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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Feb 2007 16:52:54 IST
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a natural number n is such that if the left most digit of the number is removed its value becomes n/57, then what is the sum of digits of this number???
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The heights which great men reached and kept, Were not attained by sudden flight, They, whilst their companions slept, Were toiling upwards in the night.... |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Feb 2007 22:46:12 IST
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let the no. obtained by ommiting the digit be x then 57x=(let)abcdef........ (i) X=bcdef......... (ii) Subtracting (ii) from (i) 56x=a000000000000000....(no.of digits in number) X=a0000000000000/56 For x to be an integer a=7and no of digits greter than 4 x=7000.... 57x=399000......... Depends on no of digits Hope this is correct 
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even a stopped clock is right twice a day |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Feb 2007 22:47:49 IST
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let the no. obtained by ommiting the digit be x then 57x=(let)abcdef????. (i) X=bcdef??????.. (ii) Subtracting (ii) from (i) 56x=a000000000000000??..(noif digits in no) X=a0000000000000/56 For x to be an integer a=7and no of digits greter than 4 x=7000???. 57x=399000???????.. Depends on no of digits Hope this is correct
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even a stopped clock is right twice a day |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 23 Feb 2007 23:04:36 IST
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my answer is : "no such number exists"
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light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 12:26:50 IST
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no there is such a number ,
let me give you the options to make things simpler
a) 15
b)18
c) 24
d) 30
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The heights which great men reached and kept, Were not attained by sudden flight, They, whilst their companions slept, Were toiling upwards in the night.... |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 12:58:01 IST
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hey hey... that was my question ...even i hav asked it once
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Manasi....
NIT-Allahabad...
............................................................
Challenges are High, Dreams r New..
The World out thr is waiting for U !!
Dare to dream, Dare to Try..
No Goal is distant, no Star is too high !!! |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 12:58:54 IST
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check out this post
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Manasi....
NIT-Allahabad...
............................................................
Challenges are High, Dreams r New..
The World out thr is waiting for U !!
Dare to dream, Dare to Try..
No Goal is distant, no Star is too high !!! |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 16:42:52 IST
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what about the answer i have given. experts please comment.
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nobody is wrong
even a stopped clock is right twice a day |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 16:57:24 IST
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Hi pink_ele You have nicely put ur brain but with the results i found some discrepancy as u obtained x=7000???. 57x=399000???????.. now read the question it says a natural number n is such that if the left most digit of the number is removed its value becomes n/57, then what is the sum of digits of this number??? Now if u drop the leftmost digit from the number which is 57x = 399000...??? it becomes 990000......... which is not equal to x = 7000???? anyways good attempt keep it up at the same time to nishantsingh89 i am trying out its solution.
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The Scientist does not study nature because it is useful; he studies it because he delights in it, & he delights in it because it is beautiful. If nature were not beautiful, it would not be worth knowing, life would not be worth living. Ofcourse I do not here speak of that beauty that strikes the senses, the beauty of qualities & appearances; not that I undervalue such beauty, far from it, but it has nothing to do with science; I mean that profounder beauty which comes from the harmoniuos order of the parts, & which a pure intelligence can grasp. |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 17:06:09 IST
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may be i have not understood your question properly.because i am a bit doubtfull about my interpretation of the statement "its value becomes n/57" but if you take each of the numbers given and apply to it the condition ,none of the options seem to satisfy it for example take n=15 .remove the leftmost digit i.e 1 then its valur becomes 5 which is not equal to n/57 i.e 15/57 same hold true for other options as well. so plzz. reply if i am making a mistake anywhere
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light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 17:36:32 IST
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Hey ! just see manasi's post . The experts hav given many such numbers , and the sum will be diff. for different numbers . So , there will be many answers !!!
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Umang |
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 22:00:49 IST
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i finally got the answer after half an hour of time waste
the number is 7125 and the sum as u wud have guessed is
7 + 1 + 2 + 5 = 15.
Enjoy
this question does not require any knowledge of formulae. just logic.
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 22:01:55 IST
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there is one and only one answer dude.... the numbers given 157,257 etc in manasi's post do not give an integer on dividing by 57
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![[Post New]](/templates/default/images/icon_minipost_new.gif) 24 Feb 2007 22:15:40 IST
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