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nishantsingh89 (985)

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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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pink_ele (1380)

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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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pink_ele (1380)

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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

nobody is wrong
even a stopped clock is right twice a day
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rajat (284)

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my answer is :
"no such number exists"

light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there
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nishantsingh89 (985)

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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

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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magiclko (4215)

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hey hey... that was my question ...even i hav asked it once

Manasi....
NIT-Allahabad...

............................................................
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magiclko (4215)

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check out this post

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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pink_ele (1380)

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what about the answer i have given. experts please comment.

nobody is wrong
even a stopped clock is right twice a day
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edison (5135)

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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.


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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rajat (284)

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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

light travels the fastest ??? NO
wherever light goes it always finds that darkness has already got there
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umang (229)

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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 !!!

Umang
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rik_mad (267)

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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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rik_mad (267)

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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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