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

In Year X, 8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?

(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.

(2) In Year X, 120,000 more men in the labor force were unemployed in June than in May.

Is xy > 5 ?

(1) 1 ≤ x ≤ 3 and 2 ≤ y ≤ 4.

(2) x + y = 5

If n is positive, is ~$\sqrt{n}$~ > 100 ?

(1) ~$\sqrt{n-1}$~ > 99

(2) ~$\sqrt{n+1}$~ > 101

If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock?

(1) If the price per share of the stock had been $1 more, the total price of the n shares would have been $300 more.

(2) If the price per share of the stock had been $2 less, the total price of the nshares would have been 5 percent less.

How many integers n are there such that r < n < s ?

(1) s - r = 5

(2) r and s are not integers.