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# Is the integer r divisible by 3?

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Is the integer r divisible by 3? [#permalink]

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18 May 2008, 18:21
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Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25
[Reveal] Spoiler: OA

Last edited by Bunuel on 08 Apr 2015, 03:39, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.
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Re: Is the integer r divisible by 3? [#permalink]

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18 May 2008, 18:36
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jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

1) r is the product of 4 consecutive integers.

2) r < 25

A

1x2x3x4 or 4x5x6x7 or ...
every 4 consecutive integers contains at least 1 number that is divisible by 3

statement 2: r could be 3 or r could be 5
insuff
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Re: Is the integer r divisible by 3? [#permalink]

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18 May 2008, 19:05
Correct, a easy one I botched for some reason.
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Re: Is the integer r divisible by 3? [#permalink]

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18 May 2008, 21:11
A

you atleast have one integer divisible by 3 for every 3 consecutive numbers, the question says 4 consecutive numbers thus A

Stmt-2 does not provide any info thus insufficient
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Re: Is the integer r divisible by 3? [#permalink]

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07 Apr 2015, 22:46
Hello from the GMAT Club BumpBot!

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Re: Is the integer r divisible by 3? [#permalink]

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05 May 2015, 17:41
jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25

For Statement 1, why couldn't the 4 integers by 0, 1, 2, 3? In which case, r=0.
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Re: Is the integer r divisible by 3? [#permalink]

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05 May 2015, 21:26
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metskj127 wrote:
jimmyjamesdonkey wrote:
Is the integer r divisible by 3?

(1) r is the product of 4 consecutive integers.
(2) r < 25

For Statement 1, why couldn't the 4 integers by 0, 1, 2, 3? In which case, r=0.

Hi metskj127,

You are right about the possibility of 4 integers being 0,1,2,3, in which case r = 0. The question statement asks us about r being divisible by 3 i.e. is the remainder 0 when r is divided by 3. If you divide 0 by 3, the remainder is 0.

Thus, even if r = 0, we can say that r is divisible by 3.

The takeaway from this can be " Zero is divisible by any integer i.e. every integer is a divisor of Zero" as zero divided by anything gives the remainder as zero.

Hope its clear!

Regards
Harsh
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Re: Is the integer r divisible by 3? [#permalink]

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07 May 2015, 15:57
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Hi metskj127,

The GMAT will sometimes test you on concepts that you know, but in ways that you're not used to thinking about (as is the case here).

This specific concept can appear in other ways. When most people think of "multiples", they only think of POSITIVE multiples.

eg. Multiples of 10: 10, 20, 30, 40, etc.

But 10x0 is ALSO a multiple of 10, so the above list should INCLUDE the number 0. Don't be surprised if this exact issue shows up in one of your DS questions on Test Day...

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Re: Is the integer r divisible by 3? [#permalink]

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28 Jul 2016, 20:35
Hello from the GMAT Club BumpBot!

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Re: Is the integer r divisible by 3? [#permalink]

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26 Jan 2017, 18:46
a) r is the product of 4 consecutive positive integers.

Multiples of 3 are 3,6,9,12...
any set of 4 positive integers will have a multiple of 3.

say 1,2,3,4 has 3
8,9,10,11 has 9(a multiple of 3)

Hence a) alone is sufficient

b) r < 25
It doesn't matter if r is less than 25 or not.

Hence A is the correct choice
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Re: Is the integer r divisible by 3?   [#permalink] 26 Jan 2017, 18:46
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