标题: 向中国女排学习，(2) MATH JJ[转帖] [打印本页] 作者: smart 时间: 2003-11-17 16:26 标题: 向中国女排学习，(2) MATH JJ[转帖]
向中国女排学习，(2) MATH JJ
转自CD，作者：cmtn
Math
1. 4个same big sandwiches, divided to m students (M>4), first 3 divided to m, last one divided by (m-4), cause 4 of the students want none of sandwiches. C ate a piece of all 4, ask portion of C ate. 文字较长有点读不懂，花了５分钟
几点澄清：
文字比较搞，大约６－７行，看了三遍没看懂（水平太低），最后理解为，四种sandwiches，Ｍ个students，前三个分成Ｍ份，第四个分成（Ｍ－４）份，Ｃ吃了４份，每种一份。问吃了占总数的多少。题目不难。现在想想应该(M-3)/(M(M-4)), 既 (3/m+1/(M-4))/4
A） (m-4)/(m(m-4))
B） (4m-4)/(m(m-4))
C） (m-3)/(m(m-4))
D） (m-8)/(m(m-4))
E） (4m-12)/(m(m-4))
Ans: C
2. m0?
I. ml>0
II. pt>0
III. tz>0
A) I II
B) II III
C) I II III
D) ???
E) can’t
Ans: E
3. L1, L2, ……….L10, 对应M1 to M10, L integer, where M is remainder of L divided by 2, ASK sum of M
1) sun of L = 100
2) six of L is even
ANS: B
4. 2 lines L ang K, slope L > K?
1) L pass (4,0) K pass (3,0)
2) L pass (0,-3) K pass (0,-4)
ANS: C
5. K=wxyz, where w, x, y, z prime, ask No. OF factor exclude 1 and K
A) 6
B) 8
C) 10
D) 12
E) 14
ANS: E
6. M=xyz where w, x, y, z prime, ask No. OF factor. ( my last one, like to be test)
A) 2
B) 3
C) 4
D) 6
E) 8
ANS: E
7. X1, X2 …X5, X 是3的等比数列，X5-X2=39 ASK X1?
A) 1/3
B) 1/2
C) 1
D) 2
E) 7
ANS: B
8. ASK median may be which of the following, >40 16.5%, >35中>40占33.33%
I) 34
II) 35
III) 36
A) I
B) I and II
C) II and III
D) I, II and III
E) None
ANS: B
9. Club B member >10, Club A中是club B的占30%, ASK which has more members.
1) club B has 600 members
2) Club B中是club A的占40%
ANS: B
10. old JJ, use 26 character to make 3 characters password, only mid should be one of AEIOU, the other two not same. ASK no. Of passwords
ANS: 2100
11. rectangle ABDE, C is a point on BD, F and G are two points on AE (has figure). Area of ABDE=24. Ask triangle CFG area
1) AB=4
2) FG=AE/3
ANS: B
12. 8[(2X+3Y)-Y]+2X+3Y=18X+KY (Y<>0), ask K
A) 16
B) 17
C) 18
D) 19
E) 20
ANS: D
13. A invest X on the rate of 10%, B invest Y on the rate of 6%, ask X/Y
I) at end of first month A and B have the same amount of money in their accounts.
II) A get xxx interest, B get yyy interest. (xxx, and yyy are real number, can’t remember)
ANS: D
14. Bridge long 40xx feet, car speed 20 mile/hour, ask minuts (do not need exactly) to pass bridge (1 mile=51xx feet)
A) 1
B) 2
C) 4
D) 5
E) 6
ANS B
15. xy=1 and x=3^(-4)*5^3, ask y (My first one)
A) ……
B) ……
C) ……
D) 3^(4)*5^(-3)
E) ……
ANS: D
16. right triangle OAB, O is (0,0), B (x, 0) and A (x,y), 角AOB=30度, OA长为１(* No use of this condition, may be let some stupid guy to calculate the number of x and y ???), ask y/x
ANS: 3^(1/2)/3
17. ask | x-1| ?
1) | x-1| >1
2) | x|=1/3
ANS: C
18. sphere volume = (4/3)*PI*R^(3), two lead balls R=3 and R=6, melt and recast to a big ball ask R?
ANS: 3*(9)^(1/3)
19. which of follow has root is 0, 1 and –1,
A) x^3-1
B) x(x^2-1)
C) x^3-x-1
D) ….
E) ….
ANS: B
20. in a share class, both 1st grade student 1/2, 4/5 of 1st grade students have no major, and 2nd grade students who has major is 3 times than that of 1st, ask 2nd have no major
A) 1/5
B) 3/10
C) 2/5
D) ???
E) ???
ANS: B
21. New employee work 40 hours per week salary 24,000 per year( number like that), old employee works 60 hours with salary 40,000 per year. ASK ??? (forgot)
1) ????
2) a number of something is 56,700 (maybe, can’t remember, need complementary)
ANS: E
22. a guy’s week salary = BASE + commission where commission=(sale-3,200)*30%, ask salary
1) BASE=1600
2) Commission= 3 times of BASE
ANS: C
23. which of following is greater than –5/4
A) –2
B) –3
C) –9/8
D) –4/3
E) –3/2
ANS: C
24 a farmer plant cotton and bean xxx (a real number) acres, 灌溉Cotton $40 per acre and bean $20 per acre. Ask number of acres plant cotton.
1) money cost for cotton is 20% greater than the cost of bean
2) total spend XXX (a real number) dollars
ANS: D
25. ask (XY)^(1/2) integer??
1) (X)^(1/2) is NOT a integer
2) (Y)^(1/2) is NOT a integer
ANS: E
还有一些白痴题，不提也罢。
几点澄清：
1. 文字比较搞，大约６－７行，看了三遍没看懂（水平太低），最后理解为，四种sandwiches，Ｍ个students，前三个分成Ｍ份，第四个分成（Ｍ－４）份，Ｃ吃了４份，每种一份。问吃了占总数的多少。题目不难。现在想想应该(M-3)/M(M-4), 既 (3/m+1/(M-4))/4
3. L integer
7. 记错了，Ｘ应是３的等比数列。
多谢指正。
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