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M15#29

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M15#29 [#permalink] New post 06 Oct 2009, 13:53
If in a six-digit integer N , F(k) is the value of the k-th digit, is N divisible by 7 (For example, F(4) is the value of the hundreds digit of N )?

1. F(1) = F(4), F(2) = F(5), F(3) = F(6)
2. F(1) = F(2) = ... = F(6)

(C) 2008 GMAT Club - m15#29

* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient

Statements (1) and (2) by themselves are sufficient. S1 tells us that the last three digits of N are the same as the first three digits: N = abcabc . Note that N = abc*1000 + abc = abc*1001 . As 1001 is divisible by 7, N is also divisible by 7.
The correct answer is D.
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Manager
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Re: M15#29 [#permalink] New post 06 Oct 2009, 13:59
I believe there is an error in this question.

If, as it says, F(4) is the value of the hundreds digit, then F(1) is the value of the decimal digit of N.

Given that N is an integer, then F(1)=0.

F(1)=F(2)=F(3)=F(4)=F(5)=F(6)=0 --> N=0 and it is not a 6 digit integer. This contradicts the question stem.

Or am I missing something?
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Re: M15#29 [#permalink] New post 11 Jan 2012, 04:32
This question somehow doesnt make sense. How can F(4) be hundreds digit? shouldnt it 1000's digit..

Help will be really appreciated!
Thanks!
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Schools: Ross '15 (D), Haas '15 (WL), Tuck '15 (D), Anderson '15 (D), Johnson '15 (WL), Tepper '15 (S)
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Re: M15#29 [#permalink] New post 15 Mar 2013, 23:33
Can some one comment here , Since this figures in the gmatclub tests ?
Re: M15#29   [#permalink] 15 Mar 2013, 23:33
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