GMAT Club Tests | Re M36-118

OfficialSolution:


If\(x\) ,\(y\) , and\(z\) are positive integers, what is the value of\(x\)?

(1)\( xyz =z!\)

If\(z=1\) , then\(xy=1\) and thus\(x=y=1\) ;

If\(z=3\) , then\(xy=2\) and in this case\(x=1\) and\(y=2\) or\(x=2\) and\(y=1\) .

Not sufficient.

(2)\( x! + y! =3\)

This is only possible if\(x=1\) and\(y=2\) or\(x=2\) and\(y=1\) .

Not sufficient.

(1)+(2) It's still possible to have two different cases:\(x=1\) ,\(y=2\) and\(z=2\) or\(x=2\) ,\(y=1\) and\(z=2\) . Not sufficient.


Answer: E
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