Maths Olympiad Prep

Library / CEMC Fermat /465 of 566

CEMC Fermat, 2001

Combinatorics Difficulty 3.0 AMC 10/12 Find the answer Canada

A spiral of numbers is created, as shown, starting with 11. If the pattern of the spiral continues, in what configuration will the numbers 399, 400 and 401 appear?

(A) 399→400→401399 \to 400 \to 401 (B) 401←400←399401 \leftarrow 400 \leftarrow 399 (C) 401401 above 400400 above 399399, joined by upward arrows from 399399 to 400400 to 401401 (D) 399399 above 400400 above 401401, joined by downward arrows from 399399 to 400400 to 401401 (E) 400→401400 \to 401 with 399399 below 400400 joined by an upward arrow from 399399 to 400400

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