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[原创]2006年10月jj讨论稿第6篇(325--425)更新至425题。

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楼主
发表于 2006-10-20 01:06:00 | 只看该作者

[原创]2006年10月jj讨论稿第6篇(325--425)更新至425题。

325. A knife company enlisted N people to sale 200 knives each, and each man then enlisted N more people to sell 200 knives each. If everyone sold their 200 knives, what is the value of N?

1). The first N people sold 1/9 of all knives sold.

2). 14,400 knives were sold in total.

D  总共的人数:N+N2   1N/N+N2=1/9   N=8      2200* N+N2=14400  N=8

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326. Someone is trying to remember a phone number but cannot remember the whole number. He remembers 286-XXXX. He also remembers that the last 4 numbers must contain two 2 and a 7 and a 9. How many possible combinations are there?

P44/P22

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327. Points (-4,0) and (4,0) lie on a certain circle, what is the greatest possible radius of the circle?

Answer: infinity

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328. What is the units digit of 26820?

Answer: 6 

The properties of the units?digit of a^n , where a is a natural number.

1). The units?digit of 2^n cycles in 2, 4, 8, 6.

2). The units?digit of 3^n cycles in 3, 9, 7, 1

3). The units?digit of 4^n cycles in 4, 6

4). The units?digit of 6^n only can be 6.

5). The units?digit of 7^n cycles in 7, 9, 3, 1

6). The units?digit of 8^n cycles in 8, 4, 2, 6

7). The units?digit of 9^n cycles in 9, 1

-------------------------------------------------------

329. Someone has $62.00 to spend. Her shopping list includes a $16.95 purse, a $21.00 shirt, and a $39.50 telephone. She must pay 6 percent sales tax on her purchases. Which items should she buy if she wants to spend as much of the $62.00 as possible?

购买这些东东的含税价分别是:17.96722.2641.87 ,故我认为要买的应该是purse & telephone

-------------------------------------------------------

330. If the sum of all positive factors of integer N is 2N, the integer is a perfect number. Or, a perfect number is a whole number, an integer greater than zero; and when you add up all of the factors less than that number, you get that number. For example, the factors of 6 are 1, 2, 3 and 6. 1 + 2 + 3+6 = 12. 28 also is a perfect number.

What is the sum of all reciprocals of positive factors of 28?

答案2

The factors of 28 are 1, 2, 4, 7, 14and28, so,1+1/2+1/4+1/7+1/14+1/28=2

-------------------------------------------------------

331. A store sold at least 3 items in each of 5 days. Is the number of total items sold in the 5 days greater than 23?

1). One day, 11 items were sold.

2). The numbers of the items sold are consecutive.

B.  1)可能正好是23件,234567 加起来25

-------------------------------------------------------

332. Is abx > aby?

1). ax> ay

2). bx> by

E.  不知道a,b的符号

-------------------------------------------------------

333. What is the area of a right triangle that has a perimeter of length 22 and a hypotenuse with length 10?

X+Y=12  X2+Y2=100  XY分别为6+14,面积为11

-------------------------------------------------------

334. The product of 4 digits of integer abcd is 450, a*b*c*d=450. What is the least possible value of the thousands digit of the number?

答案:2   450=2*5*5*9

-------------------------------------------------------

335. If x>0, y>0, is (1/x)>(1/y)?

1). x>y

2). x=y+1

D

-------------------------------------------------------

336.7售量的median(每天都西了)

1)最后4天都是1

2)7天一共10

D

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337.x^3*y<0?

1) X^5*y<0

2) X^2*y<0

A

-------------------------------------------------------
338.k5的倍, k6除余几?

1)k4除余 3

2)k12除余3

B

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339.isosceles triangle,

1)120

2)63(好象是,忘了)

46+62

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340.sqaurek/16,个边的边长
            

K/64

------------------------------------------------------

341.个长方形(10,高12接一等腰三角形(底10,高12三角形周。不会画图,但愿能看明白。

36

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342.每小种东西4400,生X(有具体数值了)个这种东西要用1pound K材料。24用多少poundK材料

24*4400/X

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343.S^4t^3r^5>0str>0?

