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7月份数学机经总结

1.一个圆,圆周上有10个点,问能组成的六边形(hexagon,关键是考是否认识这个词)的个数
答案:C10,6

2.有300个教授,有75%的人投资股票,45%的人投资债券,15%的人没做任何投资,问投资股票而没有投资债券的人有多少?
答案:120

3.(去年7月JJ-119) 一个盒子里有12个球:1个红球,5个蓝球,4个绿球,2个黄球,问不放回的取,前5个都是蓝色的概率是多少??
答案:1/12*1/11*1/10*1/9*1/8

4. 一个直角三角形的一边边长是10,下面哪几组有可能是这个三角形的其他两个边长
i)6、8; ii) 15/2、25/2;iii)40/3,50/3
答案:i,ii,iii

5. DS题:一个人买了7件衣服,其中一件coat,共花了365元(不含税),如果对于100元以上的衣服每件税收是7%,100元以下的衣服免税,那么这7件衣服的税收一共是多少?
1) coat的价格是125元;
2)其他6件衣服的平均价格是40元
答案:

6.一个数列一共有5个数,第1个是10000,后面每个数是前一个数的20%,问这个数列的range
答案:

7. 4个连续正整数,r 答案:

8. 说一基准单位=0.01%,问143基准单位用小数表示等于多少?
答案:

9.DS:问s+t>0?
1)s-t>0;
2) s^2-t^2>0
答案:

10.a, b, a+b都是质数,问以下哪一个必然成立。(代入法推一下就能出来了)
答案:

11.DS:有两个水管X、Y,一起给一个水池灌水,需要10小时,问如果X单独灌,需要多少时间? 1)X灌一小时能灌满more than 1/30; 2)Y灌1小时能罐满水池的1/30
答案:

12.有图,一个圆内接了一个矩形,问矩形的面积?
1)知道圆的半径是8;
2)知道AD(矩形的其中一个边长)为5。
答案:

13.X除5的余数为r,Y除5的余数为s,问r跟s是否相等?
1)X-Y可以被5整除;
2)X+Y可以被5整除。
答案:

14.(去年JJ-73.)有5个人赛跑,其中有Meg和Bob,没有两个人同时通过终点,问Meg比Bob先通过终点有多少种可能?
答案:

15.(去年7月JJ-81.) S-SCALE和R-SCALE的MEASUREMENT不同,但都是线形表示的。S-SCALE里的6和24在R-SCALE里是60和30。问,R-SCALE里的100在S-SCALE里是多少? (具体数字现记不大清了,可能有误)
答案:

16.W=K/r^2,K为常数;已知在r=4000时,W为200,问r=5600时候,W等于多少?
答案:

17.(去年7月JJ-94.) 下面哪个是有限小数:
i. 1/12
ii. 1/2^10
iii. 好象是1/25
答案:ii,iii

18.已知0.2m5,问m=?1)0.2m5<1/4;2)m>3.
答案:C

19.已知F(x)=x^2-6,问如果F(x)=x时,X的最大值是什么?
答案:3

20.3个数,75、98、140,M是这三个数的公倍数,问M可以被以下哪个数除尽?
答案:

21.两个圆柱体,一个的半径是3,高是5,另一个的半径是2,高是4,问体积差。
答案:

22.一个公司,参加工会的人的平均工资是多少多少(具体数字记不得了,但不影响答题),没参加工会的人的平均工资是多少多少,问该公司的全部员工的平均工资是多少?1)参加工会的人是没参加工会的人数的19倍;2)没参加工会的人是公司全部员工的1/20。
答案:

23.两种商品,A、B,A有460件,每件46元,B有240件,每件28元,A的打折方法是100件以上的每件的价格是原价的50%,B打折的方法是用4件的钱买5件产品,问这700件产品discounted price跟原价比相差多少?
答案:

24.First 1/7 mile 1.52$, addtional 1/7 MILE 0.33$, 一共4.6MILE, 一共要花多少钱?
答案:

25.那道abcde比较大小的题目a 最大 b比a少5000,...老jj
答案:

26.1.00001*0.99999-1.00002*0.99998 3*10^-10
答案:

27.某人以匀速绕圈跑,跑了300M,正好是起点,问园的半径,选项有150/派,120/排 25/排(注意TRACK),这是罗马数字题,复选
答案:

28.ds |x|<1?
i |x+1|=2|x-1|
ii |x-3|不等于0
答案:

29.飞机表面能反射80%的光,某东东吸收40%反射的光,问多少percent反射没吸收
答案:

30.95年k的profit占总profit的50%,96年K德PROFIT比95年上涨30%,其他组成PROFIT的部分不变,问96年K的PROFIT占总PROFIT的多少
答案:

