If x and n are integers is the sum of x and n less than zero : GMAT Data Sufficiency (DS)
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# If x and n are integers is the sum of x and n less than zero

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If x and n are integers is the sum of x and n less than zero [#permalink]

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19 Feb 2012, 04:29
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If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1
(2) -10x > 10n
[Reveal] Spoiler: OA

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19 Feb 2012, 04:41
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If x and n are integers, is the sum of x and n less than zero?

Question: is x+n<0?

(1) x + 3 < n – 1 --> x-n<-4. Plugging numbers is probably the best way to prove that this statement is not sufficient: x=0 and n=5 then the answer is NO but if x=-5 and n=0 then the answer is YES. Not sufficient.

(2) -10x > 10n --> 10x+10n<0 --> reduce by 10: x+n<0, hence the answer to the question is YES. Sufficient.

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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

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21 Feb 2012, 04:06
+1 B

Almost choose E
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If x and n are integers, is the sum of x and n less than [#permalink]

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01 Jun 2012, 13:59
[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]
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Re: If x and n are integers, is the sum of x and n less than [#permalink]

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02 Jun 2012, 03:22
Using statement 1, x < n-4. x+n can thus be <0 if x and n are both <0 or it can be >0 if x and n are both >0. Insufficient.

Using statement 2, -2x>2n
=> x<-n
=> x+n<0. Sufficient.

B it is.
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Re: If x and n are integers, is the sum of x and n less than [#permalink]

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02 Jun 2012, 05:03
BDSunDevil wrote:
[Searched, but unable to find the post]

If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1

(2) -2x > 2n

[Can we deal statement 1 without plugging number?]

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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

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05 Jun 2012, 03:54
Thanks Bunel for the solution.
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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

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16 Sep 2014, 03:09
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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

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07 Mar 2016, 22:38
dvinoth86 wrote:
If x and n are integers, is the sum of x and n less than zero?

(1) x + 3 < n – 1
(2) -10x > 10n

Statement 1 can be rejected here as there is no way we can get a +ve relation from a -ve one..
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Re: If x and n are integers is the sum of x and n less than zero [#permalink]

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13 Mar 2016, 08:11
Clearly statement 1 is sufficient
As far as statement 1 goes => there is no way we can convert a - relation to a + one..
Hence B is sufficient
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Mock Test -1 (Integer Properties Basic Quiz) ---> http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1676182

Mock Test -2 (Integer Properties Advanced Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1765951

Mock Test -2 (Evens and Odds Basic Quiz) --->http://gmatclub.com/forum/stonecold-s-mock-test-217160.html#p1768023

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Re: If x and n are integers is the sum of x and n less than zero   [#permalink] 13 Mar 2016, 08:11
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