Is x > y?
(1) x^3 > 100y^7
(2) x > 0
Solution:
Analyzing the question:
We have no information on x and y so we need to consider positive/negative values and fractional/whole number values.
Statement 1:
We can have x = 100 and y = 1 for x > y, or x = 1/100 and y = 1/99 for x < y. Insufficient.
Statement 2:
Insufficient.
Combined:
The key here is to see we cannot prove x > y with this information. As an example, the case x = 1/100 and y = 1/99 still gives x < y so combined information is still insufficient.
Ans: E
(1) x^3 > 100y^7
(2) x > 0
Solution:
Analyzing the question:
We have no information on x and y so we need to consider positive/negative values and fractional/whole number values.
Statement 1:
We can have x = 100 and y = 1 for x > y, or x = 1/100 and y = 1/99 for x < y. Insufficient.
Statement 2:
Insufficient.
Combined:
The key here is to see we cannot prove x > y with this information. As an example, the case x = 1/100 and y = 1/99 still gives x < y so combined information is still insufficient.
Ans: E
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