Relatively new GMAT PREP QUESTION

[cramya]

Q Each of the W,X,Y,Z are 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

[kanha81]

Q Each of the W,X,Y,Z are 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

this is how I would approach:

1) w=1, x=0, y=1, z=1
1/2 + 0 + 1/8 + 1/16 = (8+2+1) / 16 = 11/16

Suff

2) w=1, x=0, y=1, z=1
1/3 + 0 + 1/27 + 1/81 = (27+3+1) / 81 = 31/81

Suff

[spoiler][D][/spoiler]

I am pretty sure there is more than meets the eye! [/spoiler]

[aj5105]

yup, I got (D)

I got 3 in both cases. Something tricky in here

[ajaypatil_am]

cramya - please let us know OA and OE (if u hv)

[Vemuri]

Q Each of the W,X,Y,Z are 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

IMO D. This question seems straight forward.

Stmt1: 8w+4x+2y+z=11. We know that W,X,Y,Z are either 0 or 1. So, the only possible option is when w=1,x=0,y=1,z=1. Sufficient

Stmt1: 27w+9x+3y+z=31. We know that W,X,Y,Z are either 0 or 1. So, the only possible option is when w=1,x=0,y=1,z=1. Sufficient

[cramya]

OA : D