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# Two sets, M and Q, include only consecutive multiples of 5

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Kudos [?]: 232 [1] , given: 324

Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  21 Mar 2013, 09:06
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60% (02:15) correct 40% (01:19) wrong based on 60 sessions
Two sets, M and Q, include only consecutive multiples of 5 and only consecutive multiples of 10 as their members, respectively. Both sets M and Q contain more than one member each. Is the median of set Q more than the median of set M?

(1) Set M contains two times as many elements as set Q
(2) The smallest element in either set is 20
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Mar 2013, 10:10, edited 1 time in total.
Edited the question and OA.
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Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  21 Mar 2013, 10:03
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Are you sure it's D?

M multiple of 5
Q multiple of 10

$$M={5,10,15,20}$$
$$Q={30,40}$$

median M < median Q

$$M={50,55,60,65}$$
$$Q={30,40}$$

median M > median Q

Maybe I'm missing something...
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Kudos [?]: 40974 [1] , given: 5598

Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  08 Nov 2013, 01:11
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Expert's post
piyushmnit wrote:
Can someone please explain why C is correct

Two sets, M and Q, include only consecutive multiples of 5 and only consecutive multiples of 10 as their members, respectively. Both sets M and Q contain more than one member each. Is the median of set Q more than the median of set M?

(1) Set M contains two times as many elements as set Q. If M={5, 10, 15, 20, 25, 30, 35} and Q={0, 10, 20}, then the median of M (20) is greater than the median of Q (10) BUT if M={5, 10, 15, 20, 25, 30, 35} and Q={20, 30, 40}, then the median of M (20) is less than the median of Q (30). Not sufficient.

(2) The smallest element in either set is 20. If M={20, 25, 30, 35, 40, 45, 50} and Q={20, 30, 40}, then the median of M (35) is greater than the median of Q (30) BUT if M={20, 25, 30} and Q={20, 30, 40}, then the median of M (25) is less than the median of Q (30). Not sufficient.

(1)+(2) Set M contains two times as many elements as set Q AND the smallest element in either set is 20. This implies that the median of M always will be farther from 20 than the median of Q. Consider the examples:
M={20, 25, 30, 35} and Q={20, 30};
M={20, 25, 30, 35, 40, 45} and Q={20, 30, 40};
M={20, 25, 30, 35, 40, 45, 50, 55} and Q={20, 30, 40, 45};
M={20, 25, 30, 35, 40, 45, 50, 55, 60, 65} and Q={20, 30, 40, 45, 50}.
Sufficient.

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Kudos [?]: 40974 [0], given: 5598

Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  21 Mar 2013, 10:17
Expert's post
guerrero25 wrote:
Two sets, M and Q, include only consecutive multiples of 5 and only consecutive multiples of 10 as their members, respectively. Both sets M and Q contain more than one member each. Is the median of set Q more than the median of set M?

(1) Set M contains two times as many elements as set Q
(2) The smallest element in either set is 20

Edited the OA. It must be C, not D.
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Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  07 Nov 2013, 20:13
Can someone please explain why C is correct
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Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]  08 Nov 2013, 07:55
Thanks a lot for the reply !!!!
Re: Two sets, M and Q, include only consecutive multiples of 5   [#permalink] 08 Nov 2013, 07:55
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