Bunuel wrote:
If w, x, y, and z are numbers on the number line shown, which of the following products is least?
A. wy
B. wz
C. xy
D. xz
E. yz
Attachment:
GMAT_PS_PREP_T2_6.png
Let's examine each answer choice....
A. wy
Since w and y are each negative, the product wy = (negative)(negative) = positive
B. wz
Since w is negative and z is positive, the product wz = (negative)(positive) = negative
Since we get a negative product, answer choice B is definitely less than answer choice A
ELIMINATE A
C. xy
Since w and y are each negative, the product xy = (negative)(negative) = positive
Since we already know that answer choice B is negative, we can ELIMINATE C
NOTE: At this point we can see that D and E will also yield negative values.
D. xz
E. yz
Since B, D and E all include the variable z, the least possible product well be the one in which the other variable is the least.
This means the correct answer must be B.
Cheers,
Brent
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