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The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi

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The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 05 Jul 2016, 12:31
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A
B
C
D
E

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  5% (low)

Question Stats:

78% (00:24) correct 22% (00:29) wrong based on 112 sessions

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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 05 Jul 2016, 12:35
Bunuel wrote:
The sum of 3 consecutive numbers is definitely:

A. Positive.
B. Divisible by 2.
C. Divisible by 3.
D. Divisible by 4.
E. Divisible by 5.


It a rule one has to memorize or you can spend time on the GMAT testing.
Ans C.

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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 05 Jul 2016, 20:02
Bunuel wrote:
The sum of 3 consecutive numbers is definitely:

A. Positive.
B. Divisible by 2.
C. Divisible by 3.
D. Divisible by 4.
E. Divisible by 5.


A. Not true always. If the numbers are -2,-1,0, because it doesn't say positive or negative, then the sum can not be positive always.
B. Not True Always. If the numbers are -2,-1,0 then this isn't divide by 2
C. True Always. No matter any numbers, let's say a, a+1, a+2 (irrespective of what a is) sum is 3a+3 which has to be divisible by 3
D. Not True always. Same as 2
E. Not True Always. Same as 2
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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 05 Jul 2016, 20:28
If 1st term is x:
x+(x+1)+(x+2)=3x+3--->Always divisible by 3

If 2nd term is x:
(x-1)+x+(x+1)=3x--->Always divisible by 3

If 3rd term is x:
(x-2)+(x-1)+x=3x-3--->Always divisible by 3

Answer: C
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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 22 May 2017, 19:15
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The sum of any three consecutive integer is divisible by 3 while their products is divisible by 6.
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The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 24 May 2017, 11:31
Bunuel wrote:
The sum of 3 consecutive numbers is definitely:

A. Positive.
B. Divisible by 2.
C. Divisible by 3.
D. Divisible by 4.i
E. Divisible by 5.

Bunuel or anyone, suppose the consecutive NUMBERS are 1/4, 1/2, and 3/4?

Doesn't that qualify as an arithmetic sequence with common difference of 1/4?

If so, 1/4 + 2/4 + 3/4 = 6/4 or 3/2. 3/2 divided by 3 is 1/2.

The only answer that makes sense from the question is indeed C, but I had to decide that "number" meant "integer."

I see the word "number" and think, "It might be a trap."

As far as I understand it, the rule (sum of three consecutive integers always divisible by 3) only applies to integers.

What am I missing?
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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 24 May 2017, 12:51
1
genxer123 wrote:
Bunuel wrote:
The sum of 3 consecutive numbers is definitely:

A. Positive.
B. Divisible by 2.
C. Divisible by 3.
D. Divisible by 4.i
E. Divisible by 5.

Bunuel or anyone, suppose the consecutive NUMBERS are 1/4, 1/2, and 3/4?

Doesn't that qualify as an arithmetic sequence with common difference of 1/4?

If so, 1/4 + 2/4 + 3/4 = 6/4 or 3/2. 3/2 divided by 3 is 1/2.

The only answer that makes sense from the question is indeed C, but I had to decide that "number" meant "integer."

I see the word "number" and think, "It might be a trap."

As far as I understand it, the rule (sum of three consecutive integers always divisible by 3) only applies to integers.

What am I missing?


Consecutive numbers = consecutive integers. Agree it should be written more clearly in the question.
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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi [#permalink]

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New post 13 Jun 2018, 16:33
Bunuel wrote:
The sum of 3 consecutive numbers is definitely:

A. Positive.
B. Divisible by 2.
C. Divisible by 3.
D. Divisible by 4.
E. Divisible by 5.


Lets sum a few consecutive numbers:

1 + 2 + 3 = 6

10 + 11 + 12 = 33

We see that the sum of 3 consecutive integers will always be divisible by 3.

Answer: C
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Re: The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi   [#permalink] 13 Jun 2018, 16:33
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The sum of 3 consecutive numbers is definitely: A. Positive. B. Divisi

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