Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Two sets, M and Q, include only consecutive multiples of 5 [#permalink]
21 Mar 2013, 09:06

1

This post received KUDOS

1

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

61% (02:16) correct
39% (01:20) wrong based on 54 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

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. _________________

Re: Two sets, M and Q, include only consecutive multiples of 5 [#permalink]
08 Nov 2013, 01:11

1

This post received KUDOS

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.