M19 Q23 : GMAT Club Tests

M19 Q23

Oldest

Best Reply

Author

Message

Manager

Joined: 18 Oct 2008

Posts: 199

Followers: 1

Kudos [?]: 11 [0], given: 11

M19 Q23 [#permalink]

22 Jul 2010, 09:35

00:00

Question Stats:

0% (00:00) correct

0% (00:00) wrong

based on 0 sessions

If set T was derived from set S when all elements of set S were multiplied by 2, is the median of set T greater than that of set S ?

1. All elements of set S are positive
2. The median of set S is positive

Please explain, OE is confusing me!

[Reveal] Spoiler:

The median of a set is either an element from the set or the average of two elements from the set. This means that if all elements of the set are multiplied by 2, its median will also be multiplied by 2.

Statement (1) by itself is sufficient. The median of set S is positive. Thus, the median of set T is greater than that of set S .

Statement (2) by itself is sufficient. The median of set S is positive. Thus, the median of set T is greater than that of set S .
The correct answer is D.

Manager

Joined: 16 Apr 2010

Posts: 225

Followers: 3

Kudos [?]: 29 [0], given: 12

Re: M19 Q23 [#permalink]

23 Jul 2010, 01:30

Hi

Condition 1 = set S has positive elements
Consider set S = { 1 2 3 4 5 } then set T = { 2 4 6 8 10 }
median of set S = 3 < median of set T = 6

Condition 2 = set S has positive median
Consider set S = { -2 -3 1 2 3 } then set T = { -4 -6 2 4 6 }
median of set S = 1 < median of set T = 2

In general, the elements of set T = 2* elements of set S.
If median of S > 0, then median of T>S>0
If median of S < 0, then median of T<S<0

Hope this is clear to you now.

regards,
Jack

Intern

Status: Obsessed with failure!

Joined: 29 May 2011

Posts: 28

Location: India

Concentration: General Management, Marketing

GMAT 1: 630 Q47 V29
GMAT 2: 540 Q41 V23
GMAT 3: 610 Q39 V35

WE: Programming (Computer Software)

Followers: 0

Kudos [?]: 11 [0], given: 29

Re: M19 Q23 [#permalink]

14 Feb 2012, 05:27

Hey guys,

I need a clarification on the wording of the question:

when the Q stem says the set T was derived from the set S when elements of the set 'S' were multiplied by 2, can we consider set T to be a subset of set 'S'.

can someone plz clarify whether 'derived' in here can qualify for meaning 'subset' of a set?
_________________

Character is what you have left when you've lost everything you can lose!

Obliterated into oblivion 630 -> 540 -> A Big SOS!

Re: M19 Q23 [#permalink] 14 Feb 2012, 05:27

		Similar topics	Author	Replies	Last post
Similar Topics:		M19 Q9	ventivish	5	12 Nov 2008, 21:38
		M19 Q36	ventivish	4	12 Nov 2008, 22:26
		M19#13	topmbaseeker	11	07 Feb 2009, 16:25
	2	M19#14	topmbaseeker	15	07 Feb 2009, 16:57
		m19#20	millhouse	4	28 Jun 2009, 23:06

M19 Q23

Moderator: Bunuel

Main navigation

GMAT Resources

Partners

MBA Resources

GMAT ® is a registered trademark of the Graduate Management Admission Council ® (GMAC ®). GMAT Club's website has not been reviewed or endorsed by GMAC.

GMAT Courses

Admissions Consulting

M19 Q23

M19 Q23

Main navigation

GMAT Resources

Partners

MBA Resources