Harry Houdini is Mental Math Magician and top Math Wizard at Hexon..one of the top cryptographic companies in the world.
They have deployed Passwordless super smart secret system to control employee access. Top Tier employees get top-notch questions to be answered in allotted time prior to be granted access.
Harry met Hexagon for the first time today as it is his first day of work. Hexagon has designed couple of tough questions for him to test his mettle. Little did the system know..it is in for a nasty surprise!!!
$Question 1: Time..2 mts$
For a Full Reptend Prime of the type RPP (concatenated number with R,P..2 distinct digits), sum of digits is 22. Last 2 and first 20 digits of its period in the reciprocal need to be inputted.
$Question 2: 3 mts$
Concatenated number is 177 digits long with 88 eighty eights followed by 9(last digit). Square it and input the last 30 digits of the result.
Harry said this is insult to me. Haven’t you heard of my mental math wizardry before?
Harry told Hexagon..please activate voice input option and I will rattle off all the necessary digits $under 60 seconds$
Tell me : $ How Harry Did It?$