Q1. If one and only one edge of a tetrahedron is greater than 1, then its volume is
a. ≤ 1/8 b. ≤ 1/16 c.≥ 1/8 d.≥ 1/16
Q2. Find all integers n such that S(n) = S(2n) = ... = S(n*n), where S is the sum of the base-10 digits.
Q3. A fly sits on the corner of a wooden cube. What is the shortest distance it must travel in order to reach the opposite corner of the cube?
Q4. Find the integer N such that N and N2 together contain all 10 digits from 0 through 9 twice each, and also have the largest number of double digits (such as 11 or 66).