Maths Olympiad Prep

Track / Stage 4 / 327 of 340 #587 of 1964

Problem 587

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.

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

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Official solution

4343

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.