31.巧克力的每块重量减少,售价不变,问价格/重量变化多少???
i.每块重量下降2克
ii 每块重量下降16.8%
答案:

32.平行四边形EFGH的对角线EG长度??
i 知道一条边EF的长度
II知道另一条边EH的长度
答案:

33.50%德MALE35岁以下,40%德FEMAIL35岁以下,42%的总人数35岁以下,问FEMAIL占总人数的多少?
答案:

34.儿童票16元,成人票24元,问成人比儿童的比率
I 儿童票的销售收入是成人票的4/3(数字忘了,领会精神)
II 两种票的总收入2200元
答案:

35.某车时速50MILE,1 MILE=5280 FEET 问700FEET 要开多少SECONDS?
答案:

36.34/67 1 1/2 2。3/4 3 151/200
答案:

37.S等于A,B,C的平均数的1/2,A=13 B=14 C=15
X=S(S-A)(S-B)(S-C)的平方根,问X
答案:

38.J 和R都卖汽车,问J卖了多少
i J比R多2
II R比j的2倍多4
答案:

39.某人收集纪念邮票,一共有10种,他已有3种,又得到2张,问这两张邮票正好是他没有的可能性。
答案:

40.(DI2) Is 四边形ABCD a square. (DI2 : difficult indix 2)
1) AB=BC=CD=DA
2) angle abc+angle bcd=180
答案: E

41. (DI2) ask product A price.
1) Three A and five B cost $12.25
2) Nine A and fifteen B cost $36.75
答案:E

42. (DI5) deposit $1000 in an account, annual rate x percent (compound quarterly) , no other activity for this account, ask is account balance over $1050 after one year.
1) (1+x/200)^2 > 1.05
2) (1+x/400)^2 >1.025
答案:B

43. (DI5) A club has members more than 10 and less than 40. They normally sit in two ways. First, one table with 3, and other tables with 4. Second, one table with 3, other tables with 5. But today the site in another way, all table with 6 persons except one table. Ask today how many persons sit beside that table.
A) 1
B) 2
C) 3
D) 4
E) 5
答案: 5

44. (DI5) Five racers in a competition, not tie, ask how many possibilities A is ahead of B.
A) 24
B) 30
C) 60
D) 90
E) 120
答案: C

45. (DI2) 100 persons in a survey, 60 persons answered at least one \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"No\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\" to the questions. 50 persons answered at least two \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"No\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"s to the questions. Ask the proportion of person who answered only one \\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"No\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\"
答案:10%

46. (DI3) In a blacket there are four kind of fruit. Pear 7, Peach 9, orange and apple have the same number. Ask the number of apple.
1) From blacket pick one, the posibility of apple is 1/6
2) ??? Forgot ...... (But it can get the number of apple)
答案:D

47. (DI3) The proportion of students study arts is 40%, medician is 46%. Ask proportion of students study medician only.
1) In the students study arts, also 30% of them also study medician
2) 26% study none of them
答案:D

48. (DI4) Two right cylinders A and B. B\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s radius is x and high y, A\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s radius is twice as B and height is half of B\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s. Ask surface area difference.
答案:6x^2*PI

49. (DI3) A right triangle with one side length 10 inches. Ask with one of following could be sides of the other two sides in inches.
I) 6, 8
II) 15/2, 25/2
III) 40/3, 50/3
A) I
B) II
C) I, II
D) I, II
E) I, II, III
答案: E

50. (DI1) A pipe, fill X gallon water per hour, fullfill a pool in 9 hours. how many hours would be, if the pipe fill the pool with a speed of (X+5) gallon per hour.
答案: 9x/(x+5)

51. (DI3) denote the product from 1 to K as (*k*), if (*24*)/10^n is an integer. (K and N are integers). Ask maxium of n.
答案: 4

52. (DI1) (2-1/2)/(2+1/2)=? (My first one)
答案:3/5

53. (DI1) if 81^y=1/27^x, then x in term of y?
答案:x=-4y/3

54. (DI2) 1/(81-4*sqr(5))=? 注:sqr(5)=5^(1/2)
答案:81+4*sqr(5)

55. (DI3) consequent 7 integer, ask for mean
1) the sum of maxium two is 9
2) the sum of minium two is -1
答案: D

56. (DI4) Line L pass point (a, b) and (c,d), ask if slope <0
1) (a-c)*(b-d)<0
2) Line L product of 两轴截距 >0
答案: D

57. (DI2) In a theater first row has 16 seats, next row has two more seats than the front row, last row has 64 seats. ask how many seats total.
答案: 1000

