In an organization, 45% of workers are members of both the finance and sports departments. If 10% of the members of the sports department are not also members of the finance department, then what percentage of all the workers of the organization are the members of the sports department?

Certain political lobbies in the United States are lobbying for legislation that would make companies responsible under American law if their overseas affiliates and subsidiaries use child labor, on the grounds that American companies are responsible for upholding human rights wherever they operate. Such reasoning is obviously flawed. After all, no one suggests that domestically-owned companies obey the American environmental standards in overseas subsidiaries.

Which of the following best describes the flawedmethod of reasoning used above?

Is $a^2<b^2$?

(1) a > 0

(2) a < -b

While there are exceptions, most DVDs come out about three to four months after the movie's theatrical release so as not directly to be competitive against theaters and multiplexes for viewer attention.

A group of friends on a hike split up into smaller groups. When they formed groups of three, one person was left out. When they formed groups of four, two people were left out. When they formed groups of six, four people were left out. If the group contains at least a dozen people, what is the smallest possible number of people in the group?

Club football is far more competitive in Europe than in Asia; the differences in point tallies among clubs in Europe are far smaller than among clubs from Asia.

A machine consists of two wheels whose rims meet at a point such that smaller wheel turns the larger wheel. Assuming no loss in the transfer of motion, the larger wheel turns at a rate of 10 revolutions per minute when the smaller wheel turns at a rate of 50 revolutions per minute. If the radius of the smaller wheel is 3 inches, what is the diameter of the larger wheel?

Arthur takes 7 days to lay a 10,000 square foot warehouse floor with tile. Working together from opposite ends, Arthur and John can complete the same project in 5 days. How many days would it take John to finish the same project working alone?

A financial analyst predicts that the government bailout of a bank would fail if the proportion of home loan exposure in that bank is more than 40 percent of its total exposure.

Is it true that ?

(1)

(2)

There are four cards in a box, each with a different number written on it -- either 1, 3, 4 or 5. What is the probability that the difference between the numbers on two randomly selected cards is not greater than 3?

Invented for use in short wavelength radar during WWII, the cavity magnetron, which was able to produce electromagnetic waves at a lower frequency than had previously been possible, was the basis for the development of the common microwave oven.

If  is the greatest integer less than or equal to , what is the value of ?

If 5 is one solution of the equation $x^2+4x+m=5$, where m is a constant, what is the other solution?

If  and , then for what value of  does ?

A game is played with a deck of cards all numbered with either 2, 3, 5, or 7 spots. The point value of a card is its number of spots, unless it is a red card, in which case the point value of the card is 13. In one instance, eleven cards are drawn from the container. If the product of the point values of the removed cards is 5,733,000, how many black 7-spot cards were drawn?