A child selected a three-digit number, XYZ, where X, Y, and Z denote the digits of the number. If no two of the three digits were equal, what was the three-digit number?

(1) The sum of the digits was 10.
(2) X < Y < Z

How much did the taxi driver charge George for the trip to the airport?

(1) George paid the taxi driver a tip equal to 15 percent of the amount the driver charged.
(2) George paid the taxi driver a tip of $6.00.

A certain bank charges a maintenance fee on a standard checking account each month that the balance falls below $1,000 at any time during the month. Did the bank charge a maintenance fee on Sue's standard checking account last month?

(1) At the beginning of last month, Sue's account balance was $1,500.
(2) During last month, a total of $2,000 was withdrawn from Sue's checking account.

For each home sold in County X, the buyer and the seller each must pay to County X a tax of 0.5 percent of the sale price of the home. Colleen recently sold her old home and bought a new home, both in County X. What was the total tax that Colleen paid to County X on these home sales?

(1) Colleen's old home had a sale price of $169,500.
(2) Colleen's new home had a sale price 20% greater than that of her old home.

Is x + y < 1 ?

(1) ~$x< \frac{8}{9}$~
(2) ~$y< \frac{1}{8}$~

What is the median of a certain set of 7 numbers?

(1) 3 of the numbers are less than 10.
(2) 4 of the numbers are greater than 10.

Is ~$\sqrt{\left ( x-5 \right )^{2}}=5-x$~ ?

(1) ~$-x\left | x \right |> 0$~
(2) ~$5-x> 0$~

If v and w are different integers, does v = 0 ?

(1) vw= v²
(2) w = 2

If |x + 2| = 4, what is the value of x ?

(1) ~$x^{2}\neq 4$~
(2) ~$x^{2}=36$~

The lifetimes of all the batteries produced by a certain company in a year have a distribution that is symmetric about the mean m. If the distribution has a standard deviation of d, what percent of the distribution is greater than m + d ?

(1) 68 percent of the distribution lies in the interval from m - d to m + d, inclusive.
(2) 16 percent of the distribution is less than m - d.