Hi all,
Can someone please help explain this problem?
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
Stmt 1 is insufficient because 1 has nothing to do with -4 as the stmt does not provide any clues based on the 2 criteria above.
Stmt 2 is also insufficient because in order for -4 to be in S, either 4 (which fits the first criterion) or both 2 & -2 (which fits the second criteron) would need to be in S. Since stmt 2 only tells me that 2 is in S, but we don't know if -2 is also in S, why is the answer B?
Can someone please help explain this problem?
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
Stmt 1 is insufficient because 1 has nothing to do with -4 as the stmt does not provide any clues based on the 2 criteria above.
Stmt 2 is also insufficient because in order for -4 to be in S, either 4 (which fits the first criterion) or both 2 & -2 (which fits the second criteron) would need to be in S. Since stmt 2 only tells me that 2 is in S, but we don't know if -2 is also in S, why is the answer B?
