicate all such statements.
In the xy-plane, a circle with center C in the first quadrant is tangent to both the x - and y-axes. If the area enclosed by the circle is 20π, what are the coordinates of C?
The operation $$●$$ is defined for all numbers $$x$$ and $$y$$ by $$x●y=x+2y.$$

$$r$$, $$s$$, and $$t$$ are positive numbers.

Quantity A

$$(r●s)●t$$

Quantity B

$$r●(s●t)$$




The four cubes shown above have edges of length 5, 4, 3, and 1, respectively. The sum of the surface areas of the three smaller cubes is how much greater than the surface area of the largest cube?
Which country has the least total wealth?
The wealth per person for Country M is approximately what percent greater than the wealth per person for Country N?
The wealth per person for countries N and O combined is closest to which of the following?


Quantity A

The ratio of the perimeter of square Ⅱ to the perimeter of square I

Quantity B

The ratio of the area of square Ⅱ to the square of square II


$$x+y=5$$

$$2x+2y=8$$

Quantity A

The shortest distance between the graphs of the two equations

Quantity B

1


$$n$$ is a positive integer and $$k=10,000n$$.

Quantity A

The sum of the digits of $$n$$

Quantity B

The sum of the digits of $$k$$


A bag contains a total of 12 bagels consisting of 5 plain bagels, 3 garlic bagels, and 4 cinnamon raisin bagels. If 2 bagels are to be selected at random from the bag without replacement, what is the probability that both bagels will be garlic bagels?

Give your answer as a fraction.
A bag contains 5 quarters, 10 nickels, and 15 dimes. If 4 of these coins are to be picked at random from the bag, without replacement, what is the probability of getting 4 quarters?
The probabilities that independent events F and G will occur are 0.50 and 0.64, respectively. What is the probability that neither of them will occur?
Ray has applied for acceptance to two different colleges. If the probability is 0.20 that he will not be accepted to either college, what is the probability that he will be accepted to at least one of them?
Event E and event F are independent. $$p$$ is the probability that event E will occur. $$q$$ is the probability that event F will occur.

Quantity A

The probability that both events E and F will occur

Quantity B

$$pq$$


Werner and Kim are working independently at decoding a message. The probability that Werner will decode the message is equal to the probability that Kim will decode the message. The probability that both Werner and Kim will decode the message is 0.16.

Quantity A

The probability that Werner will not decode the message

Quantity B

0.5


A certain bag contains 4 coconut cookies and 6 chocolate chip cookies. Luis picks one cookie at random and it is a coconut cookie, which he puts back in the bag. If he is to select another cookie at random, what is the probability that it will also be coconut?

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