Many years ago, befor modern educashun in the new millenium, one problem in skools was baseic speeling and grammer. To conbat this and rays acheivement, teechers were adviced to start at the very begining, at the yungest age. Once they had managed to breath new life into leessons, progres came quickly, sucess was then garanteed. How many speeling errors would modern skolars identify in this passage?
Reasoning
Many years ago, before modern education in the new millennium, one problem in schools was basicspelling and grammar. To combat this and raiseachievement, teachers were advised to start at the very beginning, at the youngest age. Once they had managed to breathe new life into lessons, progress came quickly, success was then guaranteed. How many spelling errors would modern scholars identify in this passage?
Reasoning
We could use a calculator to see that the tenth root of 10 = 1.2589 and the cube root of 2 = 1.2599.
But, if you've not got your calculator handy…
We have:
101/10 or 21/3
Raise each to the power of 30 (since 10 x 3 = 30) to give:
(101/10)30 or (21/3)30
101/10 x 30 or 21/3 x 30
103 or 210
1000 or 1024
Therefore, the cube root of 2 is larger.
??
Puzzle 199
During the recent BrainBashers cipher convention, a binary code contest took place.
The contest consisted of a binary code transmission where the spaces between the letters were missing and there was no punctuation.
Each letter of the alphabet was translated into its binary equivalent based on its position in the alphabet. The resulting code was then blocked in groups of five digits.
a=1, b=10, c=11, d=100, e=101, f=110, g=111, h=1000, i=1001, j=1010, k=1011, l=1100, m=1101, n=1110, o=1111, p=10000, q=10001, r=10010, s=10011, t=10100, u=10101, v=10110, w=10111, x=11000, y=11001, z=11010