If xx.yy.zz=xy.yz.zx such that x , y and z are positive integers greater than 1, then which of the following cannot be true for any of the possible value of x,y and z ?
A
xyz=27
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B
xyz=1728
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C
x+y+z=32
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D
x+y+z=12
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Solution
The correct option is C x+y+z=32 xx.yy.zz=xy.yz.zx∴x=yy=zz=xxyz=27
forx=y=z=3
Hence,
Option C is correct answer as it gives a value of 323=10.667