1) t>0

2) r>0

E

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344.有抛物线y=x(3-x)
        
中附有简图p点是否在该线下方位置。罗马题型。分别给出3组坐标
            

参看以前JJ题目
            

------------------------------------------------------

345.40% degree, 80% french那道。
        
both degree&french的比例

50%


[此贴子已经被作者于2006-10-22 14:09:01编辑过]

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沙发
 楼主| 发表于 2006-10-20 01:08:00 | 只看该作者

346.abx>aby ?  
1. ax>ay 
2. bx>by

E

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347.n, f(n)表示n除以k后得到的余k是否大于10
   
1f(k+32)=8
  (2) f(k+42)=6

A

------------------------------------------------------

348.个教授老先生,有7PROJECT,分他老人家的A,B,C个学生,A两个B3C两个多少分法?

C72C53C22

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349.有一240人作卷,回答2个问题,有人答YES,有人答NO,有人不回答。列了表,(字不得了)
             YES    NO   GIVE UP 
 NO1    
 NO2    
其中有60两题都答NO有多少人只NO

题目不全

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350.形,上下底平行,求面,然后1)上底 2)告诉两平行线的距离
   

E

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351.矩形在左下角去一小矩形形成的六形,原矩形右边长20,上面的边长y; 去的小矩形上面边长6,右面边长12去后下面的边长x
  
这个形是一,要用两块地毯不重的盖住,问较大的地毯的面
                1
y=
                2
x=某数        

D

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352.有一堆球,红球和白球,问红球是否白球的四倍
1)     
任意取一个,是红球的概率是0.8
2)     
红球有60

A

------------------------------------------------------

353.一个什么旅行社最后五天的每天都有至少3个观光的计划,这里要注意是用each of the last 5 days,不是每个最后5,5天的总数是不是大于23
1.
其中有一天大于11个计划
2
每天都不同

D

------------------------------------------------------

354X^2+Y是不是奇数
1 Y=3X+5
2 Y=4X-1

A 因为X^2+Y=X^2+3X+5 =X*(X+3)+5  一个数乘以比这个数大3的数肯定是奇偶相乘得偶数(0除外),再加5肯定是奇数

------------------------------------------------------

355.Mary invested M dollars for interest rate n percent simple annually and Kevin invested K dollars for x percent compound semiannually  whose total interest is more in first two(我的题是一年) years
1) M >K
2) n>x

E

------------------------------------------------------

356. 5~200 -1~-200的和...

答案选-10

------------------------------------------------------

357. If the smallest number in a set of positive integers is 3, how many numbers does the set

have?
1). The average of the set is 6
2). The range of the set is equal to the average of the set

这个题没说明是连续整数?????

------------------------------------------------------

358. (x+1)(/x/-1)>0

可以算出x>1

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359 .79除以161,再乘以(22-18)的平方...

原作者: 0。但我算不出正确答案来

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360.一道广的算面...上面一等腰三角...下面一梯形的...

100.题目不全

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361. 一堆究人...120...多少多少要上多少小...如果每人都要每星期做35究或者上...

28小时。参看以前JJ,此题不全              

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362. 一个长方体...24×22×20...被一个每个边都宽1的东西包住...求这个东西的体积...

原作者:大概是6000。我的结果 26*24*22-24*22*20=3168

------------------------------------------------------

363. 100cm1m...200平方cm是多少平方m...

得出0.02...

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364.给出三行数列

0/1                                         1/1

0/1                   1/2                   1/1

0/1        1/3       1/2        2/3         1/1

答案是7...

------------------------------------------------------

365.正方形abcd,正三角形abe,de=dc,求角ecd,

a.10<x<20,可以求得是15...

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366. AB=BC=8, CD=2, BC都是直角, AE=ED=13, 求他們的面積
   

无图。好像以前JJ里有

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367. 咚咚J有的目是M2倍且比F6;若JF分别给M这个咚咚 --- J10个,FX个,之后三人拥有的数目相等。问M本来有多少个这样的咚咚

J=2M=F-6  J-10=F-X=M+10+X        M=36

------------------------------------------------------

368. x = 0.abc,问x 2/3

1a+b > 14

 (2) a+c > 15

D

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369. xy, z都是质数,问xyz可以有的因子的数目?

