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Is |x| = y - z ? 1. x + y = z 2. x < 0

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Is |x| = y - z ? 1. x + y = z 2. x < 0 [#permalink]

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New post 28 Jan 2009, 08:23
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Is |x| = y - z ?

1. x + y = z
2. x < 0

Kudos [?]: 8 [0], given: 7

Senior Manager
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Joined: 30 Nov 2008
Posts: 485

Kudos [?]: 351 [0], given: 15

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Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 09:02
IMO A.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.

Kudos [?]: 351 [0], given: 15

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Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 10:54
I think, answer should be C.

if x = 2, y = 3 and z = 5, then
from stmt1: 2 + 3 = 5.
Also, |x| = 2
and y - z = -2
Hence, |x| does not equal y - z

Similarly, if x = -2. y = -3 and z = -5
then |x| = 2
y - z = 2

And |x| = y-z.

Thus, in order for|x| = y-z to be true, both statements are required. Hence, C should be the answer.

Kudos [?]: 278 [0], given: 0

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Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 10:58
scthakur wrote:
I think, answer should be C.

if x = 2, y = 3 and z = 5, then
from stmt1: 2 + 3 = 5.
Also, |x| = 2
and y - z = -2
Hence, |x| does not equal y - z

Similarly, if x = -2. y = -3 and z = -5
then |x| = 2
y - z = 2

And |x| = y-z.

Thus, in order for|x| = y-z to be true, both statements are required. Hence, C should be the answer.


OOPS!! missed -ve part.
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Kudos [?]: 1037 [0], given: 5

Senior Manager
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Joined: 30 Nov 2008
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Kudos [?]: 351 [0], given: 15

Schools: Fuqua
Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 12:14
scthakur wrote:
I think, answer should be C.

if x = 2, y = 3 and z = 5, then
from stmt1: 2 + 3 = 5.
Also, |x| = 2
and y - z = -2
Hence, |x| does not equal y - z

Similarly, if x = -2. y = -3 and z = -5
then |x| = 2
y - z = 2

And |x| = y-z.

Thus, in order for|x| = y-z to be true, both statements are required. Hence, C should be the answer.


My weak point in Quant is always DS and in specific it worst when they are related to Absolute values / Inequalities.

Can one of you please explain why my approach is wrong.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.


I know we can solve the DS questions by picking the numbers intelligently. But I am not able to rely on that process 100 %. So looking for alternate approaches on tackling DS questions. :cry:

Kudos [?]: 351 [0], given: 15

SVP
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User avatar
Joined: 07 Nov 2007
Posts: 1795

Kudos [?]: 1037 [0], given: 5

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Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 13:09
mrsmarthi wrote:
scthakur wrote:
I think, answer should be C.

if x = 2, y = 3 and z = 5, then
from stmt1: 2 + 3 = 5.
Also, |x| = 2
and y - z = -2
Hence, |x| does not equal y - z

Similarly, if x = -2. y = -3 and z = -5
then |x| = 2
y - z = 2

And |x| = y-z.

Thus, in order for|x| = y-z to be true, both statements are required. Hence, C should be the answer.


My weak point in Quant is always DS and in specific it worst when they are related to Absolute values / Inequalities.

Can one of you please explain why my approach is wrong.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.


I know we can solve the DS questions by picking the numbers intelligently. But I am not able to rely on that process 100 %. So looking for alternate approaches on tackling DS questions. :cry:




statemet 1:
-X = Y - Z -->
we don't the whether X is +ve or -ve
assume X +ve then X= -Y+Z --> |X|=Z-Y ( answer No)
when x is -ve then -X= Y-Z --> |X|=Y-Z (answer Yes)
so not suffcieint

combine wiht stat2: X<0
it is suffcient.
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Smiling wins more friends than frowning

Kudos [?]: 1037 [0], given: 5

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Re: DS - Number Properties, Absolute Value [#permalink]

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New post 28 Jan 2009, 23:28
x2suresh wrote:
mrsmarthi wrote:
scthakur wrote:
I think, answer should be C.

if x = 2, y = 3 and z = 5, then
from stmt1: 2 + 3 = 5.
Also, |x| = 2
and y - z = -2
Hence, |x| does not equal y - z

Similarly, if x = -2. y = -3 and z = -5
then |x| = 2
y - z = 2

And |x| = y-z.

Thus, in order for|x| = y-z to be true, both statements are required. Hence, C should be the answer.


My weak point in Quant is always DS and in specific it worst when they are related to Absolute values / Inequalities.

Can one of you please explain why my approach is wrong.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.


I know we can solve the DS questions by picking the numbers intelligently. But I am not able to rely on that process 100 %. So looking for alternate approaches on tackling DS questions. :cry:




statemet 1:
-X = Y - Z -->
we don't the whether X is +ve or -ve
assume X +ve then X= -Y+Z --> |X|=Z-Y ( answer No)
when x is -ve then -X= Y-Z --> |X|=Y-Z (answer Yes)
so not suffcieint

combine wiht stat2: X<0
it is suffcient.


Just keep in mind that with absolute values you are usually going to deal with 2 values (+/-)

Kudos [?]: 112 [0], given: 2

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Joined: 17 Jun 2008
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Kudos [?]: 278 [0], given: 0

Re: DS - Number Properties, Absolute Value [#permalink]

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New post 29 Jan 2009, 03:09
mrsmarthi wrote:
My weak point in Quant is always DS and in specific it worst when they are related to Absolute values / Inequalities.

Can one of you please explain why my approach is wrong.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.


I know we can solve the DS questions by picking the numbers intelligently. But I am not able to rely on that process 100 %. So looking for alternate approaches on tackling DS questions. :cry:



What you are missing in the statement highlighted in red is that you are putting the left side in mod but not the right side. If I follow your steps then
|-x| = |y-z|
or, |x| = |y-z|

That is why stmt1 by itself is not sufficient.

Kudos [?]: 278 [0], given: 0

Senior Manager
Senior Manager
avatar
Joined: 30 Nov 2008
Posts: 485

Kudos [?]: 351 [0], given: 15

Schools: Fuqua
Re: DS - Number Properties, Absolute Value [#permalink]

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New post 29 Jan 2009, 15:38
scthakur wrote:
mrsmarthi wrote:
My weak point in Quant is always DS and in specific it worst when they are related to Absolute values / Inequalities.

Can one of you please explain why my approach is wrong.

Stmt 1 - X + Y = Z ==> X = Z - Y or -X = Y - Z ==> |X| = Y-Z. Sufficient.

Stmt 2 - X < 0 but no information related to Y & Z. Insufficient.


I know we can solve the DS questions by picking the numbers intelligently. But I am not able to rely on that process 100 %. So looking for alternate approaches on tackling DS questions. :cry:



What you are missing in the statement highlighted in red is that you are putting the left side in mod but not the right side. If I follow your steps then
|-x| = |y-z|
or, |x| = |y-z|

That is why stmt1 by itself is not sufficient.


yep true.....I missed that. Now I got it. Thank you.

Kudos [?]: 351 [0], given: 15

Re: DS - Number Properties, Absolute Value   [#permalink] 29 Jan 2009, 15:38
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