Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized for You
we will pick new questions that match your level based on your Timer History
Track Your Progress
every week, we’ll send you an estimated GMAT score based on your performance
Practice Pays
we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:
Official Answer and Stats are available only to registered users. Register/Login.
_________________
Encourage me by pressing the KUDOS if you find my post to be helpful.
Help me win "The One Thing You Wish You Knew - GMAT Club Contest" http://gmatclub.com/forum/the-one-thing-you-wish-you-knew-gmat-club-contest-140358.html#p1130989
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
19 Feb 2012, 05:41
4
2
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.
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
13 Mar 2016, 09:11
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
_________________
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
21 May 2017, 19:44
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: We know here that x+3 < n-1. Via algebra, we can determine that x-n < -4. But we don't know if x+n is greater than or less than zero (or equal to zero).
X = 10 N = 14
X+N > 0
X-N = -4
Or x = -4 n = 0
X+N < 0 X-N = -4
Statement 2: Here we know that -2x > 2n. The secret hidden trick here is to add one term to the other side. So we can quickly find that -x>n and then 0>n+x. The problem tried to hide it from us by making us first divide out the two and leading us to making a ratio. But addition is the ultimate step.
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
21 May 2017, 20:00
Bunuel wrote:
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.
Answer: B.
Why B alone is sufficient? Because if x and n are zero than it is equal to zero which is not less than zero. So B alone is not sufficient.
If we combine both than two statements contradict each other.
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
21 May 2017, 20:05
goalMBA1990 wrote:
Bunuel wrote:
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.
Answer: B.
Why B alone is sufficient? Because if x and n are zero than it is equal to zero which is not less than zero. So B alone is not sufficient.
If we combine both than two statements contradict each other.
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
21 May 2017, 20:08
Bunuel wrote:
goalMBA1990 wrote:
Bunuel wrote:
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.
Answer: B.
Why B alone is sufficient? Because if x and n are zero than it is equal to zero which is not less than zero. So B alone is not sufficient.
If we combine both than two statements contradict each other.
Re: If x and n are integers is the sum of x and n less than zero
[#permalink]
Show Tags
29 Mar 2018, 16:23
Top Contributor
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
Target question:Is x + n < 0?
Given: x and n are integers
Statement 1: x + 3 < n – 1 Add 1 to both sides to get: x + 4 < n In other words, n is GREATER than 4 more than x There are several values of x and n that satisfy this condition. Here are two: Case a: x = 1 and n = 6, in which case x + n = 7. In this case, x + n > 0 Case b: x = -10 and n = 0, in which case x + n = -10. In this case, x + n < 0 Since we cannot answer the target question with certainty, statement 1 is NOT SUFFICIENT
Statement 2: -10x > 10n Add 10x to both sides to get: 0 > 10x + 10n Divide both sides by 10 to get: 0 > x + n. PERFECT! This is precisely what the target question is asking. Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer = B
RELATED VIDEO
_________________
Brent Hanneson – GMATPrepNow.com Sign up for our freeQuestion of the Dayemails
gmatclubot
Re: If x and n are integers is the sum of x and n less than zero &nbs
[#permalink]
29 Mar 2018, 16:23
close
69% (00:51) correct 
