Is x between 0 and 1 ?

(1) x² is less than x.

(2) x³ is positive.

After winning 50 percent of the first 20 games it played, Team A won all of the remaining games it played. What was the total number of games that Team A won?

(1)Team A played 25 games altogether.

(2) Team A won 60 percent of all the games it played.

If x² + y² = 29, what is the value of (x - y)² ?

(1) xy = 10

(2) x = 5

K is a set of numbers such that

(i) if x is in K, then -x is in K, and

(ii) if each of x and y is in K, then xy is in K. Is 12 in K ?

(1) 2 is in K.

(2) 3 is in K.

If x, y, and z are positive numbers, is x > y > z ?

(1) xz > yz

(2) yx > yz

If the average (arithmetic mean) of n consecutive odd integers is 10, what is the least of the integers?

(1) The range of the n integers is 14.

(2) The greatest of the n integers is 17.

In ΔXYZ, what is the length of YZ ?

(1) The length of XY is 3.

(2) The length of XZ is 5.

In the figure above, line segment OP has slope ~$1 \over 2$~ and line segment PQ has slope 2. What is the slope of line segment OQ ?

(1)Line segment OP has length~$2\sqrt{5}$~  .

(2)The coordinates of point Q are (5,4).

In the equation x² + bx + 12 = 0, x is a variable and b is a constant. What is the value of b ?

(1) x - 3 is a factor of x² + bx + 12.

(2) 4 is a root of the equation x² + bx + 12 = 0.

If 2x(5n) = t, what is the value of t ?

(1) x = n + 3

(2) 2x = 32