BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

Mod

Expert replies
Source: — Data Sufficiency |

by GMATGuruNY » Thu Oct 01, 2015 5:28 am
vipulgoyal wrote:In the number line, is s between r and t?
(1) | r - s | < | r - t |
(2) | r - s | < | s - t |
|a-b| = the DISTANCE between a and b.

Statement 1, in words:
The distance between r and s is less than the distance between r and t.
Statement 2, in words:
The distance between r and s is less than the distance between s and t.

Case 1:
...............r...s...............t
Case 2:
t..............r...s...............

Cases 1 and 2 satisfy both statements.
In Case 1, s is between r and t.
In Case 2, s it NOT between r and t.
INSUFFICIENT.

The correct answer is E.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.

As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.

For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Join the discussion

by vipulgoyal » Sat Oct 03, 2015 10:48 am
thanks Mitch,

Using same approach showed by you , I did similar Q and zeroed out with B

In the number line, is r between s and t?
1) | r - s | < | r - t |
2) | r - s | > | s - t |


Hope I am right on this part
Join the discussion

by Max@Math Revolution » Fri Oct 09, 2015 8:50 am
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.

In the number line, is s between r and t?
(1) | r - s | < | r - t |
(2) | r - s | < | s - t |

Looking at the original condition, there are 3 variables (r,s,t) but only 2 equations are provided by the conditions, so there is high chance that (E) is going to be our answer
Looking at the conditions together, the absolute value represents distance, so the distance between r and s is smaller than both the distance between r &t, and s&t

Image
It can be seen from the above image that the conditions are insufficient, and the answer becomes (E).

Math Revolution : Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World's First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Unlimited Access to over 120 free video lessons - try it yourself (https://www.mathrevolution.com/gmat/lesson)
See our Youtube demo (https://www.youtube.com/watch?v=R_Fki3_2vO8)
Join the discussion