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radhika1306
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PostPosted: Wed Aug 29, 2007 6:38 am    Post subject: 1000 DS Reply with quote
S is a set of integers such that
i) if a is in S, then –a is in S, and
ii) if each of a and b is in S, then ab is in S.
Is –4 in S?
(1) 1 is in S.
(2) 2 is in S.
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agps
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PostPosted: Wed Aug 29, 2007 8:21 am    Post subject: Reply with quote
My guess is B.

-4 would exist if and only if:
4 exists OR ab=4 or -4;

from 1) 1 exists, so -1 exits 1*(-1) = -1 not sufficient
from 2) 2 exists, so -2 exists 2*(-2) = -4, so -4 exists sufficient
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radhika1306
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PostPosted: Thu Aug 30, 2007 12:56 pm    Post subject: Reply with quote
correct thank you
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