Cutie

[roy.ananda]

Is q > t ?

(1) qp2 < tp2

(2) qp3 > tp3

Found this question in the free CAT.While (1) is sufficient as P^2 is always assumed to be positive,I have one doubt here.

This question does not say anything about P,so P might be an irrational number such as (-p)^(1/2).

If P is irrational,then (1) may not be sufficient.Please correct me if I am wrong here.

[RonPurewal]

"Irrational" numbers are just numbers that aren't expressible as fractions. E.g., pi, or √2, or whatever.
With regard to signs, these numbers don't act any differently than do "rational" numbers.

If you are thinking about "imaginary" numbers (like √-1), those numbers are not considered.
This is stated in the rules at the beginning of every exam, as well as in the ground-rules part at the beginning of the OG.
(Also, just think about the general ethic of this exam. It's based entirely on mathematics up to first-year algebra and geometry.)

[roy.ananda]

Thank you Ron for clarifying my doubts.

[RonPurewal]

Thank you Ron for clarifying my doubts.

You're welcome.