If S is a finite set of consecutive even numbers, is the : GMAT Data Sufficiency (DS)
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# If S is a finite set of consecutive even numbers, is the

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If S is a finite set of consecutive even numbers, is the [#permalink]

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16 Jun 2007, 19:53
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If S is a finite set of consecutive even numbers, is the median of S an odd number?

(1) The mean of set S is an even number.
(2) The range of set S is divisible by 6.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-is-a-finite-set-of-consecutive-even-numbers-is-the-133385.html
[Reveal] Spoiler: OA
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Re: If S is a finite set of consecutive even numbers, is the [#permalink]

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16 Jun 2007, 20:03
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1 is insufficient as mean will always be even no matter what
2 is sufficient, range is 6 means that there are just 4 nos in the set
for 4 consecutive even numbers, median is average of 2nd and 3rd term which will be odd.
eg. is it is 4,6,8,10 i.e. range is 6
median = 6+8/2 =7
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16 Jun 2007, 20:11
ArvGMAT wrote:
1 is insufficient as mean will always be even no matter what
2 is sufficient, range is 6 means that there are just 4 nos in the set
for 4 consecutive even numbers, median is average of 2nd and 3rd term which will be odd.
eg. is it is 4,6,8,10 i.e. range is 6
median = 6+8/2 =7

mean can be odd, consider 2 4 6 8.

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Re: If S is a finite set of consecutive even numbers, is the [#permalink]

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16 Jun 2007, 21:18
go with 'A'

for a set of consecutive even nos. ,

mean = median !

St1 => mean is even implies median is also even - SUFF

St2 - range can be 0,6,12

-2,0,2 => media is even

2,4,6,8 => median is odd INSUFF
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Re: If S is a finite set of consecutive even numbers, is the [#permalink]

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17 Jun 2007, 05:56
Should be 'A'

Stnt1: If mean of a set of consecutive even numbers is even, the number of the elements in the set will be odd. So the median will be even. hence suff.

Stmt2: Plugin numbers as grad_mba did. Hence insuff
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Re: If S is a finite set of consecutive even numbers, is the [#permalink]

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17 Jun 2007, 19:37
The OA is A .Thanks for the explanations
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Re: If S is a finite set of consecutive even numbers, is the [#permalink]

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26 Jun 2015, 09:16
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282552 wrote:
OA should be D

If S is a finite set of consecutive even numbers, is the median of S an odd number?

The set of consecutive even integers is an evenly spaced set (aka arithmetic progression). Now, for any evenly spaced set mean=median.

(1) The mean of set S is an even number --> mean=median=even. Sufficient.
(2) The range of set S is divisible by 6 --> if S={0, 2, 4, 6} then median=(2+4)/2=3=odd but if S={0, 2, 4, 6, 8, 10, 12} then median=6=even. Not sufficient.

Similar question to practice: if-s-is-a-finite-set-of-consecutive-even-numbers-is-the-median-of-s-191875.html

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-is-a-finite-set-of-consecutive-even-numbers-is-the-133385.html
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Re: If S is a finite set of consecutive even numbers, is the   [#permalink] 26 Jun 2015, 09:16
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