# User:Arotenbe/Solutions to IQ sample test

I here reveal my solutions to the IQ sample test.

More coming soon...

## Solutions[edit]

0. We are not allowed to use any symbols in the set (n, x, ∞). However, we can still use other symbols, so we define infinity as .

2. We solve the equation for , giving us . To calculate the area of the triangle, we use Heron's formula, where . Plugging the value of , we see that , which is 0. Hence, the triangle has a height of 0 dollars. Or infinity dollars. Whatever.

4a. From the given, we know that the angle is 90 degrees, so the error is 0%.

4b. We use a proof by induction. We start with the base case of . From this, we have that . However, , so by vacuous truth, for all non-zero values of 2. Q.E.D.