Olympiad Maths Prep

Track / Stage 4 / 274 of 340 #534 of 2000

Problem 534

AMC 12 late, AIME early
Number theory Difficulty 4.9 Find the answer

9. Si Si wrote 1,2,3,,991, 2, 3, \cdots \cdots, 99 on the blackboard. Rui Rui doesn't like the number 2, so he erased the following numbers:
(1) multiples of 2;
(2) numbers containing the digit 2 (such as 92);
(3) numbers whose sum of digits is divisible by 2 (such as 31).
Rui Rui erased \qquad numbers in total.

Official solution

7979

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