40. How many arrangements of A, B, C, D, and E are there, such that B and D are not adjacent? Each letter is used exactly once. 41. The blue region shown above is a rectangular rug with area of 110 square feet. The length is 1 foot greater than the width. If the rug covers a rectangular floor and distance between edges of floor and rug is 1 foot, what is the area of the uncovered floor? 0/1----------------------------------------1/1 0/1----------------1/2---------------------1/1 0/1-------1/3------1/2---------2/3--------1/1 0/1 1/4 1/3 2/5 1/2 3/5 2/3 3/4 1/1 42. As the figures shows, after the first line, the number of fractions in each of the following lines increased. The denominator of the added number is the sum of the denominators of the up-right and up-left fractions, and so does the numerator, for example, 1/4=0+1/1+3. Which line will contain 6/11 and 5/9? 43. Peter invested $10,000 in a certain account. If he earned interest of $180, $190, and $200 in the first, second, and third quarter, respectively, what amount of interest should he earn in the fourth quarter so that the annual interest rate for the year will be 8%? 44. There are four points in line L and five points in line P, where L is parallel to P. By linking the 9 points, how many triangles can be formed? 45. Symbol © denotes that when integer K is even, ©K=K-1, when integer K is odd, ©K=K+1. If a and b are integers, is ©a*©b even? 1). a is odd 2). b is odd 46. If x and y are integers, |x|*|y|=? 1). xy=10 2). x*|y|=-10 47. Symbol [d] denotes the least integer greater than or equal to d, is [2d]=0? 1). [d]=0 2). [3d]=0 48. What is the remainder when x^4-y^4 is divided by 3? 1). x-y is divisible by 3. 2). When x+y is divided by 3, the remainder is 2 49. Beside one more prime factor, integer x and 770 has same prime factors. What is the least value of x/770? 50. The sum of the integers from 1 to n is n(n+1)/2. What is the sum of the even numbers between 99 and 301? Choices include (301*302/2-99*100/2)/2 E/P>
51. In the figure shown above, if line y=c divided the triangle equally, c=? 52. What is the remainder when 7^468 is divided by 10? 53. A 4-letter code consists of letters a, b, c. To form a code, letter a was used twice and b, c used one times. How many such codes are possible? 54. For integer n, f(n) denotes the remainder when n is divided by integer k. Is k greater than 10? 1). f(k+32)=8 2). f(k+42)=6 注意:大部分题和国内JJ相同
[此贴子已经被作者于2006-10-10 16:02:03编辑过] |