Library / /91 of 387

, 2011

Algebra Difficulty 1.0 Junior Find the answer Canada

The operation " $\nabla$ " is defined by $(a, b)\nabla(c, d) = ac + bd$ . For example $(1, 2)\nabla(3, 4) = (1)(3) + (2)(4) = 11$ . The value of $(3, 1)\nabla(4, 2)$ is

(A) $10$ (B) $11$ (C) $13$ (D) $14$ (E) $24$

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.