Peter is coding the names of some cities. If ROME is coded as 4 and COLUMBUS is coded as 16, find the code of the city he's thinking of.

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Solution

The correct option is C 25
As Rome is a four-letter word, its code is:
$(\frac{4}{2})^{2} = 2^{2} = 4$

Similarly, Columbus is an eight-letter word. So, its code is:
$(\frac{8}{2})^{2} = 4^{2} = 16$

Based on the above patterns, Manchester is a ten-letter word so its code is:
$(\frac{10}{2})^{2} = 5^{2} = 25$

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