Hi anksm22,
This question can be solved by TESTing VALUES (and using some Number Property logic).
We're given:
0<R<1
1<S<2
We're asked which of the following MUST be less than 1.
I. R/S
If... R = .5 and S = 1.5, then R/S = .5/1.5 = 1/3 which IS less than 1.
The above example can help you to recognize the Number Property involved: R/S will ALWAYS be less than 1 because R and S are both positive AND the denominator will be larger than the numerator. That is THE definition of a positive fraction.
Roman Numeral I IS ALWAYS less than 1.
II. RS
Here, we can prove that RS is NOT ALWAYS less than 1:
If...R = .99 and S = 1.99, then RS would be (.99)(1.99) which is a little less than 2 and NOT less than 1.
Roman Numeral II is NOT ALWAYS less than 1.
III. S - R
Here, we can prove that S-R is NOT ALWAYS less than 1:
If...R = .01 and S = 1.99, then S - R = 1.98. This is NOT less than 1
Roman Numeral III is NOT ALWAYS less than 1.
Final Answer: A
GMAT assassins aren't born, they're made,
Rich
