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

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

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New post 16 Aug 2016, 06:08
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Question Stats:

62% (01:36) correct 38% (01:59) wrong based on 121 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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Re: If the sum of a list of consecutive odd integers is 5, which of the fo  [#permalink]

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New post 16 Aug 2016, 07:27
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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


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

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New post 04 Apr 2018, 11:12
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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New post 15 Sep 2018, 10:41
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.
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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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New post 15 Sep 2018, 10:59
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.
answer : A
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Re: If the sum of a list of consecutive odd integers is 5, which of the fo   [#permalink] 15 Sep 2018, 10:59
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