If ~$x$~>0, what is the value of ~$x$~?

(1) ~$x^3-x=0$~

(2) ~$\sqrt[3]{x}-x=0$~

 If ~$m$~ is an integer greater than 1, is ~$m$~ an even integer?

(1) 32 is a factor of ~$m$~.

(2)  ~$m$~ is a factor of 32.

Is ~$x>y$~?

(1) ~$x+y>x-y$~

(2)~$3y>2y$~

 How much did credit-card fraud cost United States banks in year ~$X$~ to the nearest $10 million?

(1) In year ~$X$~, counterfeit cards and telephone and mail-order fraud accounted for 39 percent of the total amount that card fraud cost the banks.

(2)In year ~$X$~, stolen cards accounted for $158.4 million, or 16 percent, of the total amount that credit-card fraud cost the banks

Rita’s monthly salary is ~$\frac{2}{3}$~  Juanita’s monthly salary. What is theircombined monthly salary?

(1) Rita’s monthly salary is $4,000.

(2) Either Rita’s monthly salary or Juanita’s monthly salary is $6,000.

The closing price of Stock ~$X$~ changed on each trading day last month. The percent change in the closing price of Stock ~$X$~ from the first trading day last month to each of the other trading days last month was less than 50 percent. If the closing price on the second trading day last month was $10.00, which of the following CANNOT be the closing price on the last trading day last month?

On a certain day, a bakery produced a batch of rolls at a total production cost of $300. On that day, ~$\frac{4}{5}$~ of the rolls in the batch were sold, each at a price that was 50 percent greater than the average (arithmetic mean) production cost per roll. The remaining rolls in the batch were sold the next day, each at a price that was 20 percent less than the price of the day before. What was the bakery’s profit on this batch of rolls?

The number ~$\sqrt{63-36~\sqrt{3}~}$~ can be expressed as ~$x+y \sqrt{3}$~for some integers ~$x$~ and ~$y$~. What is the valueof ~$xy$~?

 If ~$S$~ is the sum of the reciprocals of the 10 consecutive integers from 21 to 30, then ~$S$~ is between which of the following two fractions?

 In a certain medical survey, 45 percent of the people surveyed had the type ~$A$~ antigen in their blood and 3 percent had both the type ~$A$~antigen and the type ~$B$~ antigen. Which of the following is closest to the percent of those with the type ~$A$~ antigen who also had the type ~$B$~ antigen?