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# Is ABC divisible by 24? 1. A B C are consecutive integers 2.

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CEO
Joined: 21 Jan 2007
Posts: 2760
Location: New York City
Followers: 9

Kudos [?]: 387 [0], given: 4

Is ABC divisible by 24? 1. A B C are consecutive integers 2. [#permalink]  29 Oct 2007, 11:31
Is ABC divisible by 24?

1. A B C are consecutive integers
2. AB is divisible by 12
Manager
Joined: 02 Aug 2007
Posts: 146
Followers: 1

Kudos [?]: 16 [0], given: 0

1) INSUFF
1,2 & 3 don't work, but integers 2,3,4 do work
2) INSUFF
No information on c

Both:
2,3,4 is consective and 3*4 is divisible by 12.
C. SUFFICIENT
Director
Joined: 11 Jun 2007
Posts: 932
Followers: 1

Kudos [?]: 80 [0], given: 0

Re: Divisibility [#permalink]  29 Oct 2007, 11:41
bmwhype2 wrote:
Is ABC divisible by 24?

1. A B C are consecutive integers
2. AB is divisible by 12

i think it should be E

to be divisible by 24, prime factors must contain at least 2, 2, 2, and 3

1. A, B, C
could be 2, 3, and 4: yes
or 5,6,7: no
not sufficient

2. AB divisible by 12
AB contains 2,2, and 3.. missing extra 2 and we dont know anything about C. not sufficient

putting 1 and 2 together:
we do not know if A > B or vice versa.
2,3, and 4 would work (consec and 24 div by 12): yes
3,4, and 5 would also work (consec and 60 div by 12): no
therefore, both insufficient
Current Student
Joined: 28 Dec 2004
Posts: 3387
Location: New York City
Schools: Wharton'11 HBS'12
Followers: 14

Kudos [?]: 186 [0], given: 2

we dont know if A>B>C...

if A=3 B=4 and C=5 abc isnt divisble by 24

if c=2 then it is..

GMAT Club Legend
Joined: 07 Jul 2004
Posts: 5068
Location: Singapore
Followers: 23

Kudos [?]: 194 [0], given: 0

St1:
If a=1, b=2, c=3, abc = 6 and not divisible by 24
If a = 24, b=25, c=26, abc = 15600 and divisible by 24.
Insufficient.

St2:
If AB = 12, and C = 1, then ABC = 12 and not divisible by 24
If AB = 12, and C = 2, then ABC = 24 and divisible by 24.
Insufficient.

St1 and St2:
If A = 3, B=4, C=5, then ABC = 60 and not divisible by 24
If A = 3, B=4, C = 2, then ABC = 24 and divisible by 24.
Insufficient.

Ans E
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