GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 17 Nov 2019, 23:06 ### GMAT Club Daily Prep

#### 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

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.  # If a and b are nonzero numbers on the number line, is 0 between a and

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 59095
If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

### Show Tags 00:00

Difficulty:   35% (medium)

Question Stats: 76% (01:58) correct 24% (02:16) wrong based on 46 sessions

### HideShow timer Statistics

If a and b are nonzero numbers on the number line, is 0 between a and b ?

(1) The distance between 0 and a is greater than the distance between 0 and b.
(2) The sum of the distances between 0 and a and between 0 and b is greater than the distance between 0 and the sum a + b.

_________________
Senior Manager  G
Joined: 25 Jul 2018
Posts: 343
Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

### Show Tags

a,b — nonzero numbers in the number line.
Is 0 between a and b?
—> a<0 and b>0???

(Statement1):
the distance of 0a > the distance of 0b
—> a= 5, b= 3 —> 5>3 (No)
—> a=—3, b= 2 —> 0a=3, 0b=2 —> 0a> 0b (Yes)
Insufficient

(Statement2):
—> the sum of 0a and 0b > 0(a+b)

If a=3 and b=5, then 0a+0b> 0(a+b)
—> 5+3> 8 —> it does not get an exact match for (stat2)

If a=—3 and b=—5, then 0a+0b> 0(a+b)—> 3+5> 8 ( it is the same thing)

If a=—3 and b= 5, then 0a+0b> 0(a+b) —> 3+5> —3+5
8> 2 ( correct)
—> a< 0 and b>0 ( always Yes)
Sufficient

Posted from my mobile device
Intern  B
Joined: 14 Sep 2019
Posts: 13
Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

### Show Tags

lacktutor wrote:
a,b — nonzero numbers in the number line.
Is 0 between a and b?
—> a<0 and b>0???

(Statement1):
the distance of 0a > the distance of 0b
—> a= 5, b= 3 —> 5>3 (No)
—> a=—3, b= 2 —> 0a=3, 0b=2 —> 0a> 0b (Yes)
Insufficient

(Statement2):
—> the sum of 0a and 0b > 0(a+b)

If a=3 and b=5, then 0a+0b> 0(a+b)
—> 5+3> 8 —> it does not get an exact match for (stat2)

If a=—3 and b=—5, then 0a+0b> 0(a+b)—> 3+5> 8 ( it is the same thing) if a and b both are negative as you mentioned then 0 is not between them. either a or B has to be -ve and other +ve

If a=—3 and b= 5, then 0a+0b> 0(a+b) —> 3+5> —3+5
8> 2 ( correct)
—> a< 0 and b>0 ( always Yes)
Sufficient

I don't think answer is B for sure, statement 2 is more like |a| + |b| > a+b

Posted from my mobile device
Senior Manager  G
Joined: 25 Jul 2018
Posts: 343
Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

### Show Tags

vanya27 wrote:
lacktutor wrote:
a,b — nonzero numbers in the number line.
Is 0 between a and b?
—> a<0 and b>0???

(Statement1):
the distance of 0a > the distance of 0b
—> a= 5, b= 3 —> 5>3 (No)
—> a=—3, b= 2 —> 0a=3, 0b=2 —> 0a> 0b (Yes)
Insufficient

(Statement2):
—> the sum of 0a and 0b > 0(a+b)

If a=3 and b=5, then 0a+0b> 0(a+b)
—> 5+3> 8 —> it does not get an exact match for (stat2)

If a=—3 and b=—5, then 0a+0b> 0(a+b)—> 3+5> 8 ( it is the same thing) if a and b both are negative as you mentioned then 0 is not between them. either a or B has to be -ve and other +ve

If a=—3 and b= 5, then 0a+0b> 0(a+b) —> 3+5> —3+5
8> 2 ( correct)
—> a< 0 and b>0 ( always Yes)
Sufficient

I don't think answer is B for sure, statement 2 is more like |a| + |b| > a+b

Posted from my mobile device

vanya27

The first two cases in Statement2, both of them do not get an exact match for statement2.
—> If both a and b are positive or negative, 0(zero) will not be between them. Also, you already mentioned it too.

Case3:
Well, In order statement2 to hold true, a should be negative and b should be positive. (a<0, b>0)
—> Is 0(zero) between a and b?— this is what a question is asking.
( Always Yes)
Intern  B
Joined: 03 May 2019
Posts: 6
Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

### Show Tags

How to solve this using a number line drawing? Re: If a and b are nonzero numbers on the number line, is 0 between a and   [#permalink] 21 Oct 2019, 20:55
Display posts from previous: Sort by

# If a and b are nonzero numbers on the number line, is 0 between a and  