8

------------------------------------------------------

370.
  
两个圆圆O,P, 相切否?

1OP的距离是两圆的和
   

2两个圆的交点目少于2

A


[此贴子已经被作者于2006-10-22 11:37:07编辑过]
板凳
 楼主| 发表于 2006-10-20 01:08:00 | 只看该作者

371. (x+y)1^2 = ? (1) x1^2 + y1^2 = 6 (2) (xy)1^2=49

E

---------------------------------------

372 .X人,10<X<40, 如按4人一余一3人,如按5人一3人;如按每6人一,最后一桌会余几人(原不是这么问的,大意思是些)

5人。X=23

----------------------------------------

373. 5m < m+5 < 10, m是多少 
(1) m是奇
(2m为正

C

-----------------------------------------

374.
  
斜率在510之间的某直线上有某点(23),问以下哪个点可能在这条直线上
   

(答案(4,14) (14-3)/(4-2)=5.5

------------------------------------------

375. 150的和,和51100的和,差是多少

2500

-----------------------------------------

376. (-1,3)
  
2-1)为对点的矩形的周长是多少?

14

-----------------------------------------

377. 海豚同方向前游,快的15 miles per hour但落后慢的开始,慢的10 miles per hour,半小时后两者相距多远?

题目不清

----------------------------------------

378.  有一个房间安装有自动亮的灯,每当有人开门进出的时候灯就会亮15分钟,然后熄灭。给了一个表,写有从8点到10点有多少次门被打开,问总共熄灭的时间是多少。

原作者:(数数,三段时间可以关灯,分别是8413分钟 --- 顺序记不清了,总之是25分钟)

----------------------------------------

379. When x+y is divided by 5, the remainder is 1; when x+z is divided by 5, the remainder is 2; when y+z is divided by 5, the remainder is 3. What is the remainder when x+y+z is divided by 5?

3         

-----------------------------------------

380. @K=K+1若K奇/=K-1若K偶,求@A平方+@B是偶 1a is even 2) b is odd   

参看以前JJ

----------------------------------------

381. 1.5公斤的XX6公斤的巴西豆乎在一起,XX价是巴西豆的4倍,得价1.5大洋/250,最后乎物得的总进价多50%XX价多少

10大洋。设巴西豆的单价是X
                    (1+50%)*
1.5*4X+6X=1.5/0.25*(1.5+6)  X=2.5  XX的单价是4*X=10

10大洋。设巴西豆的单价是X
            (1+50%)*
1.5*4X+6X=1.5/0.25*(1.5+6)  X=2.5  XX的单价是4*X=10

---------------------------------------

382. ABCDEFG理一次DABCGEF,依次理,多少次可以ABCDEFG

不会~

----------------------------------------

383.很多JJ,印象中有一卡住了,做好,是倒第二,柱壮图,求MEDIAN,但是直接把示的数进行排序是不的,一共有11个数,抱歉我不起的。之大家要到此要小心。
------------------------------------------

384.一个坐标,里面有一个三角形。求三角形面积,各点都知道.

-----------------------------------------

379.10个数的和是28,而且这10个数的RANGE2,10个数中是3的个数可能为:
   

0,5,9

A:5ONLY

B:9ONLY

C:忘记了,反正是两个数组合

D:

E

我选09那项

---------------------------------------

380. m p g 人比年,M君十年前比P大多少多少P君比M14年前小多少多少G君自己年比几年前大多少多少。求三人的年大小排序。得我大了,了我10,最后还没算出,估计错了。(均不准确,供考)
数学计算

--------------------------------------

381.妇买quadrilateral的地(当时知道是4形,但忘了是不是平行四形),要围个fencefence多少  1了面 2了四条边mean是多少,

B

--------------------------------------

382.T是一字母序列,经过特定的变换这种变换律是根据被变换的序列里的字母位置行。字母序列abcdefg经过变换变为bcdagef问统经过几次变换该字母序列会变回原序。
   

