Is x > y?

(1) x^3 > 100y^7

(2) x > 0

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