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The tens digit of positive integer X is 3...

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by moonlite » Thu Oct 02, 2008 12:43 pm
The tens digit of positive integer X is 3. Is the units digit of X greater than 4?
(1) The units digit of 2X is less than the units digit of X.
(2) The tens digit of 2X is 7.


Pls explain. Thanks.


D
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Source: — Data Sufficiency |
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by Toph@GMAT_REBOOT » Thu Oct 02, 2008 12:54 pm
I think it's D (is that the OA?).

Statement 1:
For the units digit of 2X to be less than the units digit of X, then the units digit has to be between 5 and 9, inclusive. So The units digit has to be greater than 4. (if it's 0, then we get the same units digit, so that doesn't fit either).

Sufficient.

Statement 2:

If the tens digit moves from 3 to 7 when we multiply X by 2, then X must be between 35 and 39, inclusive. So the units digit of X (aka 3_) must be greater than 4.

Sufficient.
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by moonlite » Thu Oct 02, 2008 1:02 pm
Thanks, D is the OA
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