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# M13 Q30 -> wrong solution given

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Intern
Joined: 15 Nov 2009
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M13 Q30 -> wrong solution given [#permalink]

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08 Feb 2010, 08:55
Question :

Is $$a*b*c$$ divisible by 24 ?

1. $$a$$ , $$b$$ , and $$c$$ are consecutive even integers
2. $$a*b$$ is divisible by 12

Solution:

Statement (1) by itself is sufficient. One of any three consecutive even integers is divisible by 3. Because this integer is even, it is also divisible by 6. When multiplied by two more even integers, it renders a product that is divisible by 24.

Statement (2) by itself is insufficient. We need to know something about $$c$$ .

As per me, 0 is an even number.
So, as per S1, if a, b and c are consecutive integers, it can be even 0,2,4. Then in that case, number won't be divisible by 24.

Hence, the answer should be 'c'.

VP
Joined: 05 Mar 2008
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Re: M13 Q30 -> wrong solution given [#permalink]

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08 Feb 2010, 09:25
1
KUDOS
bhanupra wrote:
Question :

Is $$a*b*c$$ divisible by 24 ?

1. $$a$$ , $$b$$ , and $$c$$ are consecutive even integers
2. $$a*b$$ is divisible by 12

Solution:

Statement (1) by itself is sufficient. One of any three consecutive even integers is divisible by 3. Because this integer is even, it is also divisible by 6. When multiplied by two more even integers, it renders a product that is divisible by 24.

Statement (2) by itself is insufficient. We need to know something about $$c$$ .

As per me, 0 is an even number.
So, as per S1, if a, b and c are consecutive integers, it can be even 0,2,4. Then in that case, number won't be divisible by 24.

Hence, the answer should be 'c'.

0*2*4 = 0
0/24 = 0
Answer results in an integer which means 0 is divisible by 24
Manager
Joined: 22 Aug 2009
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Location: UK
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Re: M13 Q30 -> wrong solution given [#permalink]

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08 Feb 2010, 11:00
true

A is correct..I too made the same mistake.
Manhattan Number properties book has a question similar to this.
_________________

FEB 15 2010 !!

well I would not disturb you after the D-day ..so please !!!

It Will Snow In Green , One Day !!!!

Intern
Joined: 15 Nov 2009
Posts: 12
Followers: 0

Kudos [?]: 0 [0], given: 9

Re: M13 Q30 -> wrong solution given [#permalink]

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09 Feb 2010, 21:38
Thanks so much ..!!
Intern
Joined: 11 Sep 2009
Posts: 18
Location: Tampa ,FL
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Re: M13 Q30 -> wrong solution given [#permalink]

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11 Feb 2010, 10:08
10,12,14
a,b,c

a*b
10*12=120; 120/12=10

a*b*c=120*14=1680 ; 1680/24=70.

hence A
Manager
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Re: M13 Q30 -> wrong solution given [#permalink]

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12 Feb 2010, 19:57
0 is divisible by all numbers!
Re: M13 Q30 -> wrong solution given   [#permalink] 12 Feb 2010, 19:57
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# M13 Q30 -> wrong solution given

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