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  Discussion about math, puzzles, games and fun.   Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ -¹ ² ³ °

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#651 Re: Puzzles and Games » Brain Teasers » 2008-07-26 06:50:12

Hey Jane! We ended up answering the question almost at the same instant!?
However,

was different! kiss

#652 Re: Puzzles and Games » Brain Teasers » 2008-07-26 06:36:59

mathsyperson wrote:

The bracketed part of my answer is still right though.

smile:):D:D:):)

#654 Re: Puzzles and Games » Ciphers » 2008-07-26 05:20:57

careless25 wrote:

You're right!
Actually, i was so much so involved that couldn't notice that!
Thanks!
And i stay in Pune and am quite safe.. Wish you all the very best too!
May god bless us all...

#655 Re: Puzzles and Games » Ciphers » 2008-07-26 05:11:46

careless25 wrote:

If you could decipher the message u can also decipher the name.

if you look at the puzzle closely, you'll notice that the code 'J' in the 'name' part doesn't have any clue in the 'quote' part and i didn't want to misspell the name of the president of any country...

#656 Re: Puzzles and Games » Ciphers » 2008-07-26 04:43:30

careless25.. You're being CARELESS about the 'serial number' of the question which can make it difficult to answer them sequentially!?
dunno
However, i too took help from google but only to know the name of the author of the quote (how may i know that name as i'm an Indian?) big_smile

#657 Re: Puzzles and Games » Ciphers » 2008-07-26 04:38:50

careless25 wrote:

1)
WXFML LBH LTCH PH LBTDV PH YWD CWVH HDZK CHHL, KFCHXFZS CFNHK LBH HDZK. - BHJXHJL BFFNHJ, 31KL MK GJHKTZHDL
NO MORE HINTS!!!!

#658 Re: Puzzles and Games » Brain Teasers » 2008-07-26 02:51:43

mathsyperson wrote:

I hope you're joking!
tongue

#661 Re: Puzzles and Games » Ciphers » 2008-07-25 07:51:10

Google???
Tht's cheating Jane! But at least you've been honest!!
But this one was to be "DECIPHERED" and that way it would have been more interesting!!!
Tehnology makes people Lazy!!!
tongue

#662 Re: Exercises » Without use of any calculator » 2008-07-25 03:26:26

up
Kya baat hai!!?
That's a nice smiley too by the way!

#663 Re: Puzzles and Games » Find all pairs » 2008-07-23 22:58:51

Impressive work.. mathsyperson!
I'd please like to know "what logic did you apply to start with"??

#664 Re: Puzzles and Games » Determine » 2008-07-22 07:30:54

I understand that there's nothing so TECHNICAL about this method of mine..
Its just simple logic being put into the problem to guess/reduce the possible values of a, b, c & d and then verifying the final value!
I wonder if there's a more DIRECT method!?

From above, a possible value of

#665 Re: Puzzles and Games » Determine » 2008-07-22 07:14:25

Now, if we select

then we get
which doesn't hold for any prime
&
!
The same is true for
too!
But, for
, we get
which is satisfied for
!

Finally..

are the numbers we're looking for and we can find the value of the required expression!

#666 Re: Puzzles and Games » Determine » 2008-07-22 06:53:25

I've found one possible answer and i wonder if there are others too..


or

with
being the greatest of all!

Now..

means that
should be somewhere around
!
using the first set of inequalities, we notice that
can be somewhere round 17 which finally lets us conclude that
may either be 7 or 5 giving possible values of
as 3 or 2 !

#667 Re: Jai Ganesh's Puzzles » Number Theory » 2008-07-22 02:06:30

Ooops!
Sorry.. Forgot to include a '2' in the answer above!

In general.. If any number

where a, b, c etc are Prime, then the 'Total Number of Factors' is given by

Now.. Write 45 as a product of as many numbers as possible (simply put PRIME)
45=3*3*5
which gives
p+1=3 => p=2
q+1=3 => q=2
r+1=5 => r=4
So we may have only (any) THREE values of a, b & c!
Thus we may have Max of THREE PRIME factors!

#669 Re: Jai Ganesh's Puzzles » Number Theory » 2008-07-21 23:05:43

Hi BumBumBhole!
From India haan?
Well.. Me too!
Jai Shiv Shankar!

Coming to the point..
Minimum number of squares will be needed if their size is maximum!
So required size of the squares is the square with sides of length which is HCF of 870cm & 638cm i.e. 29cm !
And number of squares is area of floor divided by area of tile..
=(870*638)/(29*29)
=330

Easy! Ain't it?

#670 Re: Jai Ganesh's Puzzles » Number Theory » 2008-07-21 14:59:00

If upon dividing 698 and 450, the divisor leaves remainders 9 and 8 respectively then it Must divide (698-9=689) and (450-8=442)!
Therefore, the required number is HCF of (689=13*53) and (442=2*13*17) which clearly is 13 !
Hence 13 is the answer...

#671 Re: This is Cool » Zero !!! » 2008-07-21 14:36:00

That was a really Cool (and obviously very Patient) answer!
Thanks!
Love you MathsIsFun!

No joke: There r two kinda people..
Those who know a lot and are satisfied & those who know less but are eager to learn more and more...!
Who's better?

Keep smiling everyone!
It adds to your beauty...
Regards!

#672 Re: This is Cool » Zero !!! » 2008-07-21 08:53:06

Ricky wrote:

Really?  Because I can't.  Those two things mean exactly the same, yet you are saying one is not defined and one is infinity.

oh! What i really wanted to say was.. 'difference between . . . and limit x tends to 0 of 1\x' !
These things are different.. Right??
Well.. Now i see the point of such a nasty debate! Our 'x' is getting closer and closer to 0 but can't equal 0 !
Is it a kind of Asymptote?!

#673 Re: This is Cool » Zero !!! » 2008-07-21 07:19:05

From the above discussions, all that i can make out is that 'limit x tends to infinity of 1\x' is different from 1\infinity !
But in the evaluation of certain integrals, involving infinity as one of the limits, one has to make use of such things as x^-infinity=0 or likewise.
However, one may say that this again involves 'limits' which is usually omitted during writing...

#674 Re: This is Cool » Zero !!! » 2008-07-21 06:59:14

I can see the difference between saying 'to divide by 0 (which is NOT DEFINED)' and to just say 1/0 equals infinity!

#675 Re: This is Cool » Zero !!! » 2008-07-21 04:22:44

Above ideas bout Zero are nonetheless but an obscure thought!
Moreover, to say, division by 0 is infinity is at least 'ACCEPTABLE' and is definitely used in many calculations in engg, though has disambiguations!
See wiki 'Division by Zero' for more...!

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