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

 It is currently 09 Dec 2019, 00:00 ### 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 s and t are two different numbers on the number line, is s + t = 0

Author Message
TAGS:

### Hide Tags

Director  Joined: 03 Sep 2006
Posts: 614
If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

18
52 00:00

Difficulty:   35% (medium)

Question Stats: 61% (00:48) correct 39% (00:48) wrong based on 1346 sessions

### HideShow timer Statistics

If s and t are two different numbers on the number line, is s + t = 0 ?

(1) Distance between s and 0 is the same as distance between t and 0
(2) 0 is between s and t

Originally posted by LM on 27 Apr 2010, 10:04.
Last edited by Bunuel on 14 Feb 2019, 00:40, edited 1 time in total.
Renamed the topic.
Math Expert V
Joined: 02 Sep 2009
Posts: 59598
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

11
10
If s and t are two different numbers on the number line, is s + t = 0 ?

Note: "the distance between x and y on the number line equals to z" always can be expressed as $$|x-y|=z$$.

Given $$s\neq{t}$$. Q: $$s+t=0$$? OR is $$s=-t$$

(1) Distance between s and 0 is the same as distance between t and 0 --> $$|s-0|=|t-0|$$ --> $$|s|=|t|$$. As $$s\neq{t}$$, then $$s=-t$$. Sufficient.

(2) 0 is between s and t --> 0 is somewhere between s and t on the number line. Not sufficient.

_________________
##### General Discussion
Intern  Joined: 10 Apr 2010
Posts: 3
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

3
1
Because S and T are two different numbers from Stem.

From (1), distance between S and 0 is the same as 0 and T on the number line, that implies S=-T or T=-S and hence S+T=0 -- Sufficient

From (2), 0 is in between S and T. It doesn't say anything about the distance ... hence S+T is not necessarily 0. -- Not Sufficient.

A.
Math Expert V
Joined: 02 Sep 2009
Posts: 59598
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

10
3
harikattamudi wrote:
37.If 'S' and 'T' are two different numbers on the number liine, is S + T equal to 0?
(1) The distance between S and 0 is the same as the distance between T and 0.
(2) 0 is between S and T

What does the tern between in the stmt. 2 Mean .. Does that mean exactly in the middle or some where between S and T. Please explain What does between mean in terms of GMAT.

Thanks
-H

0 is between s and t, means 0 is somewhere between s and t on the number line.

If GMAT wants to tell that 0 is exactly between s and t, it would usually state that as "0 is halfway between s and t on the number line", which always can be expressed as $$\frac{s+t}{2}=0$$.

TIPS:
On the GMAT we can often see such statement: $$z$$ is halfway between $$x$$ and $$y$$ on the number line. Remember this statement can ALWAYS be expressed as:

$$\frac{x+y}{2}=z$$.

"The distance between x and y" can always be expressed as $$|x-y|$$.

Hope it helps.
_________________
Manager  Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 172
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

I read between as middle. Isnt the word between confusing???
Math Expert V
Joined: 02 Sep 2009
Posts: 59598
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

1
rajathpanta wrote:
I read between as middle. Isnt the word between confusing???

You mean you read "between" as "middle" in "distance between t and 0"? What does it means then?
_________________
Manager  Status: Prevent and prepare. Not repent and repair!!
Joined: 13 Feb 2010
Posts: 172
Location: India
Concentration: Technology, General Management
GPA: 3.75
WE: Sales (Telecommunications)
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

Bunuel wrote:
rajathpanta wrote:
I read between as middle. Isnt the word between confusing???

You mean you read "between" as "middle" in "distance between t and 0"? What does it means then?

CEO  D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2977
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

Attachments 1.jpg [ 126.45 KiB | Viewed 33292 times ]

_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Math Revolution GMAT Instructor V
Joined: 16 Aug 2015
Posts: 8242
GMAT 1: 760 Q51 V42 GPA: 3.82
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

1
Forget conventional ways of solving math questions. In DS, Variable approach is the easiest and quickest way to find the answer without actually solving the problem. Remember equal number of variables and independent equations ensures a solution.

If s and t are two different numbers on the number line, is s + t = 0 ?