282

---------------------------------------
383.
下面是个正方形套一个等边三角形,问角x的范围。

10<x<20

20<x<30

30<x<40

40<x<50

50<x<60

A

---------------------------------------

384.两个六面的色子扔来扔去,问扔出来一个色子面朝上的数字比另一个大二的概率。

2/9

---------------------------------------
385.
调查360个什么人,75%le stock40% 买了bond15%啥也没买。问买了股票而没买债券的人数。

45%

---------------------------------------

386.两个平面和一个球相切,切点分别是PQ,问PQ的长度

(1)   俩平面平行

(2)   半径是10

C

----------------------------------------
386.直角坐标系里有直线y=c,把图中阴影部分分为面积相等的两块,问c

题目不全

-----------------------------------------

387. If X^r = Y^ t  ; r<t 下面哪个是正确的, 会有五个选项, I X is the mutiple of Y
II Y is the mutiple of X
III r is the mutiple of t   (
不确定是r在前还是在后,但此选项应该是错的)

作者:我选I是对的那个选项。同意。

-------------------------------------

388.
  
有一述我忘了, 但大意是有十二周, 第二周起比前一3(米忘了), 12周的是第二和第三的合,求第十二周的
(
第一周x, 第二x+3………..第二十周 x+3.11=x+3+x+3*2)  答案:57


[此贴子已经被作者于2006-10-22 11:47:10编辑过]
地板
 楼主| 发表于 2006-10-20 01:08:00 | 只看该作者

389. X5的倍, X6的余?
A: X
除以4数为
3
B: X
除以12数为
3
B

--------------------------------------

390. 一提的述挺, 大意就是在一象限, AB, , B的坐?
A:
A的坐 (字我忘了)
B. (
这个条件我也忘了,可是没办B的坐)
答案:A   ??????

------------------------------------------------------

------------------------------------------------------

391. Y12个数字的合, Y<-4?
A: Y
连续
B:
Y合中,的整比正的
答案:C

------------------------------------------------------

392.人今年做simple interest rate投资,问interest rate多少。
   

1)此人今年每投资60美元获利1.98美元

2)此人今年每投资20美元获利0.66美元

两个条件一样,选D

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393.61.scientist studies the migration trend of a group of geese. The group contains 30% male geese. Among the geese that later on migrated, 20% are male. What is the ratio of migration factor for male geese to the migration facotr for female geese? (migration factor for sex X = number of migrated individual with sex X/total number of individuals with sex X)

Answer:

Let x be the number of geese, and y be the number of migrating geese.

Then, the male goose migrating rate is 20%y/30%x=2y/3x

The female goose migrating rate is 80%y/70%x=8y/7x

The ratio between two rates is (2y/3x)/(8y/7x)=7/12

----------------------------------------------------
394.连续数列中最小的是3,问整个数列有几个数字
      
 (1) (忘记了,是不成立的

  (2) 最大的数=average+3

题目不全~

----------------------------------------------------
395.What is the value of 2/5 of 1/2 of 7

答案:7/5。以前JJ

----------------------------------------------------

396.平行四边形 ABCD,BC=6,高是2,BAD夹角30,问面积

面积12。夹角的度数估计只是为了确定BC的位置

----------------------------------------------------

397. DS[d] represents the least interger larger than or equal to d, is [2d]=0?
         
条件
1: [d]=0
         
条件2: [3d]=0

这个不确定,是选C么?

----------------------------------------------------

398.club15人,abc种语言,三的一人,a1/3b2/3c3/5问会2的共几人

75+10+9-1*2=7

----------------------------------------------------

399. bank deposit account, initial investment is 10,000, 然后第一、二、三季的利息分$180$190$200到全年8%的利息率第4季的利息要是多少?

SA10,000*8%-(180+190+200)=230

----------------------------------------------------

400. 一个定义式@吧,当Keven的时候@=K-1,当Kodd的时候@=K+1(这里evenodd到底是对应k-1还是k+1我不是很确定)ab都是integer,问@a2*@b是不是even?

