Re: [計量] pp1 DS 202
※ 引述《oranger (從新出發)》之銘言：
: 202.
: Each employee of Company Z is an employee of either Division X or Division Y,
: but not both. If each division has some part-time employees, is the ratio of
: the number of full-time employees to the number of part-time employees
: greater for Division X than for Company Z ?
: (1) The ratio of the number of full-time employees to the number of part-time
: employees is less for Division Y than for Company Z.
: (2) More than half of the full-time employees of Company Z are employees of
: Division X, and more than half of the part-time employees of Company Z are
: employees of Division Y.
: Ans: D
: 請大家幫忙了!! 謝謝~
令X部門full time Xf人 part time Xp人
Y部門full time Yf人 part time Yp人
(1)
Yf Xf + Yf Xf + Yf Xf Yf
-- < ------- 以算術平均數的概念來看, ------- 為 -- 與 -- 之平均值
Yp Xp + Yp Xp + Yp Xp Yp
Yf Xf + Yf Xf
所以 -- < ------- < --
Yp Xp + Yp Xp
(2)
因為 Xf > Yf 我們再令Xf = Yf + a 其中a為大於0的常數
因為 Xp < Yp 我們再令Yp = Xp + b 其中b為大於0的常數
Xf + Yf Xf + Xf - a 2Xf
則 ---------- = --------------- 與 -------- 相比
Xp + Yp Xp + Xp + b 2Xp
分母變大且分子變小, 又分母分子都為正整數, 所以必然比較小.
所以答案是D
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※ 編輯: MrGust 來自: 118.231.137.108 (09/05 13:44)
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