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# Set S consists of five consectuve integers, and set T

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Set S consists of five consectuve integers, and set T [#permalink]

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17 Apr 2008, 17:43
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Set S consists of five consectuve integers, and set T consists of seven consecutive integers. Is the median of the numbers in set S equal to the median of the numbers in set T?

C1. The median of the numbers in set S is 0.

C2. The sum of the numbers in set S is equal to the sum of the numbers in set T.

Kudos [?]: 163 [0], given: 1

Director
Joined: 10 Sep 2007
Posts: 934

Kudos [?]: 338 [1], given: 0

Re: DS median of sets [#permalink]

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17 Apr 2008, 19:20
1
KUDOS
Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer.
So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer.
So median of set T = b, and Average = 7b/7 = b

Statement 1:
Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2:
Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements:
From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

Kudos [?]: 338 [1], given: 0

SVP
Joined: 04 May 2006
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Schools: CBS, Kellogg
Re: DS median of sets [#permalink]

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17 Apr 2008, 20:34
abhijit_sen wrote:
Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer.
So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer.
So median of set T = b, and Average = 7b/7 = b

Statement 1:
Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2:
Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements:
From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

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Senior Manager
Joined: 29 Jan 2007
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Re: DS median of sets [#permalink]

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18 Apr 2008, 23:57
abhijit_sen wrote:
Given set S = {a-2d,a-d,a,a+d,a+2d}, where d = 1, and a is any integer.
So median of set S = a, and Average = 5a/5 = a

Given set T = {b-3d,b-2d,b-d,b,b+d,b+2d,b+3d}, where d = 1, and b is any integer.
So median of set T = b, and Average = 7b/7 = b

Statement 1:
Tells us median of set S = 0 => a = 0, But this statement tells us nothing about T, so insufficient.

Statement 2:
Tells us 5a = 7b => a = 7b/5, which means a (median of set S) is not equal to b(median of set T) provided b is not equal to 0, otherwise a will become 0, so this statement alone is not sufficient.

Combining both statements:
From statement one we know a=0, so statement two tells us b is also zero. So both sets have same median.

Abhijit,
My hunch is, Answer could be B here

I think , for 2 sets of "consecutive" number, 5a=7b is possible only when a=b=0
Which makes B SUFFICIENT.

Can you think of example where B is not sufficient ?

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CEO
Joined: 17 Nov 2007
Posts: 3584

Kudos [?]: 4586 [0], given: 360

Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Re: DS median of sets [#permalink]

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19 Apr 2008, 00:39
kyatin wrote:
Abhijit,
My hunch is, Answer could be B here

I think , for 2 sets of "consecutive" number, 5a=7b is possible only when a=b=0
Which makes B SUFFICIENT.

Can you think of example where B is not sufficient ?

s={5,6,7,8,9} t={2,3,4,5,6,7,8} sum=35 but medians are different.
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Kudos [?]: 4586 [0], given: 360

Senior Manager
Joined: 29 Jan 2007
Posts: 440

Kudos [?]: 68 [0], given: 0

Location: Earth
Re: DS median of sets [#permalink]

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19 Apr 2008, 08:11
walker wrote:
kyatin wrote:
Abhijit,
My hunch is, Answer could be B here

I think , for 2 sets of "consecutive" number, 5a=7b is possible only when a=b=0
Which makes B SUFFICIENT.

Can you think of example where B is not sufficient ?

s={5,6,7,8,9} t={2,3,4,5,6,7,8} sum=35 but medians are different.

heheh. that was easy.

I did use his equation to just plug in numbers...but created two sequences by incorrect calculations..

Kudos [?]: 68 [0], given: 0

Re: DS median of sets   [#permalink] 19 Apr 2008, 08:11
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