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請想問各位幾道數學題

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請想問各位幾道數學題

文章kchih » 2006-04-20 21:12

請想問各位下列幾道數學題怎麼算出來的:

A certain holiday is always on the fourth Tuesday of Month X. If Month X has 30 days, on how many different dates of Month X can the holiday fall?
4, 5, 6, 7, 8
(D)

Part of a $10,000 inheritance was invested at 4% and the remainder was invested at 6%. The total simple annual interest earned on the $10,000 at the end of one year was $520. (這題題目我看不懂)
A: The amount invested at 4%
B: The amount invested at 6%
(B)

The vertices of square S have coordinates (-1, -2), (-1, 1), (2, 1), and (2, -2), respectively. What are the coordinates of the point where the diagonals of S intersect?
(B)

Sixty-eight people are sitting in 20 cars and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of the 68 people? (這題題目我看不懂)
2, 3, 4, 8, 12
(C)

If n is any prime number greater then 2, which of the following CANNOT be a prime number?
n-4, n-3, n-1, n+2, n+5
(E)

The "reflection" of a positive integer is obtained by reversing its digits. For example, 321 is the reflection of 123. The difference between a five-digit integer and its reflection must be divisible by which of the following?
2, 4, 5, 6, 9
(E)

謝謝~
kchih
新手會員
新手會員
 
文章: 3
註冊時間: 2005-02-21 09:17

Re: 請想問各位幾道數學題

文章danhung » 2006-05-12 08:38

kchih \$m[1]:A certain holiday is always on the fourth Tuesday of Month X. If Month X has 30 days, on how many different dates of Month X can the holiday fall?
4, 5, 6, 7, 8
(D)

Sun-Sat共七天

kchih \$m[1]:Part of a $10,000 inheritance was invested at 4% and the remainder was invested at 6%. The total simple annual interest earned on the $10,000 at the end of one year was $520. (這題題目我看不懂)
A: The amount invested at 4%
B: The amount invested at 6%
(B)

520/10000=5.2%>4%
so B>A

kchih \$m[1]:The vertices of square S have coordinates (-1, -2), (-1, 1), (2, 1), and (2, -2), respectively. What are the coordinates of the point where the diagonals of S intersect?
(B)

((-1+2)/2, (1+(-2))/2)=(1/2,-1/2)

kchih \$m[1]:Sixty-eight people are sitting in 20 cars and each car contains at most 4 people. What is the maximum possible number of cars that could contain exactly 1 of the 68 people? (這題題目我看不懂)
2, 3, 4, 8, 12
(C)

68可整除4,拆一台16+4剛好等於20
so 4台車

kchih \$m[1]:If n is any prime number greater then 2, which of the following CANNOT be a prime number?
n-4, n-3, n-1, n+2, n+5
(E)

>2的prime number都是odd,+5一定是2的倍數

kchih \$m[1]:The "reflection" of a positive integer is obtained by reversing its digits. For example, 321 is the reflection of 123. The difference between a five-digit integer and its reflection must be divisible by which of the following?
2, 4, 5, 6, 9
(E)

10000a+1000b+100c+10d+e-10000e-1000d-100c-10b-a
=9999a+990b-990d-9999e
=9(....)
danhung
新手會員
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文章: 12
註冊時間: 2006-05-09 14:01
來自: Taipei


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