9月11-20日数学机井总结(2)
31、 求X+5=?
(1)︱X-5︱=10
(2)︱X︱-5=10
答案:C
32、m positive integer, 问 r is the remainder of 3m/5, r 可能是:
(1) 0
(2) 1
(3) 3
答案:(1)(2)(3)都可以
33、(费费宝典中的题,这个月也出过) 一个车行每次买入车是5辆,每次卖其旧车给折旧店是3辆,每买入和每卖出都算一次交易,该本行去年共增加14辆车,问最少交易次数。
答案:6
34、测量一个东东的重量,mean是47.8 ounce, 其一个标准差是0.5once, 问下面哪一个重量是在3个标准差之内。
答案:题目不完整
35、一个厂家有7500个东东,每个cost 是20$, 卖出时其中 2/3卖价是double cost, 另 1/3是25 percent higher than cost, 求profit.
答案:20*5000+2500*5
36、一个平行四边形,每条边均相等,边长为6, 面积为18,求其中一个角
答案:30
37、一个平行四边形,其中两个角,每个均为60度,求另外两个角中每一个是多少度
答案:120
38、2^x>75?
(1) 3^x>50
(2) (2^x)(3^x)> 1500
答案:E
39、x+y=3, 3x+4y/4x+3y=1, 求x-2y=?
答案:-1.5
40、x-3, x-2, 1.5, x, x+1.5,x>0, 其mean 是x, 求x.
答案:-2
41、某病用某种方法检测,有该病检查结果呈现positive (阳性),无该病检查结果呈现阴性(negative),问检查结果的准确性。
(1)有该病的人中1/8的检查出来呈阳性
(2)90%的人检查呈阴性
答案:E
42、某人行车,每秒速度为r, 如果速度为r+20的话,则省是4分钟,问r ?
答案:题目不完整,没有路程
43.三个三角形放在一起,有公共边,比较几个角的大小。共同边长为5,6,另外一边分别为7,8,9,求最大角是哪一个。
答案:没有图,如果是比较所有三角形内角的大小则很明显是三边为5,6,9的那个中的边9对着的那个角
44. two kinds of machines x and y , x costs p dollars for each set , y q dollars . what is the total amount spent on 5 sets of x and 4 sets of y?
1) 4 sets of x and 3 sets of y cost 2180 dollars .
2) 10 sets of x and 3 sets of y cost 3250 dollars.
答案:C
45. 5^k is a factor of the product of odd integers from 99 -199 , what is the greatest possible value of k ?
答案:13
46. a bouquet consists of red and white carnations , randomly select two flowers , what is possibility of having one of each ?
1) the number of red carnations is equal to that of the white carnations
2) there are 6 red carnations in the bouquet.
答案:C
47. when positive integer a is divided by another positive integer b , the quotient is 5 and remainder is 3 , which of the following could be the value of a ?
1 ) 13 2) 38 3) 57
答案:13,38
48. line k and l intersect at point ( 16/5, 12/5 ) , what is the slope of line l
1) one of the angles formed at the intersection is 90
2) line k passes through the origin
答案:C
49. is 1000 a factor of k ?
1) 2000 is a factor of 4k
2) 8 is a factor of k
答案:C
50. if lm+4l=2, what is the value of m?
1) m<0
2) m^2 +8m + 12=0
答案: 题目本来很容易,不过不理解lm+4l=2是什么意思?
51. is the total measure of interior angles in polygon p greater than 500 ?
1) the measure of one angle is 100
2) the polygon has more than 5 sides.
答案:B
52. if x@y =xy -x+y , a@b=0, what is a in terms of b ?
答案:ab-a+b=0
所以a(b-1)=-b
a=b/(1-b)
53. f(y)=ky, k is a constant , is f(-5)>0?
1) f(-2) <0
2) f(-3)f(-4)>0
答案:A
54 do jack and nancy together own a total of 10 pencils ?
1) jack owns more than twice the pencils owned by nancy
2) nancy owns less than 5 pencils .
答案:E
55. are m and k consecutive numbers ?
1) m+k=3
2) m-k =1
答案:B
56.x,y,z are three sides of a triangle , and xA y> 2^(1/2) B (1/2)*3^(1/2) D (1/4)*3^(1/2)
答案:题意不明确
57. 一个直角三角形,面积为1, 边长c
答案:b>根号2
bc=2 and b>c so b>根号2
58. 一个长方形,长10宽8,套上一个宽度相同的框,这个框的面积是144,求框的宽。
答案:3
2*(10+2X) + 2*8X =144
59. the range of the monthly salary in 1999 is 240, the range of the monthly salary in 2000 is 320, ask what is the minimal range of the monthly salary in both 1999 and 2000.
A: 80
B: 240
C 320
D: ***
E: ***
答案:320
60.从12个红球和12个兰球里选2个, 全是红的概率:
答案:C12,2/C24,2