nonameee wrote:

x is one of the numbers: 3 or 6. Is xy equal to 12 ?

(1) Either x equals 3 or y does not equal 2.

(2) Either x equals 6 or y does not equal 4.

Can someone please explain whether on the GMAT "either or" means logical OR or logical XOR as in the example above?

Thanks.

x is either 3 or 6. Lets deal with each statement now

A) if x equals 3 is TRUE . then y not equal 2 is false or

it means y=2. Thus x=3 and y=3 => xy=6.

if y does not equal to 2 is true,then x = 3 is false or x=6 (x is either 3 or 6 ).

x=6 and y is not equal to 2, thus xy is not equal to 12.

Sufficient Now lets see the next statement

B) If x = 6 is true. Then y not equal to 4 is false or it means y=4. Thus, xy=24.

if y does not equal to 4 is true, x equals 6 is false or x=3 (x is either 3 or 6 ).

x=3 and y is not equal to 4, thus xy not equal to 12.

Sufficient Hence, answer should be D.

Let me know if you have any questions.

_________________

Thanks,

GC24

Please click Kudos ,if my post helped you