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The traditional set of nine planets could have been retained by defining a planet as any object that has the unique combination of characteristics of any one of the nine objects that were considered planets in the late twentieth century. That definition would not be (i) _____________; that is, it does not contradict the evidence. Its (ii) _____________, however, renders it less (iii) _____________ than definitions based on astronomical criteria, such as orbit, size, and gravitation.
The primary purpose of the passage is to
The primary purpose of the passage is to
The term “idiosyncratic” is used by the author of the passage to characterize the
Regarding the evidence collected by the Society for Psychical Research, which of the following can properly be concluded from the passage?
The argument anticipated in the highlighted sentence depends on which of the following assumptions?
Which of the following, if true, most seriously weakens the mayor's argument?
The passage is primarily concerned with
Which of the following most logically completes the argument?
The statements given, if true, most strongly support which of the following?
The primary purpose of the passage is to
Let $$q$$ be a prime number less than $$100$$. When $$q$$ is divided by $$5$$, the remainder is $$2$$. When $$q$$ is divided by $$7$$, the remainder is $$6$$, what is the remainder when $$q$$ is divided by $$8$$?
$$n$$ is a positive integer.

Quantity A

$$\frac{1}{3^{n}}$$

Quantity B

$$3(\frac{1}{4^{n}})$$


$$x^{2}$$=4 and $$y^{2}$$=1

Quantity A

$$(x-y)^{2}$$

Quantity B

3


In a certain sequence, each term after the first is equal to the preceding term multiplied by -$$\frac{1}{2}$$. If the 200th term is positive, which of the following statements must be true?

Indicate all such statements.
A certain baker sent 280 loaves of bread to a grocery store. The baker packed the loaves in two types of boxes. The smaller type of box could hold up to 8 loaves, while the larger type of box could hold up to 12 loaves. When the baker sent the loaves, all the boxes were full and there were equal numbers of both types of boxes. What fraction of the loaves of bread sent to the grocery store were packed in the smaller boxes?
$$x-y \gt x$$ and $$x+y \lt y$$

Quantity A

$$x$$

Quantity B

$$y$$




In the above figure, ABCD, OAPD, OBQC are all squares, and the radius of the circle O is 1.

Quantity A

The length of the semicircle PQ

Quantity B

The sum of lengths of line segments PD, DC and CQ


An organization offers only three types of annual memberships. Basic memberships cost $50 each, standard memberships cost $70 each, and premium memberships cost $100 each. Last year, a total of 200 memberships were purchased at an average arithmetic mean) cost of $80 per membership.

Which of the following statements individually provide(s) sufficient additional information to determine the number of premium memberships purchased last year?

Indicate all such statements

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