Track / Stage 4 / 305 of 340 #565 of 1964

Problem 565

AMC 12 late, AIME early

Number theory Difficulty 5.0 Find the answer

Nezha has 100 cards, each marked with a natural number from 1 to 100. He gives the even-numbered cards to Ao Bing, and some of the odd-numbered cards to Taiyi Zhenren. The sum of the numbers on the remaining cards is exactly 2021. Nezha has at most $\qquad$ cards left.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$43$

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