Re: [計量] 好多題計量請教
※ 引述《balance9235 (退伍變米蟲)》之銘言:
: 標題: [計量] 好多題計量請教
: 時間: Fri Jan 14 17:52:30 2011
:
: 1. What is the difference between the sum of the first 2003 positive even
: integers and the sum of the first 2003 positive odd integers?
:
: (A) 0
: (B) 1
: (C) 2
: (D) 2003
: (E) 4006 ANS:(D) 我算1002
:
2-1=1
4-3=1
.
.
.
2003個加起來=2003
:
: 2. Of the families in city X in 1994, 40% owned a personal computer. The
: number of families in city X owning a computer in 1998 was 30% greater than
: it was in 1994, and the total number of families in city X was 4% greater
: in 1998 than it was in 1994. What percent of the families in city X owned
: a personal computer in 1998?
:
T1998 = T1994 x 1.04
N1994 = T1994 x 0.4
N1998 = N1994 x 1.3
求N1998 / T1998 = 0.5
: (A) 50%
: (B) 52%
: (C) 55%
: (D) 70%
: (E) 75% ANS:(A) 我算(B)
:
:
: 3. Column A Column B
:
: The number of ways
: to exchange a 100USD 17
: bill for 5, 10, 50USD ANS:A
:
5x+10y+50z=100的非負解數量
0 0 2
0 5 1
2 4 1
.
.這邊共6種
.
10 0 1
0 10 0
.
.這邊11種
.
20 0 0
共18種
:
: 4. The median of 10, 15, x, and y is 18.5, and x < y
:
: Column A Column B
:
: X 22 ANS:C 很怪,中數就是15 and X < Y
: 怎麼會等於22
:
(15+x)/2=18.5
x=22
:
: 5. The integer 33 is to be expressed as a sum of n consecutive positive
: integers.
:
: Column A Column B
:
: The number of 2 ANS:C 10.11.12 then n=3
: possible values of n 16.17 then n=2 應該是D吧
他是問n可能的值有幾個
英文問題
:
:
: 6. In the xy-plane, the point (x,y) lies on the circle with equation
: x^2+y^2 = 1
:
: Column A Column B
:
: x + y 1.01 ANS: (D)
:
更號1/2+更號1/2=1.4
1+0=1
:
: 7. x + y = 5
:
: Column A Column B
:
: The greatest value 6
: of xy ANS:A
:
sqrt(xy)>= (x+y)/2
xy <= 6.25
x=y=2.5時有max xy=6.25
:
: 8. Paul wants tp put up a 120-feet hedge around three sides of his rectangular
: garden and leave a side unfenced. If the garden has the greatest area, how
: many square feet of garden will Paul hedge around?
:
: (A) 1,200 sq ft
: (B) 1,800 sq ft
: (C) 2,400 sq ft
: (D) 3,000 sq ft
: (E) 3,600 sq ft ANS:(B) 我算1600
:
2x+y=120
x+x+0.5y+0.5y = 120
sqrt(x*x*0.5*0.5*y*y)<=30
0.5xy<=900
xy<=1800
:
: 9. x + y + z < 0 , z > x + y + 1
:
: Column A Column B
: z 1 ANS:D 找不出矛盾的答案
:
x,y,z=-1,0,0.5
x,y,z=-2,0,1.5
:
: 10. x and y are positive numbers.
:
: Column A Column B
:
: The ratio of x to y if 2
: x is 4 more than twice y ANS:A 這類型題目真的難理解...
:
x=4+2y
x/y=(4+2y)/y=4/y +2 > 2
:
: 11. If 5 cards, representes by A, B, C, D, and E, are placed in a row so that
: C is never at either end, how many different arrangements are possible?
:
: (A) 120
: (B) 96
: (C) 72
: (D) 60
: (E) 24 ANS:(C) 我算5!-4!=96 我猜是題目either後面不完整
:
5!-2*4! C不可在兩端
英文問題
:
: 12. How many possible committees can be formed from a group of seven people
: if each committee can have any number of members from 1 to 7?
:
: (A) 7
: (B) 49
: (C) 5040
: (D) 127
: (E) 98 ANS:(D) 題意不明,是每個人都可能拿1-7號的編號嗎?
:
不知道
:
: 13. Pat has one penny, one nickel, one dime, one quarter and one half-dollar
: in his pocket.
:
: Column A Column B
:
: The number of different
: sums of money Pat can 32
: make up, assuming 0 cent
: is not allowed. ANS:B
:
penny一分=0.01元
nickel=0.05
dime=0.1
quarter=0.25
half-dollar=0.5
重點是有這五種啦
組合有2^5-1每個都可以選擇要不要拿出來除了全部不拿出來
:
: 這是今天的問題,感謝大家!
:
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