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# For all positive integers n, /n/ is defined as the number

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For all positive integers n, /n/ is defined as the number [#permalink]

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16 Nov 2006, 08:33
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For all positive integers n, /n/ is defined as the number that results when the digits of n are written in reverse order. For example, /27/=72 and /720/=27. What is the sum of the digits of x?

(1) x+/x/=1211
(2) //x//=x

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16 Nov 2006, 10:04
since numbers are all positive...
then all i need to do is try single digit numbers that sums add to 11

3 + 8=11 try that number doesnt add to 1211 but rather 1221..

so picked 4 & 7

4 X 7
7 x 4
now if x=5..then we get 1211...

so does n= 952; sum equal 16

statement 2) jus repeats the stem

A it is.

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16 Nov 2006, 12:11
Getting E

st1 is not suf
655 , 556 or 259 or 952
st2 is not suf, the reverse function of both are true

ex if n=655, f(n)=556, ff(n)=665
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16 Nov 2006, 13:45
655, 556 or 952 all add up to a sum of 16...

ugo_castelo wrote:
Getting E

st1 is not suf
655 , 556 or 259 or 952
st2 is not suf, the reverse function of both are true

ex if n=655, f(n)=556, ff(n)=665

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17 Nov 2006, 07:28
choice 1.

sum of a digitt an it's reverse should be divisible by 11.
1211 is not div by 11.so it means that there is a zero at the end of the no...
and icant think of a no that has a zero and satisfies the baove number(1211)

closest i could think was 1120..
1120+211=1331..

insufficient.

choice 2.

//x// = x holds only if there is no zero at the end of that no...
since there can be diferent combinations of oter no..
so this choice is also insufficient..

together also not sufficient.

Choice E as per me.

can somebody show a more definite way of tackling such problems???

kevincan wrote:
For all positive integers n, /n/ is defined as the number that results when the digits of n are written in reverse order. For example, /27/=72 and /720/=27. What is the sum of the digits of x?

(1) x+/x/=1211
(2) //x//=x

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17 Nov 2006, 08:56
kevincan,

The question does not ask you to find the number. It just asks you to find the sum of the digits.

So, the answer is A because both the numbers you got have the same sum of digits.

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17 Nov 2006, 13:05
Yes , the answer should be A. I read too fast , it asked the sum, not X
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17 Nov 2006, 15:40
I still cannot figure it out, more explanation please.

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17 Nov 2006, 15:40
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