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

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

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29 Oct 2007, 12:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Is ABC divisible by 24?

1. A B C are consecutive integers
2. AB is divisible by 12
Manager
Joined: 02 Aug 2007
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29 Oct 2007, 12:40
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
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29 Oct 2007, 12:41
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
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29 Oct 2007, 15:58
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..

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29 Oct 2007, 18:35
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
29 Oct 2007, 18:35
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