58. (DI4) A, B and A+B are prime integers 1 A) B is even
B) A is odd
C) A+B is even
D) A>5
E) ?? forgot
答案:D

59. (DI3) Three same size pipe fill a pool, ask the time of using all three is how many hours less than using two.
1) ?? forgot (maybe the time difference of using two and one.)
2) need 6 hours to fill if only one is in use
答案: D

60. (DI2) point A and B in a number line (middle is zero), ask A-B>0?
1) A is at right of B
2) A and B are on the opposite side of zero.
答案:A

61. (DI3) A number line point (A diagram on screen) r, s, t, u, v, and w which are locate at 0.4, 0.5, 1.2, 1.5, 2.2 and 2.5. if point p is between r and s, point q is between t and u, ask q/p could be in which area.
答案: Between v and w. (Which is the choice E)

62. (DI2) Febuary sales is 20% increase than January, March saless is 14% decrease than Feb. If March sales is 1.2M, what is the Jan sales in million.
答案: 1.16 (Which the choice is C)

63. (DI2) A product gross profit is 150% of its cost. if its sale price is 65. ask for cost.
答案: 26

64. (DI4) A sales manager\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s salary has two parts of commission, 20% of his sales amount and 10% of sales ammount of employee he supervisored. ask in January that manager\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\'s commission of the sales of his own.
1) Febuary the sales amount of his own and the employees under him increased 20% and 30%.
2) Febuary the sales amount if his own and the employees under him were N1 and N2 (forgot numbers)
答案: C (I chose B first, it is very long)

65.x<=-2, 问 x/2, x, 2x, x3 , x2 的range?
答案:( x3 , x2 )(记不太清了)

66.m、n、p三个数,mean=10, 最大与最小相差3,求median可能是哪个?
答案:9 ,10, 11,罗马数字题:答案为9,11的组合

67.公司4个员工的salary分别为40,50,70,80, 问新来的(第五个)员工工资为多少,使其等于这五人的平均数。
答案:60

68.7个红西红柿,5个绿西红柿,问取3个都是红的概率
答案:7/12 * 6/11 * 5/10 = 7/44

69.已知两个方程:r= 2s+3(数记不太清了,反正是r和s的关系),s=1-3t, 求 r 用 t 表示:
答案:s=5-6t

70.已知二元一次方程,其中b未知,问b为何值时,方程有相同解(唯一解)
答案:利用b2-4ac=0,即可求出b(a,c已知)

71.等差数列已知a1 和 a17, 求 a25
答案:

72.(20的平方根 - 5的平方根)/ 5的平方根=?
答案:1

73.一商品原价为50(第一年),以后每年减价为上一年的价格与40的差值的20%,问第3年的价格
答案:第二年:50 - (50-40)*0.2=48, 第三年:48 - (48-40)*0.2= 46.4

74.仓库面积25000(数字记不太准了) square yard, 放了1000个A,1yard=3feet,求每个A的面积为多少square feet,
答案:

75.假设X, 问它的十位数是多少 (A)X*10的百位数是2(B)X减去9后十位数是2
答案:A

76.某公司出tape,首付给singer 25000$(记不太清了), 然后每盘tape给singer 1.5$, 每盘tape价格6.5, 问必须买出多少盘才够本!
答案:

77. 一人投资5000,利率为x%, 另投资N, 利率为y%,N=?
1)二者总利率为900 2)x 为6%
答案:E

78.PS 一个圆上有七点,问组成三角形的个数与组成四边形的比
答案:1:1

79.三个数,中位数为M,平均数为A,问M 条件1:M小于最大数与最小数的平均数
条件2:最大数比A大250,最小数比A小150
答案:

80. 10单位重的R由A和B组成,70%是A,30%是B,问需要从R中拿走多少单位并补上同样重的B,才能使B在R中占的比重是50%
答案:2/0.7

81. 假设X,问它的十位数是多少 
(A)X*10的百位数是2
(B)???(反正不是)
答案:A

82、女生7人,男生5人,从中选两人均是女生的概率
答案:C(7,2)/C(12,2)

83、一个长方形,周长是560,对角线是200,求面积
答案:120*160

84.There are 31 white cars, 17 blue cars and 12 red cars. The models are large size, middle size and small size. Ask: how many white cars with large size.
A) The large size models have no blue and red cars;
B) large size cars are more than middle size and small size cars.
答案:

85.告诉长方形的周长为560,对角线是200,问面积?
答案:19200

86.0.5/(1/8+0.25)=? 我的第一题
答案:4/3

87. 48000本书还是什么的被销售,他们的平均值是$25,问最低价是多少?
A) 最高价和最低价的差为$6.24
B) 超过25块的是少于25块的2倍
答案:E

