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puzzle of the day
This is a "simple" age problem
One evening in 1932 while sitting on the porch with my grandpa i suddenly remarked that
This year i was as old as the last two digits of my year of birth.
when i told this to my grandpa he astonished me by saying the same applied to him too.
Well that was one hell of a surprise for me...
pray say in 1932:
my age was:_________
implies my year of birth is:________
my grandpa's age was:_________
implies his year of birth was:__________
??? What confused thats why the name is "puzzle"
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating
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Quartz... wrote: my age was:_________
implies my year of birth is:________
my grandpa's age was:_________
implies his year of birth was:__________
16
1916
66
1866
Regards,
Nish
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perfect
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating
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Can You Find
ROOT of a number on a standard calculator
WITHOUT touching the root sign or power sign a power sign also acts like a root sign
and believe me you can
Easy huh! try it ? tell me the EXACT steps
* Easy looking problems are sometimes the most challenging ones
.
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating
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I spent a while trying to figure this out - when you posted this on the Lounge. Could you post the solution here please?
Regards,
Nish
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Hey Nish thats great,
you are a mathematician i always knew that
Here is the solution by using Bakhshali's Formula
sqrt(q) = sqrt(A^2 + b) = A + b/(2A) - (b/(2A))^2/[2(A + b/(2A))]
which comes down to
Sqrt(q) = sqrt(A^2 + b) = A + b/(2A) - (b/(2*A))*(b/(2*A)) / (2*(A + b/(2*A)))
sqrt(41)[^] = 6 + 5/(2*6) - ((5/(2*6))*(5/(2*6)))/(2*(6 + 5/(2*6)))[^]
Mathematical operations used = /, * , + , -
actually i posted the solution that day here[^]
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating
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Given a number, how do you pick values for A and b?
Say you need the square root for 308,197, now what would A and b be in this case?
Thanks.
Regards,
Nish
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Hey Nish
only thing you need to do is divide the number into two parts
Q = (A^2 + b)
the only constraint here is
The Greater the A the better the Bakhshali Formula's result
So in this case if you take A = 550,
because A^2 = 30,2500 < 30,8197
so b = 308197 - 302500 = 5697
sqrt(308197)[^] =
550 + (5 697 / (2 * 550)) - (((5 697 / (2 * 550)) * (5 697 / (2 * 550))) / (2 * (550 + (5 697 / (2 * 550))))) [^]
This is accurate upto 5 decimal places
Even if you take
A = 500 , A ^ 2 = 25,0000 less than 30,8197
b = 58197
sqrt(308197)[^] = 500 + (58 197 / (2 * 500)) - (((58 197 / (2 * 500)) * (58 197 / (2 * 500))) / (2 * (500 + (58 197 / (2 * 500)))))[^]
This is accurate upto 2 decimal places
The Greater the A the better the Formula's result
So, it is simillar to the newton theory of approximation which is a iteration , but its one shot formula and gives much better result if A and b are properly chosen.
it was very recent that i also discovered about this formula and knew about Bakshali's manuscript you won't believe Bakshali's Manuscript were written on a Birch Bark and was found in a village in punjab (Bakshali is the name of the village) in 1881
i was totally amazed by the finding ,here[^] The manuscript is in oxford now
Raj
Omit Needless Words - Strunk, William, Jr.
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Universal DBA | Ajax Rating | ExplorerTree
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Thanks - now I get it
Regards,
Nish
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i am going on the vacation so i thought i will put the solution here
anybody who can dig till here, can post the solution
Question was will the SUM of the following series ever reach 100
SUM of the series: 1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 . . .
(10 to the power 44) - 1 terms. The sum is 100 + 0.891 when n = 10^44
if somebody reaches here , please leave a note
hint for solution : If you add 1 to both sides ; the series becomes 1 + 1/2 + 1/3 + 1/4 + . . .
---
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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you mean infinite is the answer to the question ?
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Shameless selfplug: Universal DBA | Ajax Rating
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Quartz... wrote: you mean infinite is the answer to the question ?
Yes!
"It diverges, albeit slowly, to infinity." --- Harmonic series (Wikipedia)[^].
Maxwell Chen
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Sorry if i got you confused
my question was, Will the SUM of the following series ever reach 100 and at what value ?
