最头痛这样的题了!!

小I爱漂漂 · 发表于 2004-12-5 13:13:00

Question # 37,

During a 7-year period the profits of Midas, Inc. changed by what percent from the sixth year to the seventh year?

(1) The profits of Midas, Inc. during the seventh year were 50 percent greater than the profits during the third year.

(2) The increase in the profits of Midas, Inc. was the same for each year during the 7-year period.

A) Statement (1) BY ITSELF is sufficient to answer the question, but statement (2) by itself is not.

B) Statement (2) BY ITSELF is sufficient to answer the question, but statement (1) by itself is not.

C) Statements (1) and (2) TAKEN TOGETHER are sufficient to answer the question, even though NEITHER statement BY ITSELF is sufficient.

D) Either statement BY ITSELF is sufficient to answer the question.

E) Statements (1) and (2) TAKEN TOGETHER are NOT sufficient to answer the question,

答案选C,不太明白.主要是觉得STATEMENT1和STATEMENT2是矛盾的.因为我觉得2中说每年的PROFIT增长是一样的,1又说第7年的PROFIT增长比第3年的多50%.????

我想是不是应该把2理解成为每年增长百分率相同呀?但是答案解释中说是增长AMOUNT相同???那我就觉得STATEMENT1和STATEMENT2岂不是自相矛盾的??? 请求指点!!

aiaidi · 发表于 2004-12-5 14:28:00

QX7-X6)/X6=?

(1) X5=X3*(1+50%)

(2) (X7-X6)/X6=(X6-X5)/X5=(X5-X4)/X4=(X4-X3)/X3=.............

当然是BOTH啦

小I爱漂漂 · 发表于 2004-12-5 16:30:00

那楼上的意思就是说STATEMENT2中说的是增长率相同了???但是它的解释是说增长AMOUNT相同.而且你的方程我怎么觉得解不出来呢?

aiaidi · 发表于 2004-12-5 18:51:00

根据（2）：（X5-X4）/X4=（X4-X3）/X3

——》 X5/X4=X4/X3

——》 X5*X3=X4*X4

将（1）X5=X3*1.5 代入上式,

-> X3*X3*1.5=X4*X4

-> X4/X3=v(1.5) (根号下1.5)

-> (X7-X6)/X6=(X4-X3)/X3=X4/X3-1=V(1.5)-1

其实如果(2)不是增长率,而是增长,就不可以得出BOTH的结论的,而是NEITHER

(2) V7-V6=V6-V5=V5-V4=V4-V3=...........

缺少比较的基数

要不你把答案中的解释贴出来看看啊,你贴的题目内容其实也不是很清楚.

这是哪的题目啊?

bluevironika · 发表于 2004-12-5 21:02:00

不用算，太麻烦了。题目问7年对6年的增张比例，你要知道的是六月和七月分别是多少。1）告诉你7年比3年多50%，2）告诉你各年的增长比例相同。你可以倒推，7年比3年多50%，那6年就比三年多40%。实在要算，设三年为A，则六年为1.4A，七年为1.5A。

还有个可能就是，他的增长不是固定百分比，而是以其中的某一年（比如第一年）为基础的复利式增长：即后年数=前年*（1+10%），依次。但是仔细的观察，发现条件也是足够的。

不知道说明白了没，见笑了

[此贴子已经被作者于2004-12-5 21:05:40编辑过]

agk99 · 发表于 2004-12-5 22:30:00

小I

這沒那麼麻煩的，而且，條件一和條件二是沒有衝突的。你說增長率和增長量讓你搞混，事實上，不論是amount還是percentage，都是可以算出結果的。

那麼，既然沒有矛盾，我想條件一二加總就是你要的答案囉，參考參考

小I爱漂漂 · 发表于 2004-12-12 06:07:00

回AIAIDI GG,这道题是我在CD上下载的什么800Score的五套题中的第二套里面的,我也不知道有没有用.

它的答案解释是C) Here you want to find the percent increase in profits from the sixth year to the seventh year. To find this you would need to know the profits in each of these years or some sort of ratio relating the profits in these years.
Statement 1: This statement taken by itself is insufficient because it doesn't relate the sixth and seventh years in any way.
Statement 2: This statement taken by itself is also insufficient, because even though the increase in profits was the same each year, that same increase can have different values. That is, the increase could have been $1,000,000 each year or $10,000,000, or anything else. You also have no information about what the profits were in the sixth year, so Statement (2) will not enable you to answer the question.
Statements 1 & 2: Call the profits in the third year P. Then Statement (1) tells you that the profits in the seventh year were 50% greater than the third year , or Statement (2) then tells you that the profits increased the same amount from one year to the next. HERE COMES THE TRICK: to actually solve this question you have to take the 3rd year's profit, multiply it by a factor of the set increase (according to Statement 2 profits increase by the same amount each year) and compound this through year 4, 5, 6, and 7 to get the 50% increase. Essentially, it is '(100%+x) to the fourth power = 150%, solve for x'. Since you COULD solve this question (even though you shouldn't waste you time on it during the tests), the answer is C. All Data Sufficiency questions want to know is 'Can you solve this question with the statements shown.' Sometimes you shouldn't waste your time actually doing the calculation.

有点长,不好意思!!!

回AGK99 GG,你说的是不是什么两个条件不矛盾,就是选C的什么原则???不太明白??请指教!

jasonhercules · 发表于 2004-12-12 23:53:00

以下是引用小I爱漂漂在2004-12-5 13:13:00的发言：
Question # 37,