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Which of the following CANNOT be true if the sum of k consecutive inte

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Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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New post Updated on: 10 Oct 2016, 12:42
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Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?

I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative

A) I only
B) II only
C) III only
D) I and III
E) I, II and III

Originally posted by SW4 on 10 Oct 2016, 12:41.
Last edited by Bunuel on 10 Oct 2016, 12:42, edited 1 time in total.
RENAMED THE TOPIC.
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Re: Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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New post 10 Oct 2016, 19:19
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SW4 wrote:
Which of the following CANNOT be true if the sum of k consecutive integers is 0, where k ≥ 1 ?

I. The product of the k integers is positive
II. The smallest of the k integers is zero
III. The largest of the k integers is negative

A) I only
B) II only
C) III only
D) I and III
E) I, II and III


for the sum of k consecutive integers to be 0 we have atleast k=1 as 0
or if k=3 then 1,0,-1

1) product will be 0 everytime......Not True
2)as stated earlier if k=1 as 0 then 0 is the highest as well lowest number.....Could be True
3) largest number can only be 0 if K=1 or any +ve integer if K>1--------->largest integer be -ve Never true.

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Re: Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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New post 15 Dec 2017, 22:23
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Re: Which of the following CANNOT be true if the sum of k consecutive inte &nbs [#permalink] 15 Dec 2017, 22:23
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