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Proffering one increasingly improbable scene character after another, (i)_____ by the constraint of realism, the novel revels in this (ii)_____ by ever more brazenly defying its readers` presumed expectations.
Sequence S: $$a_{1}, a_{2}, a_{3},......,a_{n}$$........

In sequence S, $$a_{1}$$ is an integer and $$a_{n}=2a_{n-1}$$ for all integers n greater than 1. If no term of sequence S is a multiple of 100, which of the following could be the value of $$a_{1}$$?

Indicate all such values.
On the number line, P is a point between -3 and -2, Q is a point between -1 and 0, and R is a point between 0 and 1.

Quantity A

The distance between P and Q

Quantity B

The distance between Q and R


k > m

Quantity A

|m| - |-k|

Quantity B

|k| - |-m|


In Cixin Liu`s novel Death`s End, compassion becomes a (i)_______: motivated by her unwillingness to risk the lives of others, the protagonist-brilliant astrophysicist Cheng Xin-makes several decisions that ultimately (ii)______ humankind. Yet the survivors that Xin meets never respond with (iii)______ as expected, instead reminding her that the choices she faced were complicated and their outcome impossible to predict.
In a geometric sequence with 100 terms, the first term is positive and each term after the first term is equal to $$r$$ times the preceding term, where r > 2.

Quantity A

The sum of the first 99 terms of the sequence

Quantity B

The last term of the sequence


There are two equilateral parallelogram P and Q. The perimeter of Q is twice as that of P. Both P and Q have a diagonal of 6, and the other diagonal of P is 8. Which of the following is the length of the other diagonal of Q?


The circumference of a circle with radius 3 is divided into 4 arcs of lengths x, y, z, and w, as shown.

Quantity A

The average (arithmetic mean) of x, y, z, w

Quantity B


a=3+|x-4| (-2 ≤ x ≤ 5)

What is the positive difference between the greatest and least value of a?
Set A={1, 5, 9, 13, 10}

Set B={1, 5, 9, 13, 9}

Set C={1, 5, 9, 13, 7}

Set D={1, 5, 9, 13, 5}

Which of the following statement illustrates the exact order of standard deviation of these sets of numbers from the lowest to the greatest?
The average (arithmetic mean) of the values of the homes in Town A is $100,000. The average of the values of the homes in Town B is $150,000. The number of homes in Town A is between 2 times and 3 times the number of homes in Town B. Which of the following values could be the average of the values of the homes in Town A and Town B combined?

Indicate all such values.
A's salary is 33$$\frac{1}{3}$$ percent greater than B, while B's salary is 75 percent of C.

Quantity A

A's salary

Quantity B

C's salary


Quantity A

The greatest prime factor of 50

Quantity B

The greatest prime factor of 60


If the number of acres of barley grown was the same in 2004 as it was in 2005, approximately what percent of the number of acres of barley grown in 2004 was grown organically?
The line with equation y=3x-2 will be translated 4 units to the right and 5 units up in the xy-plane. Which of the following is the equation of the resulting line?
The three children in the Alden family contributed 30 percent of the amount budgeted for savings. The oldest child contributed $150 more than the youngest child, and the middle child contributed $60 more than the youngest child. What was the median of the amounts that the children contributed to savings ?
It can be inferred from the passage that the process of turning grapes into wine
Brennan' (i)____________ is being blamed for damaging the company's reputation. Her lawyers, however, say that she does not lie and that she's been nothing but (ii)____________ from the beginning.
In the Hawaiian Islands, where the volcanic material is initially too ____________ to support running surface water, rainwater simply percolates down through the substratum.
In wastewater tested before and after treatment at some treatment plants, certain medications were found in higher concentrations after treatment than before, suggesting that microbes used to clean wastewater may also be ____________ some medications that had broken down earlier.

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