If in a six-digit integer N
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.
Please kudos if my post helps.