If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x : GMAT Problem Solving (PS)
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# If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x

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If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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15 Feb 2013, 11:01
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If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x could be

A. 16/5
B. 17/5
C. 4
D. 30/7
E. 31/7
[Reveal] Spoiler: OA

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Last edited by Bunuel on 16 Feb 2013, 02:52, edited 1 time in total.
Edited the question.
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Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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15 Feb 2013, 18:20
emmak wrote:
If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x could be

16/5

17/5

4

30/7

31/7

The median is the middle number once all the numbers are arranged in increasing/decreasing order.
We see that
11/3 = 3.something,
28/9 = 3.something
21/5 = 4.something
9/2 = 4.something

So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order)
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Get started with Veritas Prep GMAT On Demand for $199 Veritas Prep Reviews Manager Status: Waiting Joined: 11 Dec 2012 Posts: 53 Location: Bahrain Concentration: Healthcare, General Management GMAT 1: 640 Q49 V24 GMAT 2: 720 Q49 V40 WE: Sales (Other) Followers: 6 Kudos [?]: 56 [1] , given: 144 Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink] ### Show Tags 29 Mar 2013, 09:29 1 This post received KUDOS VeritasPrepKarishma wrote: The median is the middle number once all the numbers are arranged in increasing/decreasing order. We see that 11/3 = 3.something, 28/9 = 3.something 21/5 = 4.something 9/2 = 4.something So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order) Answer (C) The median could be some number such as 4.01 or 3.99, in that we would have to test answer choices too ? Am I right ? SVP Joined: 05 Jul 2006 Posts: 1743 Followers: 6 Kudos [?]: 318 [1] , given: 49 Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink] ### Show Tags 29 Mar 2013, 09:59 1 This post received KUDOS emmak wrote: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x could be A. 16/5 B. 17/5 C. 4 D. 30/7 E. 31/7 step 1 get all set members expressed in terms of a common denominator , i.e. 90 thus the set becomes (405/90 , 330/90 , 280/90 , 378/90 , 90x /90) so 90x is the median of set (405,330,280,378) reorder set (405 , 378,330,280) for 90x to be median of the set it has to be between 378 and 330 looking at number choices d,e are excluded as 7 is no a factor of 90 , and then we are left with A,B,C A - 16/5*90 = 288 B = 17/5*90 = 306 C = 90*4 = 360 Obviously then , C it is Veritas Prep GMAT Instructor Joined: 16 Oct 2010 Posts: 7132 Location: Pune, India Followers: 2140 Kudos [?]: 13716 [0], given: 222 Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink] ### Show Tags 30 Mar 2013, 02:40 jainpiyushjain wrote: VeritasPrepKarishma wrote: The median is the middle number once all the numbers are arranged in increasing/decreasing order. We see that 11/3 = 3.something, 28/9 = 3.something 21/5 = 4.something 9/2 = 4.something So x should greater than the smallest two numbers and smaller than the greatest two numbers. We can see that x = 4 is possible. (First look at the simplest option or the middle option since options are usually arranged in increasing/decreasing order) Answer (C) The median could be some number such as 4.01 or 3.99, in that we would have to test answer choices too ? Am I right ? Yes, x could be 3.99, 4.01 etc but x could be 4 too. The question says 'x could be', which means there are various possible values of x but only one value is given in the five options. Since we see that 4 is already there and x can certainly be 4, it means we don't need to test any other options because they cannot be the value of x. After all, PS questions have only one correct answer. _________________ Karishma Veritas Prep | GMAT Instructor My Blog Get started with Veritas Prep GMAT On Demand for$199

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Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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01 Apr 2013, 06:48
emmak wrote:
If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x could be

A. 16/5
B. 17/5
C. 4
D. 30/7
E. 31/7

$$9/2 = 4.5$$
$$11/3= 3.66$$
$$28/9 = 3.13$$
$$21/5 = 4.2$$

Since the set has 5 numbers the median has to be the middle value
Arranging the number in ascending order we get 3.13, 3.66, 4.2, 4.5. Now for x to be the median of the given set, x has to lie between 3.66 and 4.2.
Only one option satisfies the condition i.e x =4
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Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x [#permalink]

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Re: If x is the median of the set {9/2, 11/3, 28/9, 21/5, x}, x   [#permalink] 09 Jul 2014, 06:40
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