Track / Stage 4 / 266 of 340 #526 of 1964

Problem 526

AMC 12 late, AIME early

Number theory Difficulty 4.9 Multiple choice

20. Starting from 1, the natural numbers with multiples of 4 removed are grouped into sets of three:
$(1,2,3),(5,6,7),(9,10,11),(13,14,15),$
$\qquad$
where 2 is the 2nd number in the 1st group, 11 is the 3rd number in the 3rd group. Following this pattern, which group and which number in the group is 2022?

Pick one

Official solution

$\frac{20}{D}$

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