sum of P

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gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 am; Thanked: 173 times; Followed by:2 members; GMAT Score:710

by gmatmachoman » Sun May 02, 2010 5:46 am

If p is the smallest positive integer such that (p^3)/3920 is also an integer, what is the sum of the digits of p?

(A) 5 (B) 7 (C) 9 (D) 11 (E) 13

Source: Beat The GMAT — Problem Solving | Sun May 02, 2010 5:46 am

liferocks: Legendary Member; Posts: 576; Joined: Sat Mar 13, 2010 8:31 pm; Thanked: 97 times; Followed by:1 members

by liferocks » Sun May 02, 2010 5:58 am

3920=8*490=2^3*7^2*5*2

hence p=2*7*5*2=140

ans 1+4+0=5..option A

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