Maths Olympiad Prep

Track / Stage 4 / 84 of 340 #344 of 1964

Problem 344

AMC 12 late, AIME early
Combinatorics Difficulty 4.8 Multiple choice

Five children had dinner. Chris ate more than Max. Brandon ate less than Kayla. Kayla ate less than Max but more than Tanya. Which child ate the second most?

Pick one

Official solution

Since Kayla ate less than Max and Chris ate more than Max, then Kayla ate less than Max who ate less than Chris.

Brandon and Tanya both ate less than Kayla.

Therefore, Max ate the second most.

ANSWER: (D)

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.