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

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Manager
Joined: 23 Sep 2016
Posts: 94
Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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Updated on: 10 Oct 2016, 12:42
2
00:00

Difficulty:

85% (hard)

Question Stats:

43% (01:36) correct 57% (01:38) wrong based on 121 sessions

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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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Joined: 05 Mar 2015
Posts: 1001
Re: Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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10 Oct 2016, 19:19
1
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.

Ans D
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Joined: 09 Sep 2013
Posts: 9871
Re: Which of the following CANNOT be true if the sum of k consecutive inte  [#permalink]

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