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

Question

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

Harley1980 · Answer

1) We see that 2R is divisible by 3. Because 2 not divisible by 3 we can say that R divisible of 3
sufficient

2) We see that 3R is divisible by 3. And we know that 3 is divisible by 3 but don't know about R it can be or not divisible by 3
insufficient

So answer is A

robertsonsd · Answer

Let's revisit the rules of divisibility. For an integer x*y to be divisible by 3, either x  OR  y must be divisible by 3 (or both).

I) 2 is not divisible by 3, so for 2R to be divisible by 3, R  must  be divisible by 3. SUFFICIENT
II) 3  is  divisible by 3, so R  may or not  be divisible by 3. Think about it, R can be any integer and 3R is still divisible by 3. INSUFFICIENT.

Therefore, the answer is A.

AmoyV · Answer

1. 2 is not divisible by 3, so if 2R is divisible by 3, it means that R is divisible by 3--->Sufficient

2. 3 is divisible by 3. So R may or maynot be divisible by 3. Unsure--->Insufficient

Answer: A

EMPOWERgmatRichC · Answer

Hi hsbinfy,

When dealing with DS questions, you have to make sure that you are answering the question that is ASKED.

Here, we're asked if R is evenly divisible by 3. This is a YES/NO question.

When dealing with Fact 1, you correctly determined that R could be 3 or 6 (among other values), but you considered that to be insufficient.

IF R = 3, then the answer to the question is YES
IF R = 6, then the answer to the question is still YES
This evidence proves that Fact 1 is SUFFICIENT. Any additional values that you would come up with would ALSO be multiples of 3, so those answers would ALSO be YES.

The Final Answer is  A .

Losing sight of the details on DS questions can cost you dearly on Test Day. Here, your examples were perfect, but your note-taking was 'off' and it cost you the question. To maximize your score, a bit more note-taking and attention-to-detail is required.

GMAT assassins aren't born, they're made,
Rich

lipsi18 · Answer

Is R is evenly divisible by 3?

1. 2R is divisible by 3; it can only happen when R is divisible by 3. sufficient
2. 3R is divisible by 3; R ma or may not be divisible by 3, as 3 is divisible by 3. Insufficient

Hence answer is A

KS15 · Answer

Answer=A
1. 2R is evenly divisible by 3. R has to be a multiple of 3.
2. 3R is evenly divisible by 3. R may/may not be a mutilple of 3. Not sufficient.

1991sehwag · Answer

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

IMO answer is A

Evenly divisible means ---> The quotient after division done should leave NO REMAINDER ---> Simply means perfectly divisible
1) 2R is evenly divisible by 3--> Here 3 cannot divide 2 , definitely R must be divisible and as such EVENLY divisible as quoted
so A sufficient

2) 3 R is evenly divisible----> Here 3 can be divided by 3 and We cannot quote about R without ambiguity if it can divide 3 or not
B is NOT SUFFICIENT

SO , Answer---> A

Consider KUDOS

SherLocked2018 · Answer

Bunuel 
looks like a simple question, but i'm a bit confused in the Question "is R evenly divisible by 3?" 
Does it mean simply that R is divisible by 3? or Does it mean that R is evenly divisible, ie R/3 = some Even integer. 
so when R = 3, R is divisible by 3, but R is not evenly divisible by 3.

EMPOWERgmatRichC · Answer

Hi SherLocked2018,

The phrase "evenly divisible" means "divides and forms an integer"

If the prompt wants you do know that something is an "even integer", then the prompt will use that phrase (or equivalent).

GMAT assassins aren't born, they're made,
Rich

stonecold · Answer

As 2 is not divisible by 3 so statement 1 is true 
but statement 2 is not as R can be any integer
so A

OptimusPrepJanielle · Answer

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

Nunuboy1994 · Answer

Simple question

St 1

If 2R/3 = some even integer K then R must be a positive multiple of 3- sufficient

St 2

3R/3= some even integer K - R must be even but it doesn't necessarily have to be a multiple of 3(8)/3 for example

A

Prathit · Answer

I have a query for all the explanations that are given and with the answer as well.

If we decide that answer is A, we accept that A is 'evenly divisible' means that integer should be divisible with an even integer, with remainder 0.

But then why we are avoiding the word 'evenly' in question as well.

If we take A, that means that '3' can be the value of R. Which is not evenly divisible by 3, as it is divisible by 1.

This means that statement A is not sufficient.

I think answer should be 'C', as when we combine both statement, that 2R and 3R both evenly divisible by 3, we are left with only one value of R i.e. 6, which is evenly divisible by 3.

Someone kindly explain to me why I should avoid the word 'evenly' in the question or not mean it divisible by an integer which is even.

Bunuel · Answer

Evenly divisible = simply divisible, it does not mean that the result of division should be even.

sahilvijay · Answer

1) 2R is divisible by 3 
 2R can be 0,6,12,18 .... and so on positive and negative
 R can be 0,3,6,9....... so on, both positive and negative
 clearly R is divisible by 3. so A,D can be answer.
2) 3R is divisible by 3
 3R can be 0,3,6,9,12,15.....and so on both positive and negative
 R can be 0,1,2,3,4,5.......and so on both positive and negative
 1 is not divisible by 3 , whereas 3 is divisible by 3. INSUFFICIENT
 D is Ruled out and  Answer is A

bumpbot · Answer

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

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