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# Is d negative? 1) e + d = -12 2) e-d < -12

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Intern
Joined: 20 Jun 2019
Posts: 28
Location: United States (DC)
Schools: UVA Darden
GPA: 3.4
WE: Sales (Computer Software)
Is d negative? 1) e + d = -12 2) e-d < -12  [#permalink]

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12 Nov 2019, 05:52
00:00

Difficulty:

45% (medium)

Question Stats:

67% (01:45) correct 33% (00:30) wrong based on 6 sessions

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Is $$d$$ negative?

1) $$e+d=-12$$
2) $$e-d<-12$$
Intern
Joined: 20 Jun 2019
Posts: 28
Location: United States (DC)
Schools: UVA Darden
GPA: 3.4
WE: Sales (Computer Software)
Re: Is d negative? 1) e + d = -12 2) e-d < -12  [#permalink]

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12 Nov 2019, 05:54

(1) INSUFFICIENT: When two numbers sum to a negative value, we have two possibilities:

Possibility A: Both values are negative (e.g., e = -4 and d = -8)
Possibility B: One value is negative and the other is positive.(e.g., e = -15 and d = 3).

(2) INSUFFICIENT: When the difference of two numbers produces a negative value, we have three possibilities:

Possibility A: Both values are negative (e.g., e = -20 and d = -3)
Possibility B: One value is negative and the other is positive (e.g., e = -20 and d = 3).
Possibility C: Both values are positive (e.g., e = 20 and d = 30)

(1) AND (2) SUFFICIENT: When d is ADDED to e, the result (-12) is greater than when d is SUBTRACTED from e. This is only possible if d is a positive value. If d were a negative value than adding d to a number would produce a smaller value than subtracting d from that number (since a double negative produces a positive). You can test numbers to see that d must be positive and so we can definitively answer the question using both statements. "

Any types/ shortcuts for this question and/or positive/Negatives questions in general? I tend to spend way too much time on these questions.
Math Expert
Joined: 02 Sep 2009
Posts: 59587
Re: Is d negative? 1) e + d = -12 2) e-d < -12  [#permalink]

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12 Nov 2019, 05:57
whollymoses wrote:
Is $$d$$ negative?

1) $$e+d=-12$$
2) $$e-d<-12$$

Discussed here: https://gmatclub.com/forum/is-d-negative-170061.html

THE TOPIC IS LOCKED AND ARCHIVED.
_________________
Re: Is d negative? 1) e + d = -12 2) e-d < -12   [#permalink] 12 Nov 2019, 05:57
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