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

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Manager
Joined: 29 Jul 2006
Posts: 89

Kudos [?]: 5 [0], given: 0

Set S consists of 5 consecutive integers, and set T consists [#permalink]

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04 Nov 2006, 04:25
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95% (hard)

Question Stats:

36% (01:36) correct 64% (01:08) wrong based on 239 sessions

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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 0
(2) The sum of the numbers in set S is equal to the sum of the numbers in set T

OPEN DISCUSSION OF THIS QUESTION IS HERE: set-s-consists-of-five-consecutive-integers-and-set-t-consi-109672.html
[Reveal] Spoiler: OA

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Intern
Joined: 02 Nov 2006
Posts: 9

Kudos [?]: 4 [3], given: 0

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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

Uphill,

Kudos [?]: 4 [3], given: 0

Math Expert
Joined: 02 Sep 2009
Posts: 42248

Kudos [?]: 132526 [1], given: 12324

Re: Set S consists of 5 consecutive integers, and set T consists [#permalink]

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28 May 2013, 12:40
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Set S consists of five 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?

Sets S and T are evenly spaced. In any evenly spaced set (aka arithmetic progression):
(mean) = (median) = (the average of the first and the last terms) and (the sum of the elements) = (the mean) * (# of elements).

So the question asks whether (mean of S) = (mean of T)?

(1) The median of the numbers in Set S is 0 --> (mean of S) = 0, insufficient as we know nothing about the mean of T, which may or may not be zero.

(2) The sum of the numbers in set S is equal to the sum of the numbers in set T --> 5*(mean of S) = 7* (mean of T) --> answer to the question will be YES in case (mean of S) = (mean of T) = 0 and will be NO in all other cases (for example (mean of S) =7 and (mean of T) = 5). Not sufficient.

(1)+(2) As from (1) (mean of S) = 0 then from (2) (5*(mean of S) = 7* (mean of T)) --> (mean of T) = 0. Sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: set-s-consists-of-five-consecutive-integers-and-set-t-consi-109672.html
_________________

Kudos [?]: 132526 [1], given: 12324

Senior Manager
Joined: 01 Oct 2006
Posts: 493

Kudos [?]: 41 [0], given: 0

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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)

Kudos [?]: 41 [0], given: 0

Retired Moderator
Joined: 05 Jul 2006
Posts: 1749

Kudos [?]: 442 [0], given: 49

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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

Kudos [?]: 442 [0], given: 49

Intern
Joined: 16 Jan 2013
Posts: 32

Kudos [?]: 33 [0], given: 8

Concentration: Finance, Entrepreneurship
GMAT Date: 08-25-2013

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28 May 2013, 12:36
slamdunksy21 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

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

Uphill,

gud example ....//

Kudos [?]: 33 [0], given: 8

Re:   [#permalink] 28 May 2013, 12:36
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