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标题: 9.27 Toronto JJ[转自我看机警] [打印本页]

作者: smart 时间: 2003-9-30 19:20 标题: 9.27 Toronto JJ[转自我看机警]

51, 3*, 690 AWA: AI #72: Companies should not try to improve employees’ performance by giving incentives — for example, awards or gifts. These incentives encourage negative kinds of behavior instead of encouraging a genuine interest in doing the work well. AA 44: Our total sales have increased this year by 20 percent since we added a pharmacy section to our grocery store. Clearly, the customer’s main concern is the convenience afforded by one-stop shopping. The surest way to increase our profits over the next couple of years, therefore, is to add a clothing department along with an automotive supplies and repair shop. We should also plan to continue adding new departments and services, such as a restaurant and a garden shop, in subsequent years. Being the only store in the area that offers such a range of services will give us a competitive advantage over other local stores. Math: 1) three positive number, 7, 8,x, whose average mean (arithmetic mean) is greater than or equal to 21, and less than or equal to 46, what is the number of x? (7,8,21,46都记不太清楚了，不过数字不影响解题，这是我的第一题) 2) 一个三角形ACE,在AC 上有点D,在CE 上有点R, 在AE上有点F,AD=DF,FR=RE,AE=6,the perimeter of quadrilateral CDRR = 6乘以根号下2，求perimeter of triangle ACE. 参考答案： 6+6乘以根号下2 3) DC, X的平方+ Y的平方=1,X+Y=1吗？ (1) xy=0 (2) y=0 参考答案： E 4) x+y=z? (1) |x|=y-z (2) x<0 参考答案： C 5) what is the hypotenuse of the square whose side is equal to 5? 参考答案： 5乘以根号下2 6) ½,1/4,1/8 …， the tenth number x is (1) 0.01(2) 0.001(3) 0.0001参考答案： 0.00017) 给出了一群人的数目I, 作A的人是多少也给出，做B的人是多少也给出了，求the number of both A and B (1) neither A nor B= 一个给出的数字 (2) 给出了either A or B的数字参考答案： D 8) country J和country K的gross profit 均为25000，已知gross profit=revenue-expense求J国的expense？ (1).Revenue of country J is twice the Revenue of country K, Expense of country J is three times of Expense of country K (2). Country K的gross profit is ¼ as many as country J的revenue 参考答案： D 9) 由6个人选3个组成subcommittee,有几种选法？参考答案： c6,3 10）求1/(根号(n+1)－根号n)? 参考答案：根号(n+1)+根号n 11） if x –1, and x 1, what is the value of (x+1)/(x-1) –(x-1)/(x+1) 参考答案：4x/(x+1)(x-1) 12) In May 1, somebody finished his training course, x kilometres in y hours and 15 minutes, In May 15, this guy finished the same kilometres in 5 minutes less than in May 1, ask the average speed in terms of x, and y 参考答案：6x/(6y+1) 13) x>0吗？（1） x^2（2） x^3参考答案：c 14) m books, 求m (1)x books, divided into 3 stocks with x in each stock, remain 2 (3) divided into y stocks with 7 books in each stock, remain 2 参考答案：E 15) j,k,m are from 0~9 inclusive, and T=10j+1000k+100m, 求unit digit of T? (A)0,(B)1,(C)j,(D)k,(E)m 参考答案: A 思路: 16) 12！/2^M=K 问M 为多少时，K是整数。参考答案: M<或=10 思路: 17) P^r=？ (a) P=1 (b) r=1 参考答案： a 思路： 18) 2)问 x/6 是 integer? a): x是integer b) 6x shi integer 参考答案: E 19) 有个tank，从yestadat noon开始放水，每小时为300liter，问原来tank中的水是否>1000liter！ 1.yestaday下午2点， tank还有600liter 2.yestaday下午1点，tank还有大于650liter 参考答案: E 20) 3X+3Y=99, X=2Y=72, 2x+y=? 21) a和b都是整数，a被b除的余数和b被a除的余数相等，问下面哪几个数字有可能是ab的乘积！ I、12 II、24 III、36 参考答案: 36 22) 8台电视，2台黑白，6台彩色，问任取2台，至少1台黑白的posibility：参考答案: 1-C62/C82 = 13/28 22)a triangle ABC, 给出了图形，从C点作AC 的垂直线，交点是D,告诉了AD是多少，也告诉了CD是多少，求三角形ABC的周长（1）告诉了三角形ABD的面积（2）告诉了三角形BDC的面积参考答案

23) X个人，每个人都捐了相等的数目的钱，共凑了d美元，后来12个人走了，问每个人号要多出多少钱才能使得钱数保持不变？参考答案: 12d/x(x-12) 24) integer x and y, how many integers between x and y (1) y=x+7 (2) y=2 参考答案:A 25) 定义[X]是大于等于X 的最小的整数，[X]=0，求X=? (1) 0(2) 0<=X<1 (3) –1<=X<0 (4) –1<=X<=0 (5) –1参考答案: –1 26) {a,b,c}的subset is {}, {a}{b}{c},{a,b}{b,c}{a,c}{a,b,c},set {a,b,c,d,e}的subset 中，不含有element b的subset 有多少个 27) 一学校学生选science course 每人都要选一门，1/2 of them choose biology ,1/3 choose chemical , rest of them choose physics , 第二个sememster 1/3who chose biology drop off , 1/4 who chose chemistry drop off , the other students maintain the their courses, and there is no new students enroll , 问现在选biology and chemistry 学生占总人数比例参考答案: 7/9 28) old JJ, 木头夫在水面的部分是1/8 到1/7，那道题参考答案:1/7-1/6 29) 一个长方形是 3inchesX3inchesX9 inches, 把3x3那个面朝下放入3feet X 9 feet X 12 feet 的容器中，能放入多少个？12 inches = 1 foot 参考答案: 36X 12 我自己都被我自己感动了，天呀，我竟然能够记得这么多题目 verbal 部分是在是记不住了

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