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# If R is an integer, is R evenly divisible by 3?

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Manager
Joined: 11 Feb 2011
Posts: 114
If R is an integer, is R evenly divisible by 3?  [#permalink]

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15 Jun 2011, 10:31
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:49) correct 28% (01:20) wrong based on 115 sessions

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If R is an integer, is R evenly divisible by 3?

(1) 2R is evenly divisible by 3
(2) 3R is evenly divisible by 3

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-r-is-an-i ... 95600.html

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Senior Manager
Joined: 24 Mar 2011
Posts: 368
Location: Texas
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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15 Jun 2011, 11:58
should the question not be -

If R is an integer ,is R exactly divisible by 3?
a. 2R is exactly divisible by 3.
b. 3R is exactly divisible by 3.

st -1 mentions that 2R is exactly divisible by 3
meaning R has to be multiple of 3.
sufficient.

st-2 - 3R is exactly divisible by 3. meaning R could be 2 in which case 3R=6 is exactly divisible by 3.
and R could be 3 in which case 3R = 9 is exactly divisible by 3.
But in case 1, then R is not divisible by 3, and in 2nd case R is divisible by 3.
so not sufficient.

Manager
Joined: 02 Jun 2011
Posts: 130
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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04 Aug 2011, 04:12
If R is an integer, is R evenly divisible by 3?

(1) 2R is evenly divisible by 3
(2) 3R is evenly divisible by 3

the answer is A, cant we say D, why cant we say D?
2R is divisible by3 -ok
so is 3R ! if R is evenly divisible by 3, then it must be with 3R in 3 ?
VP
Joined: 24 Jul 2011
Posts: 1496
GMAT 1: 780 Q51 V48
GRE 1: Q800 V740
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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04 Aug 2011, 04:41

Statement (1): If 2R is divisible by 3, then R has to be divisible by 3, because multiplying R by 2 does not multiply it by a multiple of 3. Sufficient.
Statement (2): If 3R is divisible by 3, then R may or may not be divisible by 3. Example: 21 (3x7) is divisible by 3, but 7 is not. Similarly, 18 (3x6) is divisible by 3, and so is 6. Not sufficient.

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Senior Manager
Joined: 18 Sep 2009
Posts: 291
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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04 Aug 2011, 06:47

From (i) 2(r)/3 yields integer value only if r value is divisible by 3. sufficient.

Fro(ii) r couuld be any value if it is divisuble by 3 or not. for ex 3(6)/3=6,6/3=2(true).
3(1)/3=1, 1/3=not an integer (false).

Manager
Joined: 12 Jul 2011
Posts: 88
Concentration: Operations, Strategy
GMAT 1: 680 Q46 V37
WE: Engineering (Telecommunications)
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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25 Oct 2011, 02:34
Statement 1: Since 2 is not divisible by 3, R should be a divisible by 3 for 2R to be divisible. Hence sufficient.
Statement 2: This statement is not sufficient as 3 is divisible by 3 and we cannot make out from this whether R can be divided or not.
SVP
Joined: 06 Nov 2014
Posts: 1882
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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19 Apr 2016, 00:20
kashishh wrote:
Q. if R is an integer, is R evenly divisible by 3
1. 2R is evenly divisible by 3
2. 3R is evenly divisible by 3

Statement 1: 2R is evenly divisible by 3
Since 2 is not a multiple of 3, hence # should be a multiple of 3
Sufficient

Statement 2: 3R is evenly divisible by 3
Since 3 is a multiple of 3, R may or may not be a multiple of 3
Case 1: R = 2, 3R = 6. Here R is not a multiple of 3.
Case 2: R = 3, 3R = 9. Here R is a multiple of 3.
Insufficient

Correct option: A
Math Expert
Joined: 02 Sep 2009
Posts: 50670
Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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26 Nov 2017, 23:21
AnkitK wrote:
If R is an integer, is R evenly divisible by 3?

(1) 2R is evenly divisible by 3
(2) 3R is evenly divisible by 3

OPEN DISCUSSION OF THIS QUESTION IS HERE: https://gmatclub.com/forum/if-r-is-an-i ... 95600.html
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Re: If R is an integer, is R evenly divisible by 3? &nbs [#permalink] 26 Nov 2017, 23:21
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