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.

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

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


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

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