88. 某 点 是 一 个 三 角 形 的 vertex,在 Y轴 上 (0 , 3),直 角 三 角 形 的 边 和 X 轴 的 交 点 是 (4,0) 和 (B, 0), 问 B 点 是 多 少 ?
答案:

89.一个四边形ABCD(有图:类似梯形,但是四条边都不平行),其中两条对角线AD与BC垂直相交,AD=8,BC=6, 求面积。
答案:24。

90.ds: 有图比较简单,三条直线相交,其中有两条垂直,顺时针方向有三个角:h, x, r,其中x和r不是对顶角,求x.
(1)h=30
(2)r=120
答案:

91.ps: 有一个图(表格状的长方形)一种有4个点,其中A和D是相对的两个顶点,B和C在表格中,并又形成了大长方形里的一个小长方形的两个相对的顶点,C在上,B在下,B和C所在的横边又有一条竖线相连,说的是一个人从A点进去,必须经过B和C到达D点,问一共有多少种方法。
这道题没有图描述起来很麻烦,看了图会明白很多。
答案:

92.一个地方的人注射疫苗,一种针对R病,一种针对M病。其中注射针对R的人是注射针对M病人的两倍,注射了两种疫苗的人是只注射了针对M病疫苗的人的两倍的人的两倍。注射了两种疫苗的人共有5000人,问只注射了R病疫苗的人有多少?
答案:1000

93.m有3个质因子,n有5个质因子, m和n的最大公约数是15,求mn共有多少个不同的质因子。
答案:6

94.一个公司卖车,第一年卡车的销售收入占总收入的50%,第二年卡车的收入增长了30%,其余的收入和上一年持平,问第二年卡车收入占多大比重。
答案:0.65/1.15

95.一个书架上两种书,英语书和西班牙语书,比例是1:3,问随机抽出两本,两本书都是英语书的概率是多少。
两个条件记不太清楚了。
答案:

96.一个唱片店开展了一个打折的活动,对preferred customers实行优惠,优惠措施是第一张唱片的售价是15.85块,余下的唱片每张3.99元,一位preferred customers一共买了6张唱片,问一共花了多少钱。
答案:15.85+3.99*5

97. NN
KK
NND
以上加法算式中,N、K、D都是整数,求N(或D)的值
答案: N=1,D=0,K=9

98.本题目所有具体数据不对,条件里的A/F在/不在的描述也不是原文,但是领会题型,琢磨思路吧:
A
B
C
D
E
F
1/5
2/3
1/10
3/4
1/30
1/6
上面表格代表一个城市的市民参加ABCDEF不同的党派(party)的比例,其中两个党派又会形成一个新的联合体(coalition),而这个联合体的人数比例不超过总人数的1/2,那么问C是不是在这个联合体中?
1)A 在这个里面;
2)F不再这个里面。
答案:

99.图贴不出来了,但很简单,一个长方形,由上边上一点做和底边两个顶点的连线,形成的三角形顶角直角,两个侧边长为4和3,求长方形的周长?
答案:

100. 一个正整数,被13除,尚是Q,余数是2;被17除,余数也是2,问Q被17除的余数是几?
答案:0

101. X公司和Y公司的男女员工中,已知X女:Y女=1/2;问各自的男女比例是否相等?
1) X男是Y女的3倍;
2) Y公司男女比例为2:1。
答案:C

102.已知(a^2)^3=一个给定常数(?忘了数字),求(a^2)×(a^3)=?
答案:

103.ABCDE五家公司的利润排名情况:已知:
A的利润是五家最大的;
B的利润比A少5000元;
C的利润是AB两家总和一半;
D的利润比C的利润多1000元;
E的利润是CD的总和的一半。
问五家利润从大到小排名?
答案:A>D>E>C>B

104.a 、b两数,a/b是否<9/11 ?
1) a/b=0.818
2) b/a>1.223
答案:D

105.同半径的圆,已知两圆的面积比,并且其中一圆的直径给定,求另一个圆的直径,具体数字俺老了,记不住唉。
答案:

106.I2X-3I>0吗?
1) X不等于3/2;
2) 类似于X>0之类的不相关的条件。
答案:A

107.10张不同的邮票,张三已经有了其中的三张,问从10张里面任意取两张,其中neither of the two is 张三已有的品种的概率?
答案: C(2,7)/C(2,10)=7/15

