Today Anselm is three times as old as his brother Bartholomew, and Bartholomew is $4$ years younger than his sister Catherine. If Anselm, Bartholomew, and Catherine are all alive $5$ years from today, select which of the following must be true on that day?
I. Anselm is three times as old as Bartholomew
II. Catherine is $4$ years older than Bartholomew
III. Anselm is older than Catherine

I only

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II only

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III only

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I and II

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II and III

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Solution

The correct option is B II only
After $5$ years , the age of both anselm and bartholomew increases by $5$ years, so the relation wont hold now
Since Catherine is $4$ years older than Bartholomew , after $5$ years also same relation holds
we cant compare anselm and catherine age unless we know what is the age of anselm
So the correct answer is $B$

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