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Set of Numbers

Expert replies

by cameronwu » Sat Jan 02, 2010 4:21 pm
egybs wrote:Wow.. blast from the past! As I said a year and a half ago, before I scored 99th percentile on the gmat, the answer is unambiguously D. In case the old posts are enough of an explanation here it goes again:

The set is going to be infinitely long and will continue increasing positively. Any number that's in the set will also have the same number + 2 (t+2). So if we know that 4 is in the set, 6, 8, 10,12, 14, 16, 18,20, etc, etc, etc are also definitely there.

So if we know that -1 is in the set, we know with certainty that 1,3,5,7,etc are also in the set.

What we don't know is where the trend starts. -1 could be the lowest number, but it could also be -3, or -5, or even -4.. we just don't know where it starts. Therefore, the only thing we can conclude with certainty is that -1,1,3,5,7,9, etc are in the set. So the answer is, once again, unambiguously, D.
^^ this is the exact rationale. This problem has 2 main components. 1) It's an infinite set always increasing by 2, and 2) You can only assume that -1 is the lowest number since it's a MUST question. Starting with -1 yields the narrowest choice, and D is thus, as egybs said, unambiguously correct.
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by lunarpower » Wed Jul 14, 2010 11:27 pm
with statements like this one, it can actually help to take the variables out of the statement and express the statement purely in WORDS.
duke wrote:A set of numbers has the property that for any number t in the set, t + 2 is in the set.
in words:
you can take any number that is there, ADD 2 to it, and the result will also be there.
in other words, you can always go UP by 2.

in particular, note that this statement does not work the other way around -- there is no evidence here that you can subtract 2 from any numbers that you might have.

the only number that we know we have, at the beginning, is -1. therefore, any number that we can get by starting with -1 and ADDING 2 at a time is all good.
I. -3
nope. you'd have to subtract to get this number.
II. 1
III. 5
these are all good.


should be (d).
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by akshitamadhan » Sun Feb 19, 2012 10:18 am
amazing explanation!!!
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