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# Is m+10 positive?

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Manager
Joined: 30 Dec 2016
Posts: 239
GMAT 1: 650 Q42 V37
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18 Dec 2017, 01:58
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Question Stats:

50% (02:08) correct 50% (01:19) wrong based on 10 sessions

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Is m+10 positive?

(1) On the number line, m+10 is closer to 0 than to m.

(2) On the number line, m-10 is closer to 0 than to m.

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SandySilva

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18 Dec 2017, 02:15
Read the Q as following and solution would be

Quote:
Is m+10 positive?

(1) On the number line, 0 is closer to m+10 than to m.

(2) On the number line, 0 is closer to m-10 than to m.

answer would depend on value of m

(1) On the number line, 0 is closer to m+10 than to m.
m+10 will be > m .....

so if $$m<\frac{-10}{2}$$ that is m<-5, so m+10 can take BOTH positive and negative values
m+10=3...m=-7 so TRUE
m+10=-10...m=-20...TRUE again
Insuff

(2) On the number line, 0 is closer to m-10 than to m
m-10 will always be on LEFT side of m..

so if $$m>\frac{10}{2}$$ that is m>5, so m+10 can take ONLY positive values
ans YES
sufficient

B

Note: sandysilva, although the Q is tricky but NOT accurate.
In GMAT, you can't have different values of m..
statement I gives you m<-5 and II gives you m>5.. NO overlapping region
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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18 Dec 2017, 02:57
chetan2u wrote:
sandysilva wrote:
Is m+10 positive?

(1) On the number line, m+10 is closer to 0 than to m.

(2) On the number line, m-10 is closer to 0 than to m.

answer would depend on value of m

(1) On the number line, m+10 is closer to 0 than to m.
m+10 will be > m .....

so if $$m<\frac{-10}{2}$$ that is m<-5, so m+10 can take BOTH positive and negative values
m+10=3...m=-7 so TRUE
m+10=-10...m=-20...TRUE again
Insuff

(2) On the number line, m-10 is closer to 0 than to m
m-10 will always be on LEFT side of m..

so if $$m>\frac{10}{2}$$ that is m>5, so m+10 can take ONLY positive values
ans YES
sufficient

B

Hi Chetan, Can you please explain why option 1 is insuff?
Ques is just asking whther m is +ive or not
the examples you have taken also shows m will remain negative always.
am i missing something?
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18 Dec 2017, 05:48
er.arun88 if m<-5, then m can be, say, -6, in which case m+10 is 4.
So it can be either positive or negative.
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18 Dec 2017, 06:10
er.arun88 wrote:
chetan2u wrote:
sandysilva wrote:
Is m+10 positive?

(1) On the number line, m+10 is closer to 0 than to m.

(2) On the number line, m-10 is closer to 0 than to m.

answer would depend on value of m

(1) On the number line, m+10 is closer to 0 than to m.
m+10 will be > m .....

so if $$m<\frac{-10}{2}$$ that is m<-5, so m+10 can take BOTH positive and negative values
m+10=3...m=-7 so TRUE
m+10=-10...m=-20...TRUE again
Insuff

(2) On the number line, m-10 is closer to 0 than to m
m-10 will always be on LEFT side of m..

so if $$m>\frac{10}{2}$$ that is m>5, so m+10 can take ONLY positive values
ans YES
sufficient

B

Hi Chetan, Can you please explain why option 1 is insuff?
Ques is just asking whther m is +ive or not
the examples you have taken also shows m will remain negative always.
am i missing something?

hi Arun,

the Q is asking whether m+10 is POSITIVE or not..
YES m here will always be -ive, but m+10 can be anything..
m is anything -100000000... to -10, m+10 will be closer to 0 but m+10 will be <0
but m between -10 and -5 will give m+10 as positive and also m+10 will be closer to 0 than m is..
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Math Expert
Joined: 02 Sep 2009
Posts: 53063

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18 Dec 2017, 06:25
Is m + 10 positive?

Is m + 10 > 0;
Is m > -10.

(1) On the number line, m + 10 is closer to 0 than to m.

The distance between m + 10 and 0 is |m + 10 - 0| = |m + 10|;
The distance between m + 10 and m is |m + 10 - m| = |10| = 10.

We are told that |m + 10| < 10;
-10 < m + 10 < 10;
-20 < m < 0.

Not sufficient.

(2) On the number line, m - 10 is closer to 0 than to m.

The distance between m - 10 and 0 is |m - 10 - 0| = |m - 10|;
The distance between m - 10 and m is |m - 10 - m| = |-10| = 10.

We are told that |m - 10| < 10;
-10 < m - 10 < 10;
0 < m < 20.

Sufficient.

Technically answer should be B, as statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

But even though formal answer to the question is B, this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other. But the statements above contradict each other:
From (1) -20 < m < 0 and from (2) 0 < m < 20. The statements clearly contradict each other.

So, the question is flawed. You won't see such a question on the test.
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18 Dec 2017, 06:46
sandysilva wrote:
Is m+10 positive?

(1) On the number line, m+10 is closer to 0 than to m.

(2) On the number line, m-10 is closer to 0 than to m.

A question on same lines with correct statements could be..
https://gmatclub.com/forum/is-x-positive-255673.html
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
4) Base while finding % increase and % decrease : https://gmatclub.com/forum/percentage-increase-decrease-what-should-be-the-denominator-287528.html

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Manager
Joined: 30 Dec 2016
Posts: 239
GMAT 1: 650 Q42 V37
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18 Dec 2017, 06:58
This is one of the Experts Global Cat questions.
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SandySilva

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Re: Is m+10 positive?   [#permalink] 18 Dec 2017, 06:58
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