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# Is the number x is divisible by 9? A: The number x can be

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Manager
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Is the number x is divisible by 9? A: The number x can be [#permalink]  29 Sep 2008, 23:01
Is the number x is divisible by 9?
A: The number x can be obtained by taking the difference between a number and another one obtained by reversing the digits.
B: The sum of the digits of x is divisible by 9

My answer was B but OA was A 
Director
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Re: Is the number x is divisible by 9? [#permalink]  29 Sep 2008, 23:40
i think you typed this one up wrong
Director
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Re: Is the number x is divisible by 9? [#permalink]  29 Sep 2008, 23:44
vr4indian wrote:
Is the number x is divisible by 9?
A: The number x can be obtained by taking the difference between a number and another one obtained by reversing the digits.
B: The sum of the digits of x is divisible by 9

My answer was B but OA was A 

A. let a & b be the digits, then 10a+b is one number, and 10b+ a is the revesred number the difference = 9a - 9b = 9(a-b)

Always divisible by 9.
suff

I am not sure why B is wrong though, B may be wrong because we don't know whether x is integer.
Manager
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Re: Is the number x is divisible by 9? [#permalink]  30 Sep 2008, 00:37
I rulled out A because say number is 55 : its reverse will be 55
so 55- 55 =0 ;

0 is divisible by 9?
SVP
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Re: Is the number x is divisible by 9? [#permalink]  30 Sep 2008, 01:13
yes, 0 is divisible by 9.

But, answer should be D. What is the explanation for OA?
Re: Is the number x is divisible by 9?   [#permalink] 30 Sep 2008, 01:13
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