sum of P

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gmatmachoman: Legendary Member; Posts: 2326; Joined: Mon Jul 28, 2008 3:54 amFollowed by: 2 members; Thanked: 173 times; 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

R&D on GMAT algorithm:

https://www.beatthegmat.com/r-d-on-gmat- ... tml#305739

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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 pmFollowed by: 1 member; Thanked: 97 times

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

"If you don't know where you are going, any road will get you there."
Lewis Carroll

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