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GWD 05-21

關於 Problem Solving 和 Data Sufficiency 的問題都可以在這邊發表

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GWD 05-21

帖子Ruru » 2005-11-29 13:06

GWD math 5-21題目如下
Theater M has 25 rows with 27 seats in each row. How many of the seats were occupied during a certain show?
(1) During the show, there was an average (arithmetic mean) of 10 unoccupied seats per row for the front 20 rows.
(2) During the show, there was an average (arithmetic mean) of 20 unoccupied seats per row for the back 15 rows.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

答案為E

想請教各問大大,答案為何不是D阿,(1) and (2)分別可以解出已經使用中的位子了阿??
就(1)而言:前20排是平均10個空的所以total occupied=20*(27-10)+5*27
就(2)而言:total occupied=10*27+15*7

可否請各位大大幫我解答.... ;-$
Ruru
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帖子ariesmilla » 2005-11-29 14:38

他的範圍有overlap喔....一共有25排..
條件一:前10排的平均空位
條件2:後20排的平均空位

一共也才25排,cover了5排左右無法確定,所以是E :)
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帖子Ruru » 2005-12-03 14:13

可是如果分別就(1)以及二的條件來解的話....其實是可以解出不同的答案
妳的解法好像是兩個併同考慮才會有重複的問題勒
;-S
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帖子waleaaa » 2005-12-03 14:24

那我幫忙做個詳細一點的說明唷~
條件(1)只知前20排共有200個空位~但因不知後5排的情況,所以不充份~
條件(2)也是同樣的情況~只知後15排共300個空位~不知前10排的情況~亦不充分~
如果同時考慮條件(1).(2)─
中間5排會有重覆的情況~所以亦不充分~
故選E :smile
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帖子Ruru » 2005-12-06 01:22

呵呵....wale....我知道我的盲點在哪裡了...原來我以直把條件未說明之處,全都假設做滿
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