What is the value of w+x+y+z?

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bhumika.k.shah: Legendary Member; Posts: 941; Joined: Sun Dec 27, 2009 12:28 amFollowed by: 1 member; Thanked: 20 times

by bhumika.k.shah » Sun Apr 04, 2010 11:43 am

Each of the numbers w,x,y and z is equal to either 0 or 1. What is the value of w+x+y+z?

(1) w/2+x/4+y/8+z/16=11/16

(2) w/3+x/9+y/27+z/81=31/81

Different and quicker approaches if this had been a PS sum?

Source GMAT prep

What difficulty level q is this?

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Source: Beat The GMAT — Data Sufficiency | Sun Apr 04, 2010 11:43 am

eaakbari: Master | Next Rank: 500 Posts; Posts: 435; Joined: Mon Mar 15, 2010 6:15 amFollowed by: 1 member; Thanked: 32 times

by eaakbari » Sun Apr 04, 2010 11:54 am

IMO D

Statement one

(8w + 4x +2y +z)/16 = 11/16
which means
(8w + 4x +2y +z) = 11
The only way this is possible is if w,y and z =1
Hence suff

Statement two
same logic as above
suff

Hence D

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