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If the sum of a list of consecutive odd integers is 5, which of the fo

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Math Expert
Joined: 02 Sep 2009
Posts: 64099
If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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16 Aug 2016, 05:08
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35% (medium)

Question Stats:

67% (01:37) correct 33% (01:57) wrong based on 156 sessions

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If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

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Joined: 23 Apr 2015
Posts: 266
Location: United States
WE: Engineering (Consulting)
Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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16 Aug 2016, 06:27
1
1
Bunuel wrote:
If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

Let the numbers be x-4, x-2, x , x+2, x+ 4 and given sum of all 5 number is 5, which is 5x = 5 and meaning x is 1
So the list is -3, -1, 1, 3, 5
I) AM of the list is 1 not 5, so eliminate
II) median is 1, not 5 , so eliminate
III) range is 5 - -3=8, not 5, so eliminate

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Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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04 Apr 2018, 10:12
Bunuel wrote:
If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

I solved this question by thinking of numbers to fit in. Since the question says consecutive odd integers, if I only think of positive numbers then there is no way I can get 5 by adding them. for example 1,3,5, 7 adding any combination of these doesn't yield 5. So the numbers should contain a negative number. Since the sum is 5 I can't go much far so I included -1 then tried to add them, none are adding up to 5 then I included -3 then voila I get a sum which is equal to 5 that is {-3,-1,1,3,5} now I inputted these numbers to the I,II and III options and none came up to be true. Hence the answer A
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Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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15 Sep 2018, 09:41
Bunuel wrote:
If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

The average will be less than 5.
the median will be less than 5.
The range will be greater than 5.

A.
Intern
Joined: 23 Oct 2017
Posts: 8
Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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15 Sep 2018, 09:59
Bunuel wrote:
If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

It was tricky but easy.
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Joined: 20 Jun 2019
Posts: 1
If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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28 Jun 2019, 10:27
2
DharLog wrote:
Bunuel wrote:
If the sum of a list of consecutive odd integers is 5, which of the following could be true?

I. The average (arithmetic mean) of the list is equal to 5.
II. The median of the list is equal to 5.
III. The range of the list is equal to 5.

A. None
B. I only
C. II only
D. I and II
E. I and III

The average will be less than 5.
the median will be less than 5.
The range will be greater than 5.

A.

Hello,
I have a doubt,
The initial statement doesn't tell us anything about the nature of the list.
what if the list is composed by only number 5?
In this case I and II could be possible?

Intern
Joined: 18 Sep 2018
Posts: 2
Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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25 Aug 2019, 10:25
Can we assume all consecutive integer lists have a size of 2?
Re: If the sum of a list of consecutive odd integers is 5, which of the fo   [#permalink] 25 Aug 2019, 10:25