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HMMT 二月 2000 · GEN 赛 · 第 14 题

HMMT February 2000 — GEN Round — Problem 14

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

英文原题

  1. The author of this question w as b orn on April 24, 1977. What da y of the w eek w asthat?
    3 5
    (5 ) (3 )
    5 3
解析

英文解析

  1. F eburary 26, 2000 is a Saturda y . April 24, 2000 is 23 365 + 1 + 1 + 1 + 1 + 1 + 1 = 8401
    da ys a w a y from April 24, 1977 (in luding the leap y ears). So, F eburary 26, 2000 is
    8343
    8401 3 31 24 = 8343 da ys after April 24, 1977. No w, = 1191 with a remainderof 6. So, 6 da ys b efore Saturda y is Sunda y .7
    6 4 4 6