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Set consists of n consecutive Integers

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Set consists of n consecutive Integers [#permalink] New post 26 Nov 2011, 01:59
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

31% (01:43) correct 69% (01:13) wrong based on 32 sessions
Set n consists of n consecutive integers, n>1. N-?
1) The sum of the integers is divisible by 7
2) The sum of the integers is 14
[Reveal] Spoiler: OA
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Re: Set consists of n consecutive Integers [#permalink] New post 26 Nov 2011, 03:40
1.
3 + 4 = 7 (divisible by 7)
2 + 3 + 4 + 5 = 14 (also divisible by 7)
INSUFFICIENT

2.
2 + 3 + 4 + 5 = 14
-1 + 0 + 1 + 2 + 3 + 4 + 5
INSUFFICIENT

1. & 2. no extra information

Must be E. Is my logic correct?
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Re: Set consists of n consecutive Integers [#permalink] New post 14 Dec 2013, 11:02
Postal wrote:
Set n consists of n consecutive integers, n>1. N-?
1) The sum of the integers is divisible by 7
2) The sum of the integers is 14



If the sum had mentioned n consecutive positive integers would the answer have been B ?
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Re: Set consists of n consecutive Integers [#permalink] New post 15 Dec 2013, 21:40
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Expert's post
stne wrote:
Postal wrote:
Set n consists of n consecutive integers, n>1. N-?
1) The sum of the integers is divisible by 7
2) The sum of the integers is 14



If the sum had mentioned n consecutive positive integers would the answer have been B ?


I am assuming the question is: What is n?

Yes it would.

What happens in case of positive integers?
Note that the sum of consecutive numbers in even. It means the number of odd integers in the sequence must be 2 or 4 or 6 etc. So the number of integers in the sequence must be 4 or 8 or 12 etc. The only possibility is that the numbers must be 2, 3, 4, 5. No other 4 consecutive integers can give the same sum since the numbers will be either larger or smaller than these. Also, 8 or 12 consecutive integers cannot add up to give you 14.

When negative integers are also allowed, this logic fails.

2, 3, 4, 5 - sum 14
-1, 0, 1, 2, 3, 4, 5 - sum 14
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Re: Set consists of n consecutive Integers   [#permalink] 15 Dec 2013, 21:40
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