请教10个数学题，望指教，先谢谢了

lujiamu

请教高人10个数学题，望指教：
1.      If an integer n is to be chosenat random from the integers 1 to 96, inclusive, what is the probability thatn(n+1)(n+2) will be divisible by 8? 请指教解题过程、答案以及考点，先谢谢谢谢了。
2.      99999^2-1^2=？
A 10^10-2 b (10^5-2)^2 c 10^4(10^5-2) d 10^5(10^4-2) e10^5(10^4-2)
3.      Which of the following is equalto (2^k)5^k-1)?
A 2(10^k-1) b5(10^k-1) c 10^k d 2(10^k) e 10^2k-1
4.      If “根号下”x=25,then x^3-x^2=?
5.      What is the value of (x-y)^4
1.      The product of x and y is 7.
2.      X and y are integers.
6.      In the decimal representationof x, where 0<x<1, is the tenth digit nonzero?
1.      16x is an integer.
2.      8x is an integer.
7.      What is the remainder when thepositive integer x is divided by 8?
1.      When x is divided by 12, theremainder is 5.
2.      When x is divided by 18, theremainder is 11.
8.      If x,y and k are positivenumber such that (x/x+y)(10)+(y/x+y)(20)=k and if x<y, which of thefollowing could be the value of k?
10,12,15,18,30
9.      A shipment of 8 television setscontains 2 black-and-white sets and 6 color sets, if 2 television sets are tobe chosen at random from this shipment, what is the probability that at least 1of the 2 sets chosen will be a black and white set? 概率，烦请列出公式。
10.  In a certain game player withred card and blue card, each red card has a point value of x and each blue hasa point value of y, wherex>y and x and y are positive integers. If a playerhas 5 red card and 3 blue cards, what is the average point value of the 8 cardsthat the player has?
1.      The average point value of onered and one blue card is 5.
2.      The average point value of the8 cards that the players has is an integer.

lujiamu

请教高人10个数学题，望指教：
1.    If an integer n is to be chosen at random from the integers 1 to 96, inclusive, what is the probability that n(n+1)(n+2) will be divisible by 8? 请指教解题过程、答案以及考点，先谢谢谢谢了。

2.    99999^2-1^2=？
A 10^10-2 b (10^5-2)^2 c 10^4(10^5-2) d 10^5(10^4-2) e 10^5(10^4-2)

3.    Which of the following is equal to (2^k)5^k-1)?
A 2(10^k-1) b 5(10^k-1) c 10^k d 2(10^k) e 10^2k-1

4.    If “根号下”x=25, then x^3-x^2=?

5.    What is the value of (x-y)^4
1.    The product of x and y is 7.
2.    X and y are integers.

6.    In the decimal representation of x, where 0<x<1, is the tenth digit nonzero?
1.    16x is an integer.
2.    8x is an integer.

7.    What is the remainder when the positive integer x is divided by 8?
1.    When x is divided by 12, the remainder is 5.
2.    When x is divided by 18, the remainder is 11.

8.    If x,y and k are positive number such that (x/x+y)(10)+(y/x+y)(20)=k and if x<y, which of the following could be the value of k?
10,12,15,18,30

9.    A shipment of 8 television sets contains 2 black-and-white sets and 6 color sets, if 2 television sets are to be chosen at random from this shipment, what is the probability that at least 1 of the 2 sets chosen will be a black and white set? 概率，烦请列出公式。

10.    In a certain game player with red card and blue card, each red card has a point value of x and each blue has a point value of y, wherex>y and x and y are positive integers. If a player has 5 red card and 3 blue cards, what is the average point value of the 8 cards that the player has?
1.    The average point value of one red and one blue card is 5.
2.    The average point value of the 8 cards that the players has is an integer.