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Gmat Prep: Ratio

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chetanojha: Master | Next Rank: 500 Posts; Posts: 125; Joined: Sun Sep 16, 2007 1:38 pm; Thanked: 6 times

Gmat Prep: Ratio

by chetanojha » Sun May 03, 2009 1:14 am

Please help me to understand this.

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Last edited by chetanojha on Sun May 03, 2009 2:38 am, edited 1 time in total.

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Source: Beat The GMAT — Data Sufficiency | Sun May 03, 2009 1:14 am

Vemuri: Legendary Member; Posts: 682; Joined: Fri Jan 16, 2009 2:40 am; Thanked: 32 times; Followed by:1 members

Re: Gmat Prep: Ratio

by Vemuri » Sun May 03, 2009 1:52 am

w,x,y,z can each be either 0 or 1. The question is asking w+x+y+z=?

Stmt1: w/2+x/4+y/8+z/16=11/16 ==> (8w+4x+2y+z)/16=11/16 ==> 8w+4x+2y+z = 11. This is possible only when w=1,x=0,y=1,z=1. Hence, this statement is sufficient to answer the question.

Stmt2: w/3+x/9+y/27+z/81=31/81 ==> (27w+9x+3y+z)/81=31/81 ==> 27w+9x+3y+z = 31. This is possible only when w=1,x=0,y=1,z=1. Hence, this statement is sufficient to answer the question.

Thus D is the answer

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