Fake Records
The Director of Medical Services was on his annual visit to the EENT hospital. He came across the following data for a particular day:
Ear consultations 45; Nose 50; Throat 70; Ear and Nose 30; Nose and Throat 20; Ear and Throat 30; Ear Nose and Throat 10; Total patients 100.
He became very curious and after sometime he commented, "It is no use filling up these registers just before my inspection. You are aware why we maintain these records, and such mistakes cannot occur if these entries are made everyday".
"Sir, I don't think there is anything wrong with the records" replied the Doctor in-charge.
What do you think ?
Ear consultations 45; Nose 50; Throat 70; Ear and Nose 30; Nose and Throat 20; Ear and Throat 30; Ear Nose and Throat 10; Total patients 100.
He became very curious and after sometime he commented, "It is no use filling up these registers just before my inspection. You are aware why we maintain these records, and such mistakes cannot occur if these entries are made everyday".
"Sir, I don't think there is anything wrong with the records" replied the Doctor in-charge.
What do you think ?
Labels: friday special, puzzle, thinktank
posted by Rajesh Lal at
8:07 AM
27 Comments:
I went backwards...
10 people ENT
30 ET - 10 ENT = 20 just ET
20 NT - 10 ENT = 10 just NT
30 EN - 10 ENT = 20 just EN
70 T - 10ENT - 20 ET - 10 NT = 30 just T
50 N - 10 ENT - 10 NT - 20 EN = 10 just N
Right here is 100 patients, and 50 of them had ear consultations where the record says 45. So I'd say the record is wrong and the director is right.
I think the doctor is right :
EN - 30 PEOPLE
NT - 20 PEOPLE
ET - 30 PEOPLE
ENT - 10 PEOPLE
JUST THROAT 10 PEOPLE
TOTAL = 100
I found the same result as gbusman. The Director is right. I used a simple graph of 3 overlapping circles. Start with the middle section (all three circles) and try to fill out the populations.
With this graph is is clear the ear consults have to be a minimum of 50 patients. Thus, the doctor lied.
I think...
...if Rajesh is able to come out with a new puzzle every day, he should be posting the long-overdue solutions to the old ones BUT THAT'S JUST ME.
Also I think the director is having an affair with the doctor.
i'm thinking WTF?
Long due Solutions will be coming this weekend ! hang on guys
it could be any answer maybe the doctor had mor than one person come back that day, it says ear consultations, not patients that had ear problesms
wow eric, you definitely could be right with that. I had done the math and come up with the same answer as gbusman, but your perspective does leave the puzzle lacking in the info department. Touche' salesman.
umm what salesman are you talking about?
even if a patent came back it would still have to be recorded and would not explane the defficet of 5 ear consultations
I think that the records are wrong ...or right ;-)
The records are wrong. The number of ear consultations is missing 5 patients/consultations.
But if you look at what the director said "such mistakes cannot occur if these entries are made everyday", the records could be interpretated as right. Even if mistakes are made, you are still able to recover the correct number of consultations (in some cases). So the system the doc is using is somehow an error correcting code ;-)
1) records
ENT -> 10
EN -> 30
ET -> 30
NT -> 20
E -> 45
N -> 50
T -> 70
2) real consultations
ENT -> 10
EN -> 30 - ENT -> 20
ET -> 30 - ENT -> 20
NT -> 20 - ENT -> 10
N -> 50 - ENT - EN - NT -> 10
T -> 70 - ENT - ET - NT -> 30
E -> 45 - ENT - EN - ET -> -5
i would like to post a problem. how do i do that?
where do u come up with these problems??
Paulina, you can send me the question at connectrajesh[at]hotmail[dot]com
With all of the emphasis on ears noses and throats... the Doc messed up... he was soo concerned with the numbers he totally forgot that he had to add the percentage of ppl with eye problems. hence the name of the hospital EENT.
there is repeat people
So, Rajesh...what happened with those answers?
I think all of you guys are wrong because if you add
45
50
70
30
20
30
10
you get 225 and if you divide it by 7 because you have 7 numbers then you get 32.14 and thats not 100. But just to let you all know, I didn`t drop out of school like most of you did so I KNOW mine is right but, if you want to argue about this, take it up with my professer!
Samuel, i was dead busy this week so could not post old due solutions but will do very soon.
<[...]but, if you want to argue about this, take it up with my professer!>
YMMD! :-D
Hey, just leave his contact information. I really think, someone urgently needs to talk to your professor (or even professer ;-).
I would but he doesn`t give anything out about him to his students so thats too bad!
ears 70
nose 60
throat 60. the first totals are incorrect but the 100 patients is correct as the doctor didn't list the 10 seen for throat only = 100
how about that answer, doc?
I guess what I don't understand is how Rajesh can find the time to think up and post new puzzles and (clearly) responses to irate obsessive fans of the site, yet somehow is just...too...busy...to scroll through four threads from the previous week (or in the case of a new month, the 4 or 5 fridays of the previous month) and post
"ANSWER:
--------
20lbs./2 oranges/the word 'goat' has only one syllable.
GOT RIGHT:
---------
Everyone who got it right. You know who you are."
I mean really, it seems like THAT'S the quick and easy part.
Samuel thanks for your message !
The easy part is the answer but more important IMO is to give right credit to all those who took the time, tried and solved it correctly . Going through all the replies and finding out the right ones takes good amount of time.
I will try to post long due "Friday special" solutions very soon. Hang on there
If 45 people had Ear problems, how come 70 people had both Ear and one or more other problems? Similarly if 50 people had Nose problems, there couldn't be 60 with Nose and other problems.
IMO the director is correct - there are 35 people not accounted for in Ear & Nose figures
I Used a VENN diagram to solve this one.
The director is right. There are 5 missing people off the ear register.
not sure how to upload the venn diagram but easy enough to create it youself
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