1996 AHSME Problems/Problem 29

Problem 28

If $n$ is a positive integer such that $2n$ has $28$ positive divisors and $3n$ has $30$ positive divisors, then how many positive divisors does $6n$ have?

$\text{(A)}\ 32\qquad\text{(B)}\ 34\qquad\text{(C)}\ 35\qquad\text{(D)}\ 36\qquad\text{(E)}\ 38$

1996 AHSME (Problems • Answer Key • Resources)
Preceded by Problem 28	Followed by Problem 30
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1996 AHSME Problems/Problem 29

Problem 28

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