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# If b is the product of three consecutive positive integers

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Director
Joined: 03 Jul 2003
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If b is the product of three consecutive positive integers [#permalink]

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10 Dec 2003, 18:04
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If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24 ?

(1) b is a multiple of 3,
(2) c is odd.
Director
Joined: 28 Oct 2003
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10 Dec 2003, 18:18
E

first condition
1,2,3=6, not a multiple of 24
24,25,26=multiple of 24

second condition
1,2,3=6, not a multiple of 24
23,24,25=multiple of 24
Manager
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10 Dec 2003, 18:19
E
1. say B is 6; c=1; so 1 * 2 * 3 = 6
it is a multiple of 3 but not of 24

say B is 24; c=2; 2 * 3 * 4 = 24
it is a multiple of 3 and of 24

so 1 is not sufficient

2. c = 1; B = 6 is not a multiple of 24
c=3; B = 60; not a ...
....

together:still no
Manager
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10 Dec 2003, 18:20
Damn stoolfi you beat me here too ...

look at the time difference in postings!!
Director
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10 Dec 2003, 18:42
You wisely chose your numbers as well, young Pitts.

Now quit stalking me!!!
Director
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Kudos [?]: 92 [0], given: 0

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16 Dec 2003, 14:51
The official answer is A, and it has been proved wrong by you all !
16 Dec 2003, 14:51
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# If b is the product of three consecutive positive integers

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