Wise Men
A king wanted to kick out all the wise men in his land but there was an old law he could not disobey which said there should always be
"Seven blind of both eyes:
Ten blind of one eye:
Five that see with both eyes:
Nine that see with one eye."
So how many wise men did he keep?
"Seven blind of both eyes:
Ten blind of one eye:
Five that see with both eyes:
Nine that see with one eye."
So how many wise men did he keep?
posted by Rajesh Lal at
2:01 AM
35 Comments:
I think he would have really struggled as he would have 10 men who are blind in one eye lined up. Then he would say but we're only allowed 9 that can see out of one eye.
To get round the problem he would need to gouge out the good eye of one of the men who are blind in one eye.
He would then collect 22 men in total (5 that see in both eyes, 7 that are blind in both eyes, and 10 who are blind in one eye - 1 of them not being able to use his other eye)
Then he would fulfil all the criteria.
I think the answer is 12
Nowhere does it actually say that the wise men are the ones being described by the laws, so as long as there are civilians that meet this criteria, he could kick out all the wise men.
Probably not the answer you were going for, but it is one!
it also says he wanted to get rid of the wise MEN, but then the law refers to people as ONES. It would stand to reason then that he could have kicked out all the wise men and met the blind law requirements with women.
I would say 19...
10 blind of both eyes and 9 that see with both eyes.
16
7 blind in both eyes
3 or 4 blind in one eye
5 or 6 that see with both eyes
7 completely blind and 3 blind in one eye complete the first two qualifications.
5 that see with both eyes complete the third qualification and part of the 4th. You would then need to add one to either the one eyed or both eyed people to complete the 4th qualification of 9 people.
Assume staement is re: wise men
Number each statement (topline is *1, bottomis *4)
*1) 7 with 0 eyes
*3) 5 with 2 eyes
*5) = *1+*2) 1 eyes >= 10-7
*5) = *1+*2) 1 eyes >=3
*6) = *4+*3) 1 eyes >= 9-5
*6) = *4+*3) 1 eyes >= 4
*7) = *5+*6) 1 eyes >=4
so from *1, *3, *7
7 with 0 eyes
5 with 2 eyes,
4 with one eye
For 16 wise men
ANSWER:
16
Cam
testing
I still stick by my answer of 16 which Cam confirmed. But I got to thinking. The question does not technically say that these requirements refer to wise men. They are simply inferred by the question itself. So I suppose the answer could be 0 if the blind, half-blind and not blind requirements could be fulfilled by people other than wise men.
And now I see that others already considered my last option. Sorry, I will be quiet now!
My answer is 17
7 of them are blind and 5 of them can see in both eyes so thats 12, add that to the ten that are blind in one eye (disregard the 9 that see with one eye, that rule was covered by this one) and you get 22 would you not?
Seven blind of both eyes:
Ten blind of one eye:
Five that see with both eyes:
Nine that see with one eye.
1 .Five that can see with both eyes.
2. Seven blind in both eyes.
3. Ten blind of one eye (seven of these are also in group 2)
4. Nine that can see with one eye (five are in group 1, the other four are also in group 3)
That makes 5 + 7 + 10 -7 + 9 - 5 - 4 = 15
I am not putting to much faith in my answer. But after a little thought, "Blind in one eye, does not say blind in ONLY one eye, so every one blind in two eyes is also blind in one eye".
Also group 3 and group 4 are almost the same.
Some people with answer less than 15 must have seen additional ovelaps that envade me at this time.
I like what you did Ragknot, but you may want to reconsider #4.
In #3 you take away seven blind in both eye, leaving only three blind in one eye. The three plus the five that can see with both eyes only makes eight able to see with at least one eye. This means you would have to add an additional person with vision in at least one eye to complete the requirement of nine.
This makes the answer 16.
Thanks Hspring, I saw the answers of 16, I thought I might have overlooked some details.
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Hspring?
Is this right now?
http://ragknot.blogspot.com
The criteria for "wise men" has yet to be considered.
Male - Definitely.
Wise - IQ in the top centile????
Once you get rid of some, you are left with the next band automatically in the top centile. The King would eventually have to throw almost everyone out of the country as even the idiots would eventually become the "wise men" of the land.
Leaving 16 people and a blind/half blind king, or not.
Oops.... and a lot of women.
The confusion arises from having 2 categories: sighted and blind. For instance, convert the requirements to 1 category ... I chose sighted.
Converted requirements:
7 sighted 0 eyes
10 sighted 1 eye
5 sighted 2 eyes
9 sighted 1 eye
The 2nd and 4th requirements are identical ... by meeting the requirements of the 2nd we automatically meet those of the
4th.
Therefore, we need:
1st requirement:
Sighted in 0 eyes ------------> 7
3rd requirement:
Sighted in 2 eyes ------------> 5
2nd requirement:
(also meets 4th)
Sighted in 1 eye...requirement
3 gives 5 which are sighted in
at least 1 eye ... thus we need
5 more ----------------------> 5
Total Wise Men needed --------> 17
Clever Zaux, but there is one small flaw in your calculation. Choosing only sighted or blind to perform the calculation is what causes line 2 to seem to cover line 4. In reality line two can overlap lines 1 and 4, while line four can overlap lines 2 and 3.
The answer is 16. That is, of course, if these rules even apply to wisemen.....
Common sence tells me three of the wise there must be.
all that were blind will eventually see with the arrival of three.
I agree with 16. 7 fully blind, 5 fully sighted and 4 half-blind. That obviously assumes that "at least" rules are used. If "exactly" is used, then the answer is 31.
the answer is 15 wise men..
Mohit
I think the answer is 13!
I think the answer is 21 but i may be wrong
none
Reno, NV the Biggest Little Casio City in the World!!!
Must Keep:
7 blind 2eyes
5 can see 2eyes
10 blind 1 eye, with include the 9 can see 1 eye
7+5+10=
The king kicked out all but 22 from the kingdom that will always remain
The Answer is 16
7 completly blind
5 that are not blind
4 that can see with 1 eye
lol since when do u need eyes to be wise?
Stephane, the question deals with wise men with two, one and no (working) eyes.
Wise men
W EYES men
My answer is 10 because the king only needed 10 people to cover his max requirement.
1. 7 blind 2 eyes
2. 10 blind 1 eye
3. 5 sighted 2 eyes
4. 9 sighted 1 eye
-Take 10 wisemen and ask 7 to close their eyes = Req.1 7 blind in both eyes
-Now ask all 10 to close only 1 eye = Req.2 10 blind in 1 eye
-Now ask 5 to close their eyes while the other 5 open their eyes = Req.3 5 sighted with 2 eyes
-Lastly, ask 9 wisemen to close only 1 eye = Req.4 9 sighted with 1 eye
My answer is 10.
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