If , what is the value of x?

Is xy < 0?

(1) |x + y| < |x| + |y|

(2) |x| - |y| < |x – y|

The ratio of cupcakes to children at a particular birthday party is 104 to 7. Each child at the birthday party eats exactly x cupcakes (where x is a positive integer) and the adults attending the birthday party do not eat anything. If the number of cupcakes that remain uneaten is less than the number of children at the birthday party, what must be true about the number of uneaten cupcakes?

I. It is a multiple of 2.

II. It is a multiple of 3.

III. It is a multiple of 7.

For positive integers a and b, is an integer?

(1) 2 is the only prime factor of b

(2) a is a perfect square

Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week?

(1) Last week, full price for a copy of Magazine X was $1.50 and the total revenue from full-price sales was $112,500.

(2) The total number of copies of Magazine X sold last week at full price was 75,000.

From 2000 to 2003, the number of employees at a certain company increased by a factor of . From 2003 to 2006, the number of employees at this company decreased by a factor of . If there were 100 employees at the company in 2006, how many employees were there at the company in 2000?

If -2 < t < 0 and 0 < v < 2, then which of the following must be true?

I. tv - v < 0

II. t² – v² > 0

III. (t–v)²< 4

A card is randomly drawn from a standard pack of 52 cards without replacement. Is the card a face card?

(1) The probability of drawing two Tens from the remaining 51 cards is

(2) The probability of drawing two Queens from the remaining 51 cards is

For any integers a and b, min(a, b) and max(a, b) denote the minimum and maximum of a and b, respectively. For example, min(1, 2) = 1 and max(1, 2) = 2. For the integer x, what is the value of max (x, 8)?

(1) max(x², x) = 16

(2) min(9, x) = x

The graph above is a circle graph with 9 sectors, each representing an area in which the U.S. government spent money (in millions of dollars) during the 2006 fiscal year.

Use the drop-down menus to fill in the blanks in each of the following statements based on the information given by the graph.

1. If Medicare and Medicaid spending in 2005 were $824,400,000, spending in this sector approximately from 2005 to 2006.

2. The sectors of comprise approximately 25% of the total amount spent by the U.S. Government in 2006.