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

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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|



OA E

Source: EMPOWERgmat
Source: — Data Sufficiency |

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BTGmoderatorDC wrote:
Fri Aug 28, 2020 5:26 pm
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|



OA E

Source: EMPOWERgmat
1) \(ABC > 0\)
When \(AB < 0 \Rightarrow A, B\) are opposite by ZERO point \(\Rightarrow C < 0\), but we cannot make sure \(C\) lies between \(A\) and \(B\) or not. Insufficient\(\Large{\color{red}\chi}\)

2) \(|A| > |B| > |C|\)

If \(AB <0\), \(C\) lies between \(A\) and \(B\).
If \(AB> 0\), \(C\) does not lie between \(A\) and \(B\)

Insufficient \(\Large{\color{red}\chi}\)

Combining (1) and (2),

\(AB < 0 \Rightarrow C < 0\) AND lie between
\(AB>0 \Rightarrow C > 0\) and does not lie between

Insufficient \(\Large{\color{red}\chi}\)

Therefore, E