You can spell the words again using a letter from each word in order:
What Hole Ales Test
wHat hOle aLes tEst
whAt hoLe alEs teSt
whaT holE aleS tesT
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You can spell the words again using a letter from each word in order:
What Hole Ales Test
wHat hOle aLes tEst
whAt hoLe alEs teSt
whaT holE aleS tesT
Nice.Quote:
Originally Posted by 3fingersalute
3 points.
Is that not essentially what I answered? I used a different method of logic to do the same thing. :confused:Quote:
Originally Posted by a d e p t
yeah, i think it is actually - I had not seen your answer until I submitted - I had the reply window open trying to figure it outQuote:
Originally Posted by Deity
Not really worth any points for me Adept - I think I just restated the answer in a different manner
While riding in the car I saw a license plate that read like this:
IXMNIZ
What occupation did the man in the car have?
__________
He was an optometrist. The license plate reads like this:
I-XMN-IZ
(So it reads I Examine Eyes)
An eye doctorQuote:
Originally Posted by a d e p t
(I examine eyes)
No, you should still get the points. I'm not saying your answer is no good, because your logic is different.Quote:
Originally Posted by 3fingersalute
Besides, you still need to catch up to Ya_Know.
or optometrist to be more exact
I didn't think so... but you are both correct.Quote:
Originally Posted by Deity
My mistake.
Thanks 3FS. ;)
Whatever the great and almight Adept decides then! :thumbs:Quote:
Originally Posted by Deity
Good recovery.Quote:
Originally Posted by 3fingersalute
3 points.
Thanks, I need another one yet today so I can bust the 100 mark!Quote:
Originally Posted by a d e p t
Quote:
Originally Posted by 3fingersalute
Edit - actually, I think that 3 should have put me over the 100 mark ??
Two years ago, a problem surfaced at the Romankachi Pharmaceuticals Ltd. - one of the many companies belonging to the huge Romankachi conglomerate.
We were devising a three digit id (nonzero first digit) for the employees such that no two employees can have id's that are identical when written in the reverse order. For example, 123 and 321 are identical and hence only one of them can exist. Also a 3 digit id starting with a 0 was invalid since the machine used for swiping does not recognize a 3 digit id starting with a 0.
After a lot of careful analysis and discussion, we were able to figure out the maximum number of employees that could use this system.
Can you repeat the feat?
__________
It has been mentioned that a 3 digit code starting with a 0 is invalid. Hence we cannot use codes from 001 to 099.
Hence the total number of valid 3 digit id's is 900.
Out of these, three digit numbers that are symmetrical will have the same first and the last digit. The first and the last digit in this case can be selected in 9 ways(any number from 1 to 9). The second digit can be selected in 10 ways(any number from 0 to 9). Therefore number of symmetrical three digit numbers = 9*10 = 90. These 90 id's will not have a corresponding number when written in reverse order.
Secondly numbers ending with a zero will also not have a corresponding 3 digit number when written in reverse order. For example, reverse of 910 is 019 which is not a valid three digit code due to the condition given that 3 digit codes starting with 0 are invalid. Number of such three digit numbers = 9*10 = 90.
Rest of the (900-180) = 720 numbers can be classified into two groups of 360 numbers each, where corresponding pairs of numbers will be identical when written in reverse order. Hence consider only 360 of these numbers.
Therefore total number of valid employee id's possible = 90 + 90 + 360 = 540.
It did.Quote:
Originally Posted by 3fingersalute
I hadn't had time to update the scores yet.
The decision was to let you both keep your 3 points, as it was a mistake on my part and you both came to the solution from different angles.
720 ???Quote:
Originally Posted by a d e p t
360 possible numbers.Quote:
Originally Posted by a d e p t
Eliminate 000 through 099 = 100 numbers gone
Eliminate ending in 0 (100, 110, 120, etc.) = 90 numbers gone
Eliminate all those that are the same reversed (101, 111, 121, etc.) = 90 numbers gone
Numbers remaining is 1000 - 100 - 90 - 90 = 720
Divide that in half to eliminate other reciprocals (123:321, etc.)
720/2 = 360
wait - let me try that again,
540??
If I am thinking right:Quote:
Originally Posted by 3fingersalute
We only have 900 #'s to begin with if we get rid of 000 - 099.
90 #'s that can be 3 didgit and the same from front to back (101, 111, 121, etc.)
90 #'s that end in 0 that cannot be used because they will start with 0 when flip-flopped (100, 110, 120, etc.)
So if we remove those 180 (900-180), we have 720 left. We can only use 1/2 of them, because of the backwards role, so 720/2 = 360.
360 + 180 = 540 ??
540 is correct.Quote:
Originally Posted by 3fingersalute
3 points.
Where is this other 180 coming from that you add back into the total?Quote:
Originally Posted by 3fingersalute
Nevermind. I didn't think about returning the reciprocal values to the total. I figured that as reverse of themselves, they were unusable. Nice work 3FS.Quote:
Originally Posted by Deity
He is getting pretty good at this, isn't he? :p
Yes, he is. :mad:Quote:
Originally Posted by a d e p t
Dang it!!! I go off to Alaska and while I'm gone, you people (and by you people, I mean ADEPT :p ) start up the Mindtrap thread without me...
Now I have even more catching up to do... :thumbs:
Thanks............I actually forgot to add them in at all at first, and forgot to divide the remainder in half too!Quote:
Originally Posted by Deity
Starting easy...
Professor Bumble was going on a lecture circuit for several months and he asked his friend, Hardy Pyle, to watch for a certain letter he was expecting.
The problem Hardy faced was that Bumble had a mailslot and forgot to leave him a house key. Hardy sent Bumble a letter to inform him of his dilemma. Bumble immediately sent a key to his house by return mail.
This being the case, why wouldn't Hardy be able to honour Bumble's request?
__________
The key would have been delivered through Bumble's mailslot and Hardy would have the same problem as before.
Because the letter witht the key would go through the mailslot into the house!
Miss me?
dang............u handing out points today or what Adept?
Sorda kinedaQuote:
Originally Posted by Kineda
Quote:
Originally Posted by Kineda
3 points.
Sure did.Quote:
Originally Posted by Kineda
Where you been?
TETSUOOOOOOOOO!!!!!!
I had to think of something to get the lamers interested again. :pQuote:
Originally Posted by 3fingersalute
You gonna take that crap Kineda?????Quote:
Originally Posted by a d e p t
Justin Summers walks up and down a hill which is six kilometres for a round trip. His dog being slower, walks at half the speed.
When Justin reaches the top of the hill he turns around and walks down meeting his dog part way. Justin continues walking to the bottom of the hill at the same speed. The dog follows him, also maintaining his original speed.
How far does the dog walk?
__________
Four kilometres.
When Justin reaches the top of the hill, he will have walked three kilometres, and his dog will be half-way up, or a kilometre and a half. Justin then turns around and walks back, but his dog continues walking up the hill until they meet. They will meet at the two kilometre point. The dog will turn around at this point and follow Justin down the hill completing a four kilometre stroll.
Of course he will.Quote:
Originally Posted by 3fingersalute
He just went up 4 spots on the scoring ladder. :D
4kmQuote:
Originally Posted by a d e p t
3ptsQuote:
Originally Posted by 3fingersalute
...even though no explanatin is given, I'm assuming the math is based on solid logic.
When he reaches the top, he has walked 3KM and the dog 1.5KM, he walks 1KM back down the hill and meets the dog, who has now walked 2KM. The god turns around and walks with him, 2KM X 2 = 4KM