(1) Distance between s and 0 is the same as distance between t and 0
(2) 0 is between s and t

If we modify the original condition and the question, we want to know whether s=-t.
Looking at condition 1, |s-0|=|t-0|, |s|=|t| and from this we can get s=t or s=-t, but it is given that s and t are different, so s=-t, the answer is 'yes', making this condition sufficient.
For condition 2, the answer to the question becomes 'yes' for s=2, t=-2, but 'no' for s=3,t=-2. This condition is insufficient, and the answer becomes A.

Once we modify the original condition and the question according to the variable approach method 1, we can solve approximately 30% of DS questions.
_________________
Manager  B
Joined: 17 Jun 2015
Posts: 191
GMAT 1: 540 Q39 V26 GMAT 2: 680 Q46 V37 Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

1
Key observations:

1. It is a number line. SO don't draw the xy plane.
2. The numbers are "DIFFERENT".

Reframing the question: Is S = -T.

Statement 1 is sufficient to give the answer.

Statement 2 is insufficient. Between does not mean between and in the middle of. Earth is between Jupiter and Sun. Does not mean midway.
_________________
Fais de ta vie un rêve et d'un rêve une réalité
EMPOWERgmat Instructor V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15675
Location: United States (CA)
GMAT 1: 800 Q51 V49 GRE 1: Q170 V170 Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

Hi All,

We're told that S and T are two DIFFERENT numbers on the number line. We're asked if S + T = 0. This is a YES/NO question and can be solved by TESTing VALUES and a bit of Number Property logic.

1) The distance between S and 0 is the SAME as the distance between T and 0

Since S and T are DIFFERENT numbers, the only way for their respective distances from 0 to be the SAME is if S and T are 'opposites.'

IF....
S = +1, T = -1; the distances from 0 are the same and S+T = (1) + (-1) = 0, so the answer to the question is YES
S = -2, T = +2; the distances from 0 are the same and S+T = (-2) + (+2) = 0, so the answer to the question is YES.
Etc.
The answer to the question is ALWAYS YES.
Fact 1 is SUFFICIENT

2) 0 is between S and T

With the information in Fact 2, we know that 0 is some point between S and T, but that does NOT necessarily mean the "exact midpoint."

IF...
S = +1, T = -1; then S+T = (1) + (-1) = 0, so the answer to the question is YES
S = +1, T = -2; then S+T = (1) + (-2) = -1, so the answer to the question is NO
Fact 2 is INSUFFICIENT

GMAT assassins aren't born, they're made,
Rich
_________________
Intern  B
Joined: 02 Dec 2018
Posts: 10
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

Because S and T are two different numbers from Stem.

From (1), distance between S and 0 is the same as 0 and T on the number line, that implies S=-T or T=-S and hence S+T=0 -- Sufficient

From (2), 0 is in between S and T. It doesn't say anything about the distance ... hence S+T is not necessarily 0. -- Not Sufficient.

A.
Manager  G
Joined: 21 May 2017
Posts: 99
Location: India
GMAT 1: 660 Q49 V31 Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

If s and t are two different numbers on the number line, is s + t = 0 ?

(1) Distance between s and 0 is the same as distance between t and 0
(2) 0 is between s and t

A as it says that s-0=0-t
B is not sufficient , we dont know where actually A and B lie
VP  D
Joined: 14 Feb 2017
Posts: 1314
Location: Australia
Concentration: Technology, Strategy
GMAT 1: 560 Q41 V26 GMAT 2: 550 Q43 V23 GMAT 3: 650 Q47 V33 GMAT 4: 650 Q44 V36 GMAT 5: 650 Q48 V31 GMAT 6: 600 Q38 V35 GPA: 3
WE: Management Consulting (Consulting)
Re: If s and t are two different numbers on the number line, is s + t = 0  [#permalink]

### Show Tags

"Different" numbers is the only thing that makes A correct, otherwise we could plausibly have s=t Re: If s and t are two different numbers on the number line, is s + t = 0   [#permalink] 21 Jul 2019, 19:52
Display posts from previous: Sort by

# If s and t are two different numbers on the number line, is s + t = 0  