作者pilichat (人生需要不断冒险)
看板GMAT
标题[计量] PP-DS 77, 144
时间Fri Aug 21 17:10:28 2009
两题数学~没有找到可以让我了解的解法
请教大家.谢谢!
77. 9031-!-item-!-187;#058&006222
At a dinner party, 5 people are to be seated around a circular table.
Two seating arrangements are considered different only when the
positions of the people are different relative to each other.
What is the total number of different possible seating arrangements
for the group?
(A) 5
(B) 10
(C) 24
(D) 32
(E) 120
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【答案】C
【思路】
若为一直线排法 为5!
但此题目为圆形
五个人排圈圈...
ABCDE
BCDEA
CDEAB
DEABC
EABCD
都是一样
故排圈圈时就是5!/5=4!
( 除以五是为了消除每次相邻位置改变时都会有重复的情况)
-->不懂为何是除以5? 不是减5?
144. If $1,000 is deposited in a certain bank account and remains
in the account along with any accumulated interest, the dollar
amount of interest, I , earned by the deposit in the first n years
is given by the formula I =1000〔(1 + r/100 )^n - 1〕 , where r percent
is the annual interest rate paid by the bank.
Is the annual interest rate paid by the bank greater than 8 percent?
(1) The deposit earns a total of $210 in interest in the first two years.
(2) ( 1 + r/100 )^2 > 1.15
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【答案】A
【思路】
(1)
210 = 1000
0.21=1+ + -1
0.21= +
求得166.4….. The deposit earns a total of $210 in interest in the first two years.
是的…….sufficient
-->这个我的想法是,interest 有了,不用算出答案也充分.因为不管答案是大於还是小於
8%,都一定有一个唯一解~快速看下一个条件
(2)
>1.15
=1+2 + >1.15
=10000+200r+r2>11500
= >11500
=r+100>105(大约值)
所以 r 可能大於也可能小於 8……insufficient
--> 请问这个条件有更快的检验方式吗?
这解法有点花时间
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Que Pasa
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1F:推 ipas3:144. (1.08)^2=1.16 故(1.0r)^2>1.15 insufficient 08/22 09:36