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If the quotient $\tfrac{a}{b}$ is less than zero, which of the following CANNOT be true?

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It can be inferred from the passage that the air temperature of condensation at a time in the past when snow fell

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It can be inferred from the passage that the technique of using ice cores to determine historical temperatures would be less advantageous if which of the following were true?

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The passage suggests that which of the following is true of a centralized warehouse model?

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The primary purpose of the passage is to

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In the passage, the author is primarily interested in

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If Wise's theory were widely accepted, people would tend to view a new invention as a symbol of

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In the passage, the author anticipates which of the following as a possible objection to his argument?

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It can be inferred from information presented in the passage that if the mass of a stellar object is less than 3.6 solar masses, which of the following must be true as a consequence?

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Cruise Cancellation Fees
Days Prior to Departure	Percent of Package Price
61 or more	10%
46 − 60	25%
31 − 45	40%
6 − 30	60%
5 or fewer	100%

The table above shows the cancellation fee schedule that a cruise company uses to determine the fee charged to a tourist who cancels a trip prior to departure. If a tourist canceled a trip with a package price of $3,800 and a departure date of August 5, on what day was the trip canceled?

(1) The cancellation fee was $950.

(2) If the trip had been canceled one day later, the cancellation fee would have been $570 more.

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The subsets of the set $\{p,q,r\}$ are:

$\{p\}$ , $\{q\}$ , $\{r\}$ , $\{p,q\}$ ,

$\{p,r\}$ , $\{q,r\}$ , $\{p,q,r\}$ ,

and $\{\ \}$ (the empty subset)

How many subsets of the set $\{p,q,r,s\}$ contain both $p$ and $q$ ?

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There are 8 popsicles in a box, of which 6 are red and 2 are purple. How many possible selections of 3 popsicles from the box contain at least one red popsicle and at least one purple popsicle?

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There are 9 keys on a keychain, of which 5 are for exterior locks and 4 are for interior locks. How many possible selections of 5 keys from the keychain contain at least one key for an exterior lock and at least one key for an interior lock?

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$2x+y=12$ $\left | y \right |\leq 12$

For how many ordered pairs $(x,y)$ that are solutions of the system above are $x$ and $y$ both integers?

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A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?

I. 1

II. 3

III. 4

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A square mirror has a square wooden frame of uniform width surrounding it. If the ratio of the area of the mirror to the area of the wooden frame is 25 to 24, which of the following could be the width, in inches, of the wooden frame?

I. 1

II. 2

III. 5

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	$A$	$B$	$C$	$D$
$A$	0	81	$x$	$y$
$B$	81	0	58	43
$C$	$x$	58	0	25
$D$	$y$	43	25	0

The table above shows the distance, in miles, by the most direct route, between any two of the four cities $A, B, C$ and $D$ . For example, the distance between City $B$ and City $D$ is $43$ miles. What is the value of $x$ ?

(1) By the most direct route, the distance between $A$ and $B$ is three times the distance between $A$ and $D$ .

(2) By the most direct route, the distance between $B$ and $C$ is half the distance between $A$ and $C$ .

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	W	X	Y	Z
W	0	83	45	$y$
X	83	0	$b$	43
Y	45	$b$	0	$a$
Z	$y$	43	$a$	0

The table above shows the distance, in miles, by the most direct route between any two of the four cities W, X, Y, and Z. For example, the distance between City W and City X is 83 miles. What is the value of $a$ ?

(1) By the most direct route, the distance between W and X is one-third of the distance between Y and Z.

(2) By the most direct route, the distance between W and Y is four times the distance between X and Y.

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Each hour, a radio station plays 600 seconds worth of both 30-second and 60-second commercials. At least one commercial of each length is played. How many 60-second commercials are played each hour?

(1) Fewer than 5 commercials that are 30 seconds are played each hour.

(2) More than 8 commercials that are 60 seconds are played each hour.

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Enough small and large pizzas are ordered for $30$ party guests that are expected to eat $3$ slices each. Each small pizza has $6$ slices and each large pizza has $8$ slices. How many small pizzas are ordered?

(1) Fewer than $5$ small pizzas are ordered.

(2) More than $5$ large pizzas are ordered.