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Set K consists of a finite number of consecutive odd

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Set K consists of a finite number of consecutive odd [#permalink] New post 25 Oct 2009, 00:13
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Set K consists of a finite number of consecutive odd integers. If x is the smallest number in K and y is the greatest, then y - x =

(1) The average (arithmetic mean) of set K is –36.

(2) There are 8 numbers in set K.
[Reveal] Spoiler: OA
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Re: stats [#permalink] New post 25 Oct 2009, 00:57
Economist wrote:
Set K consists of a finite number of consecutive odd integers. If x is the smallest number in K and y is the greatest, then y - x =

(1) The average (arithmetic mean) of set K is –36.

(2) There are 8 numbers in set K.


(1) Insufficient. It could be (-37,-35), (-39,-37,-35,-33), etc.
(2) Insufficient. It could be any 8 (consecutive odd) numbers.

Combining information the set must be (-43,-41,-39,-37,-35,-33,-31,-29). The trick here is that they are consecutive odd numbers.

y-x is -29-(-43) = 14 and the answer is C.
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Re: stats [#permalink] New post 25 Oct 2009, 13:12
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Economist wrote:
Set K consists of a finite number of consecutive odd integers. If x is the smallest number in K and y is the greatest, then y - x =

(1) The average (arithmetic mean) of set K is –36.

(2) There are 8 numbers in set K.


From the stem: first term x, las t term y --> as we have consecutive odd integers then y=x+2(n-1), where n is the number of terms in the set. --> y-x=x+2(n-1)-x=2(n-1)

Basically we should find the number of terms to calculate y-x.

(1) The average=-36, --> (x+y)/2=-36 --> (2x+2(n-1))=-36 --> x+n-1=-36. Multiple choices for x and n. Not sufficient.

The mean of consecutive ODD integers is ODD, when # of terms is ODD.
The mean of consecutive ODD integers is EVEN, when # of terms is EVEN.
So, as -36 is even, that is why the mean =(first term+last term)/2=-36

(2) n=8. --> y-x=2(n-1)=14. Sufficient

Answer: B.
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Manager
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Re: stats [#permalink] New post 25 Oct 2009, 14:23
D'oh!

I keep falling into these traps. Hopefully, practice will allow me to master them eventually...
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Re: Set K consists of a finite number of consecutive odd [#permalink] New post 24 Jul 2014, 04:21
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Re: Set K consists of a finite number of consecutive odd   [#permalink] 24 Jul 2014, 04:21
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