[機經] #24 殘題 --> GWD 原題

看板GMAT作者dounts (Donz GMAT)時間9年前 (2015/03/19 23:18)推噓1(1推 0噓 5→)

留言6則, 1人參與討論串1/1

完整圖文: https://www.facebook.com/groups/DonzGMAT/811299325592372 24. 一個數（不記得是不是n）可以被3除餘1，n是非負整數，並且等於2^n。最後求什麼忘了，就讓它殘著吧……會有更多的狗 (GWD 原題) For a nonnegative integer n, if the remainder is 1 when 2^n is divided by 3, then which of the following must be true? I. n is greater than zero. II. 3^n = (-3)^n III. √2^n is an integer. A. I only B. II only C. I and II D. I and III E. II and III Answer: E 2^0 ÷3…………….1 2^1 ÷3……………..2 2^2 ÷3…………….1 2^3 ÷3……………..2 由循環可得，2^n ÷3……………1 --> n is even I. n is greater than zero. --> n 可以為 0 could be wrong II. 3^n = (-3)^n --> must be true III. √2n is an integer. --> 如果 n 是偶數，2n 則為平方數 √2n is an integer, must be true ------------------------------------------------------------------------------------------------------------ -- Donz 2015 4月全科機經班: http://ppt.cc/wwcn Donz + Keewee 四週速成實力4月班: http://ppt.cc/2oGt Donz GMAT FB: https://www.facebook.com/groups/DonzGMAT -- ※ 發信站: 批踢踢實業坊(ptt.cc), 來自: 1.161.151.31 ※ 文章網址: https://www.ptt.cc/bbs/GMAT/M.1426778311.A.AF6.html ※ 編輯: dounts (1.161.151.31), 03/19/2015 23:41:39

→

j6u06j3

03/26 20:07, , 1^F

03/26 20:07, 1^F

推

j6u06j3

03/26 20:09, , 2^F

03/26 20:09, 2^F

2^4 = 16, 2^6 = 64 都是平方數呀 ※ 編輯: dounts (180.176.118.67), 03/27/2015 23:57:48

→

j6u06j3

03/28 18:07, , 3^F