108.The surface of a certain planet reflects 80 percent of the light that strikes it. The clouds around the planet then absorb 40 percent of the reflected light. What percent of the light that strikes the planet is reflected from the surface and passes through the clouds without being absorbed?
A 32% B 40% C 48% D 60% E 88%
答案:C

109. 重力计算. something like this: given: x = k /r^2 and if r = 400, x = 200; ask what is x if r is 500...
答案:

110. Terminating decimal. which one is terminating decimal? 1/12, 1/10^2, 1/2^10
答案:

111. Triangle length. Give the lenght of one side and the degrees of two triangles, what is the length of the third side?
答案:

112.12!/2^m 能除尽,问m最大是多少
答案:

113.直角三角形RST, 直角边RS+RT=12,斜边 ST=10,问此三角形面积
答案:

114.A heard B's play during an orchestra's stop in Chicago, and pursuaded B into doing sth
答案:

115. ABCD的对角线垂直,分别是6和8,求面积。
答案:24

116.一个老师教2个班级,一次考试的平均分是82。问那个班人数多?
(1)A班平均分80
(2)B班平均分86
答案:

117.有个人的银行帐户有$20,000按照每季度的复利进行计算。除了利息外没有别的资金变动,问第一个月结束时的利息是多少?DS题
(1)第二个月的利息比第一个月利息多1%
(2)第二个月利息比第一个月利息多$2
答案:

118.有个A冬冬1.5inch 可以做另外一个B冬冬,告诉我们A冬冬是由4inch的C冬冬裁出来的,但是小于1inch的C冬冬没有啥用。现在要做10个B冬冬,问需要多少个C冬冬。
答案:

119.有一种数n,他所有因子(包括1和他自身)的和是2n,现在有这样一个数:24,问:他的所有因子的倒数和是多少?
答案:2

120.有些学生,学p和学t两种课。学生共有240,两门都学的有60人。问这两门课都不学的学生多于140人吗?DS
(1)学P的人比学t的人多。
(2)学p的人有101人。
答案:

121.有ABCDE五个数字(销量还是什么的),排大小。B比A多40,C是AB平均数……(忘了)反正很简单,可以用局部序列排除法。
答案:

122.(6^14-6^13)*(5^14-5^13)求解
答案:

123.DS:问(-1/5)^(2x)是否大于1
(1)(x+2)(x-3)=0
(2) 大概是x<1(记不清了)
答案:

124.从5个冬冬里面依次取2冬冬。(红、黄、蓝、绿、黑),问至少有一个是红或绿的可能性。
答案:

125.有个游泳池每次收费$10,可以办年卡($100),办了卡后,每次收费$5。现在知道,mary每7天去游一次,Tom每14天游一次,另外一bb28天游一次,问对于谁来说,办年卡是划算的。
A Mary only B M and T only C M T and BB D ……
答案:B

126.有个小店老板进货,有两家供货,一种X是32个/box的包装,另一个Y是40/box包装的。老板希望两种进货数量相同,问他要进X多少box?
答案:5

[此贴子已经被作者于2004-7-16 15:33:16编辑过]

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谢谢,都是7月的吗?

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3.(去年7月JJ-119) 一个盒子里有12个球:1个红球,5个蓝球,4个绿球,2个黄球,问不放回的取,前5个都是蓝色的概率是多少?? 答案:1/12*1/11*1/10*1/9*1/8

Why not 5/12* 4/11*3/10*2/9*1/8 ?

Please confirm

TOP

thanks!

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以下是引用val在2004-7-19 8:05:00的发言:

3.(去年7月JJ-119) 一个盒子里有12个球:1个红球,5个蓝球,4个绿球,2个黄球,问不放回的取,前5个都是蓝色的概率是多少?? 答案:1/12*1/11*1/10*1/9*1/8

Why not 5/12* 4/11*3/10*2/9*1/8 ?

Please confirm

这个问题还是请smart来解答吧。我的数学水平有限,:)

Your future. Our mission.
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以下是引用val在2004-7-19 8:05:00的发言:

3.(去年7月JJ-119) 一个盒子里有12个球:1个红球,5个蓝球,4个绿球,2个黄球,问不放回的取,前5个都是蓝色的概率是多少?? 答案:1/12*1/11*1/10*1/9*1/8

Why not 5/12* 4/11*3/10*2/9*1/8 ?

Please confirm

你的答案是对的。5/12* 4/11*3/10*2/9*1/8=1/(11*9*8) 这题因为是不放回的取,可以理解成一次从12个球里取5个球,取法有C5,12 五个都是蓝球有C5,5种取法。 前5个都是蓝色的概率是C5,5/C5,12=1/(11*9*8)

smart@topway.org

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谢谢smart

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thanks a lot (:!!!!!!!

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