1/2 + 1/3 + 1/4 + 1/5 + 1/6 + 1/7 + 1/8 ....
definetly it will diverge to infinity since its sum is increasing
Rule # 17: Omit Needless Words - Strunk, William, Jr.
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Shameless selfplug: Universal DBA | Ajax Rating
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People who are trying to decide whether to create a blog or not go through a thought process much like this:
1. The world sure needs more of ME.
2. Maybe I'll shout more often so that people nearby can experience the joy of knowing my thoughts.
3. No, wait, shouting looks too crazy.
4. I know - I'll write down my daily thoughts and badger people to read them.
5. If only there was a description for this process that doesn't involve the words egomaniac or unnecessary.
6. What? It's called a blog? I'm there!
The blogger's philosophy goes something like this:
Everything that I think about is more fascinating than the crap in your head.
Disclaimer: by scott adams when he first started his blog..
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: I know - I'll write down my daily thoughts and badger people to read them.
Funny, I was just thinking along the same line. Except my thought was how would I prevent people from seeing anything I wrote?
Quartz... wrote: People who are trying to decide whether to create a blog or not go through a thought process much like this:
I use my blog mostly for venting, now that’s not to say its full of rant and rave but there are times when I need to write something down and don’t have VS near to do it. So I blog…
Question is why do you blog?
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
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sfdougl wrote: how would I prevent people from seeing anything I wrote?
why do you want to have a online blog then ! may be go for a private blogspace
sfdougl wrote: Question is why do you blog?
for me i think
=> Its more of an opportunity to connect with like minded people online
=> collect something interesting in a single place online could also be a reason.
sfdougl wrote:
I know - I'll write down my daily thoughts and badger people to read them.
But definetly not this one , for me it should be a very personal place and experience
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: why do you want to have a online blog then ! may be go for a private blogspace
That’s what Im eventually going to do, my server has IIS running already figured why not do some work. The only bad aspect to that is its one more thing that will need to be backed up.
Quartz... wrote: Its more of an opportunity to connect with like minded people online
That's cool and understandable; one thing great about the modern age is the communication infrastructure. Suddenly the planet isn’t such a large place any more. I just don’t have anything interesting to write about.
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
-- modified at 0:14 Tuesday 22nd November, 2005
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sfdougl wrote: I just don’t have anything interesting to write about.
Well i think you do have a lot interesting to write about, you read so many things online,
you learn so many things online , anything which impresses you can be a part of the blog
something which you can come back later and see
"Not everything that counts can be counted..."
-Albert Einstein
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Quartz... wrote: you read so many things online,
you learn so many things online ,
Umm have you been reading over my shoulder? I knew someone was there, damn it I'm going to have to get better locks for the doors. Seriously though that’s why I haunt the message boards attempting to help as I can.
Quartz... wrote: anything which impresses you can be a part of the blog
something which you can come back later and see
That is one nice things about blogs / diaries. They give you a glimpse back in time…
ZeePain! wrote: This seems like one of those programs that started small, grew incrementally, building internal pressure, and finally barfed all over its source code sneakers. Or something.
thedailywtf.com[^]
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If you have a Mysteriously Beautiful problem in maths
please post it here .
I am crazy about Mathematical Problems since the age of 10 and So far i have around
80 Problems which are actually "Impossible" or Mysteriously Beautiful. And the
collection is growing
ciao
"Not everything that counts can be counted..."
-Albert Einstein
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ok i will start, with a hope that somebody will add here...........
FIRST QUESTION i asked in the cp a week before
A PENNY SAVED IS HOW MANY EARNED... ? simple huh !
"Not everything that counts can be counted..."
-Albert Einstein
-- modified at 21:53 Tuesday 22nd November, 2005
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Nothing, its already here.
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Ok , here is a nice math problem :
Suppose we have one room .How many people must must enter the room so that : the probability that at least two of the persons inside are born on the same date , is not less than 0.5 ?
"Success is the ability to go from one failure to another with no loss of enthusiasm." - W.Churchill
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Good old one
well the quick answer is 23
because In a group of 23 people, at least two have the same birthday with the probability higher than 1/2.
because (364/365)·(363/365)·...·(343/365) = .493 and
1 - .493 = .507
does it need any explaination
"Not everything that counts can be counted..."
-Albert Einstein
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