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

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

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New post 21 Oct 2019, 06:45
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

76% (01:56) correct 24% (02:16) wrong based on 45 sessions

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Senior Manager
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Joined: 25 Jul 2018
Posts: 338
Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

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New post 21 Oct 2019, 07:47
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

The answer is B

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Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

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New post 21 Oct 2019, 14:23
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

The answer is B

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

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Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

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New post 21 Oct 2019, 14:49
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

The answer is B

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

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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)
The answer should be B.
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Re: If a and b are nonzero numbers on the number line, is 0 between a and  [#permalink]

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New post 21 Oct 2019, 20:55
How to solve this using a number line drawing?
GMAT Club Bot
Re: If a and b are nonzero numbers on the number line, is 0 between a and   [#permalink] 21 Oct 2019, 20:55
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If a and b are nonzero numbers on the number line, is 0 between a and

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