logic function and minimization closed

Question

the simultaneous  equation on the boolean variables x,y,z,and w,

x+y+z=1

xy=0

xz+w=1

xy+z'w'=0

have the following solution for x ,y,z and w

a>0100

b>1101

c>1011

d>1000

Comments

Question is wrong.

as in second equation xy =1 so x and y must b 1.

and if it is like that then fourth equation can't be 0.

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sorry its my mistake it will be xy =0 in 2nd equation

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best way to solve these type of questions.. using options... need to check only 4 options..

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exactly i got it using option and answer is c ..btw thanks