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manhattan divisibility

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by resilient » Tue Mar 04, 2008 8:26 pm
Q and R denote the nonzero digits of a three digit number QRR. Is QRR divisible by 3?

1. RR is divisible by 6
2. RR is divisible by 2


qa is E
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Re: manhattan divisibility

by Stuart@KaplanGMAT » Tue Mar 04, 2008 10:07 pm
Enginpasa1 wrote:Q and R denote the nonzero digits of a three digit number QRR. Is QRR divisible by 3?

1. RR is divisible by 6
2. RR is divisible by 2


qa is E
(1) If RR is divisible by 6, it has to be 66. However, we have no clue what Q is, so QRR could be 366, which is divisible by 3, or 166, which isn't: insufficient.

(2) If RR is divisible by 2, it could again be 66. As we saw in statement (1), QRR may or may not be divisible by 3: insufficient.

Combined: RR could still be 66 and, as we've already seen, that's not enough info: choose (e).
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