Data Sufficiency Pack 4, Question 3) On a number line...

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.

On a number line, the distance from point A to zero is greater than the distance from point B to zero. Does point C lie between points A and B on the number line?

1) ABC > 0
2) |A| > |B| > |C|

There are 3 variables (A,B,C) and one inequality (|A-0|>|B-0|) in the original condition, 2 more equations in the given conditions, so there is high chance (C) will be the answer.
Looking at the conditions together,
in ABC>0, and |A-0|>|B-0|>|C-0|,

----------------|-----|----------|-------------------------------|-------- YES
B C 0 A

----------------|----------|-------|-----------------------------|------- NO
0 C B A
therefore the answer is E

For cases where we need 2 more equations, such as original conditions with “2 variables”, or “3 variables and 1 equation”, or “4 variables and 2 equations”, we have 1 equation each in both 1) and 2). Therefore, there is 70% chance that C is the answer, while E has 25% chance. These two are the majority. In case of common mistake type 3,4, the answer may be from A, B or D but there is only 5% chance. Since C is most likely to be the answer using 1) and 2) separately according to DS definition (It saves us time). Obviously there may be cases where the answer is A, B, D or E.