If A+C=A; FxD=F; B-G=G; A+H=E; B/H=G; and E-G=F
and A–H represent the numbers from 0-7, find the values of B, D, F, and H.
A cyclist and a runner start off simultaneously around a race track each going at a constant speed. The cyclist goes all the way around and then catches up with the runner. He then instantly turns around and heads back to the starting point where he meets the runner who is just finishing his first circuit. Find the ratio of their speeds (speed of the cyclist / speed of the runner) and subtract the square root of 2 from it. Call this number X.
Look on the back or the inside of any modern book and you will find an ISBN code. These are used to identify every book that is now published. In the ISBN code, 0-9477?5-24-3, there is one number that has been replaced with a ?. Find out what this number is and call it Y.
What is the diameter of the largest circle that fits inside of a triangle whose sides have lengths 5, 12, and 13? Call this answer Z.
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