Library / /426 of 475

, 1999

Number theory Difficulty 3.0 AMC 10/12 Find the answer Canada

If $w=2^{129}\times 3^{81}\times 5^{128}$ , $x=2^{127}\times 3^{81}\times 5^{128}$ , $y=2^{126}\times 3^{82}\times 5^{128}$ , and $z=2^{125}\times 3^{82}\times 5^{129}$ , then the order from smallest to largest is

(A) $w, x, y, z$ (B) $x, w, y, z$ (C) $x, y, z, w$ (D) $z, y, x, w$ (E) $x, w, z, y$

Want a route through all this instead of an archive? The track puts 2,604 problems in a working order, from Junior Challenge level to the IMO shortlist.

Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.