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HMMT 十一月 2009 · 冲刺赛 · 第 6 题

HMMT November 2009 — Guts Round — Problem 6

专题
Contest Math / 竞赛数学
难度
L3
来源
HMMT

题目详情

  1. [ 6 ] Find the last two digits of 1032 . Express your answer as a two-digit number.
    2 ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 7 NOVEMBER 2009 — GUTS ROUNDnd

英文原题

[ 6 ] Find the last two digits of 1032 1032 . Express your answer as a two-digit number.
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2 nd ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 7 NOVEMBER 2009 — GUTS ROUND

解析

英文解析

  1. [ 6 ] Find the last two digits of 1032 . Express your answer as a two-digit number.
    1032 1032
    Answer: 76 The last two digits of 1032 is the same as the last two digits of 32 . The lastntwo digits of 32 repeat with a period of four as 32 , 24 , 68 , 76 , 32 , 24 , 68 , 76 , . . . .
    2 ANNUAL HARVARD-MIT NOVEMBER TOURNAMENT, 7 NOVEMBER 2009 — GUTS ROUNDnd