(1)    aodd

(2)    bodd

D

------------------------------------------------------

393.61.scientist studies the migration trend of a group of geese. The group contains 30% male geese. Among the geese that later on migrated, 20% are male. What is the ratio of migration factor for male geese to the migration facotr for female geese? (migration factor for sex X = number of migrated individual with sex X/total number of individuals with sex X)

Answer:

Let x be the number of geese, and y be the number of migrating geese.

Then, the male goose migrating rate is 20%y/30%x=2y/3x

The female goose migrating rate is 80%y/70%x=8y/7x

The ratio between two rates is (2y/3x)/(8y/7x)=7/12

----------------------------------------------------
394.连续数列中最小的是3,问整个数列有几个数字
      
 (1) (忘记了,是不成立的

  (2) 最大的数=average+3

题目不全~

----------------------------------------------------
395.What is the value of 2/5 of 1/2 of 7

答案:7/5。以前JJ

----------------------------------------------------

396.平行四边形 ABCD,BC=6,高是2,BAD夹角30,问面积

面积12。夹角的度数估计只是为了确定BC的位置

----------------------------------------------------

397. DS[d] represents the least interger larger than or equal to d, is [2d]=0?
         
条件
1: [d]=0
         
条件2: [3d]=0

这个不确定,是选C么?

----------------------------------------------------

398.club15人,abc种语言,三的一人,a1/3b2/3c3/5问会2的共几人

75+10+9-1*2=7

----------------------------------------------------

399. bank deposit account, initial investment is 10,000, 然后第一、二、三季的利息分$180$190$200到全年8%的利息率第4季的利息要是多少?

SA10,000*8%-(180+190+200)=230

----------------------------------------------------

400. 一个定义式@吧,当Keven的时候@=K-1,当Kodd的时候@=K+1(这里evenodd到底是对应k-1还是k+1我不是很确定)ab都是integer,问@a2*@b是不是even?

(1)    aodd

(2)    bodd

D


[此贴子已经被作者于2006-11-1 10:04:38编辑过]
5#
 楼主| 发表于 2006-10-20 01:09:00 | 只看该作者

401.2A museum 卖票从早上9:0017:55 (INCLUSIVE) 的时间里,每5分钟卖出 a group of 30 张票,regular price is $10 , student price is $6regular tickets的数量是as three times as student ticketsrevenue?

参看以前JJ,不过有人说9:00那次也应该算一次~

----------------------------------------------------

402. Plane P, Q tangent on the sphere S, point M on P, and N on Q. What the distance of PQ?
(1) P, Q parallel
(2) Radius of the Sphere S is ?/P>

C

----------------------------------------------------

403. x=?
(1) Stem translates to x=0/0
(2) Stem tranlates to 1/0
Guess the question tests the knowledge whether 0/0 is defined or not.

不明白题目意思

----------------------------------------------------

405. A jar contains 10 red balls and 10 green balls. If 3 balls are removed at random without replacement, what is the probability that all 3 balls removed from the jar are green?

C103/C203

----------------------------------------------------

406. A bathroom door with a timer that sets the light reset for 15 minutes everytime someone enter or exit, ie if the door is opened by someone, the timer will turn the light on for fifteen minutes unless the door is opened again to reset it for another fifteen minutes  estimated minutes that the light is off during to .
A chart is given with the time that the door is opened during the period
8:00  8:03 .........9:39 (can only remember these end time, just be familiar with the meaning, I spent a lot of time on understanding the problem)

参看以前JJ

----------------------------------------------------

407. how many canyons in the box?
1) envenly divided by a group of four kids, 3 leftover
2) .........................by a group of three kids, 2 leftover (not sure about the number)

E参看以前JJ

----------------------------------------------------

408. Mary invested M dollars for interest rate n percent simple annually and Kevin invested K dollars for x percent compound semiannually  whose total interest is more in first two years
1) M >K
2) n>x

E参看以前JJ

----------------------------------------------------

409. Pumps A, B, and C were used to fill a tank. If rate of A is greater than rate of Bis greater than the rate of C reported here?
(1) A and B together take half the time as C
(2) B takes 3/4th of time taken by C

D

----------------------------------------------------

410. Is |x-z|>|x-y|
(1) |z|>|y|
(2) 0>x

E

----------------------------------------------------

411. If the smallest number in a set of positive integers is 3, how many numbers does the set have?
(1) The set is average of 6
(2) Range of the set is equal to the average of the set

