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Hey Jane! We ended up answering the question almost at the same instant!?
However, was different!
The bracketed part of my answer is still right though.
:):D:D:):)
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...
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...
careless25.. You're being CARELESS about the 'serial number' of the question which can make it difficult to answer them sequentially!?
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?)
1)
WXFML LBH LTCH PH LBTDV PH YWD CWVH HDZK CHHL, KFCHXFZS CFNHK LBH HDZK. - BHJXHJL BFFNHJ, 31KL MK GJHKTZHDL
NO MORE HINTS!!!!
I hope you're joking!
That's
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!!!
Kya baat hai!!?
That's a nice smiley too by the way!
Impressive work.. mathsyperson!
I'd please like to know "what logic did you apply to start with"??
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
Now, if we select
then we get which doesn't hold for any prime & !Finally..
are the numbers we're looking for and we can find the value of the required expression!I've found one possible answer and i wonder if there are others too..
Now..
Ooops!
Sorry.. Forgot to include a '2' in the answer above!
In general.. If any number
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!
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?
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...
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!
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?!
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...
I can see the difference between saying 'to divide by 0 (which is NOT DEFINED)' and to just say 1/0 equals infinity!
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...!