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

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Senior Manager
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Joined: 29 Jan 2011
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Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 02:21
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A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

67% (00:44) correct 33% (00:25) wrong based on 30 sessions

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Is d negative?

(1) e + d = -12

(2) e – d < -12


OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/is-d-negative-170061.html
[Reveal] Spoiler: OA

Kudos [?]: 255 [0], given: 87

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Joined: 20 Dec 2010
Posts: 1946

Kudos [?]: 2176 [0], given: 376

Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 03:05
siddhans wrote:
Is d negative?

(1) e + d = -12

(2) e – d < -12


Is d<0?

1. e+d=-12---------------1
e=-12
d=0

OR

d=-12
e=0
d<0
Not Sufficient.

2. e – d < -12-------------------2

d=0
e=-13
OR
d=-1
e=-14
Not Sufficient.

Adding equation 1 & 2;
e+d+e-d<-12-12
2e<-24
e<-12
& e+d=-12
Thus, d>0
Sufficient.

Ans: "C"
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Kudos [?]: 2176 [0], given: 376

Senior Manager
Senior Manager
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Joined: 29 Jan 2011
Posts: 334

Kudos [?]: 255 [0], given: 87

Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 03:14
fluke wrote:
siddhans wrote:
Is d negative?

(1) e + d = -12

(2) e – d < -12


Is d<0?

1. e+d=-12---------------1
e=-12
d=0

OR

d=-12
e=0
d<0
Not Sufficient.

2. e – d < -12-------------------2

d=0
e=-13
OR
d=-1
e=-14
Not Sufficient.

Adding equation 1 & 2;
e+d+e-d<-12-12
2e<-24
e<-12
& e+d=-12
Thus, d>0
Sufficient.

Ans: "C"



if we combine 1 and 2 doesnt it become e+d+e-d<=-12-12(less than equal to)?

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Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 03:26
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KUDOS
siddhans wrote:
if we combine 1 and 2 doesnt it become e+d+e-d<=-12-12(less than equal to)?


x=1
y<2

x+y<2+1
x+y<3 --- x+y can't be equal to 3.

x=-1
y<-2
x+y<-3 --- x+y can't be equal to -3.
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Kudos [?]: 2176 [1], given: 376

Senior Manager
Senior Manager
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Joined: 29 Jan 2011
Posts: 334

Kudos [?]: 255 [0], given: 87

Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 03:28
fluke wrote:
siddhans wrote:
if we combine 1 and 2 doesnt it become e+d+e-d<=-12-12(less than equal to)?


x=1
y<2

x+y<2+1
x+y<3 --- x+y can't be equal to 3.

x=-1
y<-2
x+y<-3 --- x+y can't be equal to -3.

Kudos ;)

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Manager
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Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 22 Jun 2011, 03:51
Good Explanation thx

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Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 27 Jun 2011, 17:02
d<0?

1. Not sufficient

e+d = -12

d = -12-e

d can be greater than 0 , equal to 0 or less than 0

2. Not sufficient

e-d < -12

d > 12+e


d can greater than 0 or less than 0

together,

Sufficient

2d <0
d<0

Answer is C.

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Re: Is d negative? (1) e + d = -12 (2) e d < -12 [#permalink]

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New post 04 Dec 2017, 09:35
siddhans wrote:
Is d negative?

(1) e + d = -12

(2) e – d < -12


Is d negative?

(1) e + d = -12. d can be negative as well as non-negative. For example, consider d=0 and e=-12 and d=-1 and e=-11. Not sufficient.

(2) e – d < -12. d can be negative as well as non-negative. For example, consider d=0 and e=-13 and d=-1 and e=-14. Not sufficient.

(1)+(2) From (1) we have that e = -12 - d, thus from (2) (-12 - d) - d < -12 --> -2d<0 --> d>0. Sufficient.

Answer: C.

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/is-d-negative-170061.html
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Kudos [?]: 139674 [0], given: 12794

Re: Is d negative? (1) e + d = -12 (2) e d < -12   [#permalink] 04 Dec 2017, 09:35
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Is d negative? (1) e + d = -12 (2) e d < -12

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