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Math Expert V
Joined: 02 Sep 2009
Posts: 58096
If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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Difficulty:   25% (medium)

Question Stats: 71% (01:36) correct 29% (01:59) wrong based on 146 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

_________________
Senior Manager  Joined: 23 Apr 2015
Posts: 289
Location: United States
Concentration: General Management, International Business
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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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

Answer is A, None
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Joined: 03 Apr 2016
Posts: 89
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Concentration: General Management, Leadership
Schools: ISB '19, IIMB EPGP"20
GMAT 1: 580 Q43 V27 GMAT 2: 650 Q32 V48 GRE 1: Q160 V151 GPA: 3.99
WE: Design (Consulting)
Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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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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WE: Information Technology (Other)
Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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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  B
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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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.
Intern  B
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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1
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?

thanks for your help!!
Intern  B
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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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, 11:25
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