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

What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?

(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.

(2) The wheel made twenty 360-degree rotations per minute.

What is the radius of the circle above with center O ?

(1) The ratio of OP to PQ is 1 to 2.

(2) P is the midpoint of chord AB.

If kmn≠0, is ~$x \over m$~(m² + n² + k²) = xm + yn + zk ?

(1) ~$z \over k$~=~$x \over m$~

(2)~$x \over m$~=~$y\over n$~

On Monday morning a certain machine ran continuously at a uniform rate to fill a production order. At what time did it completely fill the order that morning?

(1) The machine began filling the order at 9:30 a.m.

(2) The machine had filled ~$1 \over 2$~ of the order by 10:30 a.m. and ~$5 \over 6$~ of the order by 11:10 a.m.

If x ≠0, what is the value of  alt="1481870311_58538be72ff2d.png" />？

(1)p = q

(2) x = 3