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

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

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New post 15 Jun 2011, 11:31
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A
B
C
D
E

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  25% (medium)

Question Stats:

68% (00:29) correct 32% (00:40) wrong based on 114 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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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 15 Jun 2011, 12:58
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.

Answer - A
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 04 Aug 2011, 05:12
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 ?
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 04 Aug 2011, 05:41
The answer is (A).

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.

The answer is (A).
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 04 Aug 2011, 07:47
The answer is A.

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).

answer is A
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 25 Oct 2011, 03:34
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.
SO the answer is A.
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 19 Apr 2016, 01:20
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
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Re: If R is an integer, is R evenly divisible by 3?  [#permalink]

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New post 27 Nov 2017, 00:21
Re: If R is an integer, is R evenly divisible by 3? &nbs [#permalink] 27 Nov 2017, 00:21
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