[計量] 好多題計量請教
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. 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?
(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
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
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
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)
7. x + y = 5
Column A Column B
The greatest value 6
of xy ANS:A
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
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
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...
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
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？
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
這是今天的問題，感謝大家！
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