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Three Cities

GMAT-TGTMXG

City A is $50$ kilometers away from City B, which is an unknown number of kilometers away from City C.

If City B is further away from City C than it is from City A, which of the following answers cannot be a possible distance between City A and City C?

Assume that all three cities lie on the same line.

A

$49$ kilometers

B

$50$ kilometers

C

$99$ kilometers

D

$101$ kilometers

E

These are all possible distances.