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# If an integer n is to be chosen at random from the integers

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Manager
Joined: 03 Oct 2008
Posts: 62
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If an integer n is to be chosen at random from the integers [#permalink]  07 Oct 2008, 06:34
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?

A.1/4

B.3/8

C. 1/2

D. 5/8

E. 3/4
Senior Manager
Joined: 04 Aug 2008
Posts: 379
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Re: integer--math problem [#permalink]  07 Oct 2008, 06:49
albany09 wrote:
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?

A.1/4

B.3/8

C. 1/2

D. 5/8

E. 3/4

8 16 24 32 40 48 56 64 72 80 88 96
+
1*2*3
2*3*4 ok
3*4*5
4*5*6 ok
5*6*7
6*7*8 ok
7*8*9 ok

12*5=60/96=5/8

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Re: integer--math problem   [#permalink] 07 Oct 2008, 06:49
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