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Set S consists of 5 consecutive integers, and set T consists

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Set S consists of 5 consecutive integers, and set T consists [#permalink] New post 04 Nov 2006, 04:25
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Set S consists of 5 consecutive 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?

1) The median of the numbers in set S is O
2) The sum of the numbers in set S is equal to the sum of the numbers in set T
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 [#permalink] New post 05 Nov 2006, 00:58
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Set S consists of 5 consecutive 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?

1) The median of the numbers in set S is O
2) The sum of the numbers in set S is equal to the sum of the numbers in set T


Here is how I see it...

1) S could be (-2, -1, 0, 1, 2)....but set T could be anything. INSUFFICIENT

2) Set S could be (5, 6, 7, 8, 9) with sum of 35 and median of 7
but....
Set T could be (2, 3, 4, 5, 6, 7, 8) with sum of 35 and median of 5 INSUFFICIENT

Combine: S must be (-2, -1, 0, 1, 2) with a sum of 0 and a median of 0
T must then have sum of 0, so T is (-3, -2, -1, 0, 1, 2, 3) sum 0 and median 0. SUFFICIENT

ANSWER: C

Uphill,
Is this reasoning helpful?
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 [#permalink] New post 04 Nov 2006, 04:32
My pick is B
only possible if sum is zero that s(-2,1,0,1,2) T(-3,-2,-1,0,1,2,3)
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 [#permalink] New post 04 Nov 2006, 05:56
Set S consists of 5 consecutive 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?

1) The median of the numbers in set S is O
2) The sum of the numbers in set S is equal to the sum of the numbers in set T


set s( s-2,s-1,s,s+1,s+2) set t (b-3,b-2,b-1,b,b+1,b+2,b+3)

from one


insuff if s = 0 b could be anything

from two

5s = 7b , if s = 7 then t = 5 or s, b = zero....insuff

both together

suff

my answer is c
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 [#permalink] New post 04 Nov 2006, 06:05
yezz wrote:
Set S consists of 5 consecutive 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?

1) The median of the numbers in set S is O
2) The sum of the numbers in set S is equal to the sum of the numbers in set T


set s( s-2,s-1,s,s+1,s+2) set t (b-3,b-2,b-1,b,b+1,b+2,b+3)

from one


insuff if s = 0 b could be anything

from two

5s = 7b , if s = 7 then t = 5 or s, b = zero....insuff

both together

suff

my answer is c


Thanks for expalnation yezz got this one wrong..

C must be answer
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 [#permalink] New post 04 Nov 2006, 06:10
U R WELCOMED MY FRIEND . :)
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 [#permalink] New post 04 Nov 2006, 10:41
I am so sorry - but I still do not see why B is not the answer??
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  [#permalink] 04 Nov 2006, 10:41
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