C

----------------------------------------------------

412. A=0.abc asked a few of the 10 is the smallest?
(1) a+b>14
(2) b+c>15

D

----------------------------------------------------

413. If a prime factor multiplied by the number of all the different product than the square root of it. it is a certain number (for a definition I have forgotten), and then asked, what is below the minimum possible number.
reference Ans: 96

----------------------------------------------------

414. In warehouse there are some boxes divided in stacks, each has 12.After adding 60 more, each has 14.How many boxes before adding?
1)boxes<110 before adding
2)boxes<120 after adding

参看267题讨论:B;设以前为Xx=12a, 12a+60=14b, 条件112a<110, 满足前提的有a=2, a=9,不成立,条件214b<120,满足只有a=2

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415. Is the standard deviation of a certain set greater than 15,000?
1). The range of the set is 25,000
2). The mean of the set is 150,000

参看以前JJ,但答案不确定~

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416. A line slope is between 5-10, and point (2,3) is on the line. Which points can the line pass through?
A(4, 6)   B(4, 10)  C(4, 46)

应该是(414

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417. A is ahead of B by 10m, at different constant speed in the same direction. Something about who is over he speed limit.
(1) B
speed is 10m/h faster than the speed limit and A is 10m/h slower than the speed limit
(2) B
speed is ?/P>

A  参看以前JJ

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418. x > 1? 
(1) (x+1)( |x|-1) > 0
(2) |x| > 5

A

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419.If (1/3)^k <1/81, where k is an integer, k=?

1). k is the odd number smaller than 12

2). k is the prime number smaller than 12

B  But Answer is E if there is -ve sign before K.

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420. [(20-1+30-1)/2]-1 ?

23

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421. (2)^-2/(1/2)^-3

Ans. 1/32

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422. What is the value of 3/5 of 1/2 of 7

Ans. 21/10

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423. A person earns $ 15 for each of the first eight days, and then double the amount for the next days. How much did the person earn in 10 days?

15*8+15*2+15*4=210,有人得180

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424. In which quadrants do the roots of the equation lie, given x and y are integers: Y = (x-2)2 -1?

E,不确定

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425. Someone invested in a certain account at a simple interest rate. What is the interest rate?

1). First year, he earned an interest of $3.8 from each $100 he invested.

2). First year, he earned an interest of $1.9 from each $50 he invested.

D


[此贴子已经被作者于2006-10-22 13:52:47编辑过]
6#
 楼主| 发表于 2006-10-20 01:10:00 | 只看该作者
太困了~ 这几天睡眠严重不足~~ 先去睡了,明天早上起来继续工作~~
7#
发表于 2006-10-20 22:47:00 | 只看该作者

372 .X个人,10<X<40, 如按4人一桌余一桌3人,如按5人一桌余3人;问如按每6人一桌,最后一桌会余几人(原题不是这么问的,大概意思是这些)

讨论2X=4a+3X=5b+3, x=4a=5b=20,除62

通项公式是:x=20c+23,因为10<X<40,所以x=23,除65

请问这一题, 答案是2还是5??

8#
发表于 2006-10-20 22:52:00 | 只看该作者

327题,A不是正好给出了相反的答案么?应该选A吧。。。

320 should be 1-(3^-1/2)/2    has it been discussed?

9#
发表于 2006-10-20 22:53:00 | 只看该作者
以下是引用kikhorse在2006-10-20 22:47:00的发言:

372 .X个人,10<X<40, 如按4人一桌余一桌3人,如按5人一桌余3人;问如按每6人一桌,最后一桌会余几人(原题不是这么问的,大概意思是这些)

讨论2X=4a+3X=5b+3, x=4a=5b=20,除62

通项公式是:x=20c+23,因为10<X<40,所以x=23,除65

请问这一题, 答案是2还是5??

it has been disscussed, shoud be 5
10#
发表于 2006-10-21 01:17:00 | 只看该作者

327. 4< 3m < 6?

    1. m<-1

2. m> -2

4< 3m < 6得,4/3<m<2    E

Should be A

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