Over a certain time period, did the number of shares of stock in Ruth's portfolio increase?

(1) Over the time period, the ratio of the number of shares of stock to the total number of shares of stocks and bonds in Ruth's portfolio increased.
(2) Over the time period, the total number of shares of stocks and bonds in Ruth's portfolio increased.

A certain group of car dealerships agreed to donate x dollars to a Red Cross chapter for each car sold during a 30-day period. What was the total amount that was expected to be donated?

(1) A total of 500 cars were expected to be sold.
(2) 60 more cars were sold than expected, so that the total amount actually donated was $28,000.

If ~$x\neq -y$~, is ~$\frac{x-y}{x+y}> 1$~ ?

(1) x > 0
(2) y < 0

If n is a positive integer, is n³ - n divisible by 4 ?

(1) n = 2k + 1, where k is an integer.
(2) n² + n is divisible by 6.

Of the 4,800 voters who voted for or against Resolution K, 1800 were Democrats and 3,000 were Republicans. What was the total number of female voters who voted for Resolution K ?

(1) ~$\frac{3}{4}$~ of the Democrats and ~$\frac{2}{3}$~ of the Republicans voted for Resolution K.
(2) ~$\frac{1}{3}$~ of the Democrats who voted for Resolution K and ~$\frac{1}{2}$~ of the Republicans who voted for Resolution K were females.

What is the greatest integer that is less than t ?

(1) ~$t=\frac{9}{4}$~
(2) ~$t=\left ( \frac{-3}{2} \right )^{2}$~

If eleven consecutive integers are listed from least to greatest, what is the average (arithmetic mean) of the eleven integers?

(1) The average of the first nine integers is 7.
(2) The average of the last nine integers is 9.

At the bakery, Lew spent a total of $6.00 for one kind of cupcake and one kind of doughnut. How many doughnuts did he buy?

(1) The price of 2 doughnuts was $0.10 less than the price of 3 cupcakes.
(2) The average (arithmetic mean) price of 1 doughnut and 1 cupcake was $0.35.

In 1999 Company X's gross profit was what percent of its revenue?

(1) In 1999 Company X's gross profit was ~$\frac{1}{3}$~ of its expenses.

(2) In 1999 Company X's expenses were ~$\frac{3}{4}$~ of its revenue.

What is the ratio of the number of cups of flour to the number of cups of sugar required in a certain cake recipe?

(1) The number of cups of flour required in the recipe is 250 percent of the number of cups of sugar required in the recipe.
(2) ~$1\frac{1}{2}$~ more cups of flour than cups of sugar are required in the recipe.