Is n<0?
(1) -n=|-n|
(2) n^2=16
OFFICIAL ANSWER : C
Is n<0? (1) -n=|-n| (2) n^2=16
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Hi ziyuenlau,ziyuenlau wrote:Is n<0?
(1) -n=|-n|
(2) n^2=16
OFFICIAL ANSWER : C
The question asks whether n is negative.
Let's take each statement one by one.
S1: -n = |-n|
Case 1: If n = 0, the answer is NO.
Case 2: Since RHS (|-n|) is positive, LHS (-n) must also be positive, thus n must be negative. The answer is YES.
No unique answer. Insufficient.
S2: n^2=16
=> n = 4 or n = -4
n may be positive or negative. No unique answer. Insufficient.
S1 and S2:
From both the statements, we get that n = -4 or n < 0. Sufficient.
The correct answer: C
Hope this helps!
-Jay
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Hi ziyuenlau,
This question can be solved by TESTing VALUES or Number Properties.
We're asked if N is less than 0. This is a YES/NO question.
1) -N = |-N|
Since the 'result' of an absolute value CANNOT be negative, the possible solutions are limited to 0 and anything NEGATIVE.
IF....
N = 0, then the answer to the question is NO.
N = Negative, then the answer to the question is YES.
Fact 1 is INSUFFICIENT
2) N^2 = 16
This question has 2 solutions: +4 and -4
IF....
N = +4, then the answer to the question is NO.
N = -4, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Combined, there's only one solution that fits BOTH Facts: -4 ... and the answer to the question is YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
This question can be solved by TESTing VALUES or Number Properties.
We're asked if N is less than 0. This is a YES/NO question.
1) -N = |-N|
Since the 'result' of an absolute value CANNOT be negative, the possible solutions are limited to 0 and anything NEGATIVE.
IF....
N = 0, then the answer to the question is NO.
N = Negative, then the answer to the question is YES.
Fact 1 is INSUFFICIENT
2) N^2 = 16
This question has 2 solutions: +4 and -4
IF....
N = +4, then the answer to the question is NO.
N = -4, then the answer to the question is YES.
Fact 2 is INSUFFICIENT
Combined, there's only one solution that fits BOTH Facts: -4 ... and the answer to the question is YES.
Combined, SUFFICIENT
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
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We need to determine whether n is less than 0.ziyuenlau wrote:Is n<0?
(1) -n=|-n|
(2) n^2=16
Statement One Alone:
-n = |-n|
Since - n = |-n|, n must be a negative number or 0. For example:
-(-2) = |-2|
2 = 2
and
-0 = |-0|
0 = 0
If n = -2 (or any negative number), then n < 0. However, if n = 0, then n is not less than 0.
Statement one is not sufficient to answer the question.
Statement Two Alone:
n^2 = 16
Since n^2 = 16, n = 4 or n = -4.
Statement two is not sufficient to answer the question.
Statements One and Two Together:
From statement two, we know that n is either 4 or -4. From statement one, we know n is nonpositive. Therefore, n must be -4, and thus it's less than 0. The two statements together are sufficient.
Answer: C
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