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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, 11:31
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A
B
C
D
E

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78% (00:27) correct 22% (00:31) wrong based on 95 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, 11:35
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, 19:02
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, 19:28
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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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, 10:31
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, 11:51
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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] 24 May 2017, 11:51
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