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ACT® Math

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Difficult

Symbolic Functions

ACTMAT-GIMGJK

Let $ \varkappa $ be defined for all positive integers so that:

$$ p\varkappa q=\frac { p }{ q } $$

...if $q$ is a factor of $p$, or $ p\varkappa q=pq $ otherwise.

Which of the following expressions evaluates to 72?

A

$ 12\varkappa 6 $

B

$ 2\varkappa 144 $

C

$ 36\varkappa 2 $

D

$ 18\varkappa 4 $

E

$ 24\varkappa 3 $