GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 19 Jul 2018, 10:44

Close

GMAT Club Daily Prep

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.

Close

Request Expert Reply

Confirm Cancel

Set S is comprised of six distinct positive integers less than 10.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Expert Post
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 47110
Set S is comprised of six distinct positive integers less than 10.  [#permalink]

Show Tags

New post 01 Aug 2017, 02:08
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

75% (00:51) correct 25% (00:46) wrong based on 62 sessions

HideShow timer Statistics

Set S is comprised of six distinct positive integers less than 10. Which of the following must be true?

I: The median is an integer
II: The median is less than the average
III: The range of digits in Set S is less than 8

(A) I only

(B) I & II

(C) II & III

(D) III only

(E) None of the above.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Director
Director
User avatar
P
Joined: 18 Aug 2016
Posts: 631
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
GMAT ToolKit User Premium Member Reviews Badge
Re: Set S is comprised of six distinct positive integers less than 10.  [#permalink]

Show Tags

New post 01 Aug 2017, 02:25
Bunuel wrote:
Set S is comprised of six distinct positive integers less than 10. Which of the following must be true?

I: The median is an integer
II: The median is less than the average
III: The range of digits in Set S is less than 8

(A) I only

(B) I & II

(C) II & III

(D) III only

(E) None of the above.


I: The median is an integer
Consider Set 1,2,3,4,5,6 Median is 3.5..Not Necessarily

II: The median is less than the average
Consider Set 1,2,3,4,5,6 Median is 3.5 and average is 3.5.....Not necessarily

III: The range of digits in Set S is less than 8
Consider Set 1,2,3,4,5,9 Range is 8.....Not Necessarily

None of the above
E
_________________

We must try to achieve the best within us


Thanks
Luckisnoexcuse

Intern
Intern
avatar
B
Joined: 15 Jul 2017
Posts: 7
Re: Set S is comprised of six distinct positive integers less than 10.  [#permalink]

Show Tags

New post 20 Aug 2017, 07:36
Bunuel wrote:
Set S is comprised of six distinct positive integers less than 10. Which of the following must be true?

I: The median is an integer
II: The median is less than the average
III: The range of digits in Set S is less than 8

(A) I only

(B) I & II

(C) II & III

(D) III only

(E) None of the above.



I. The median is an integer.

Median when there are even no. of items in a set is the mean of the middle two elements.

a b [c d] e f -----> (c+d)/2

This need not be an integer all the time.

I is not an answer. Eliminate (A) and (B).



III. The range of set is less than 8.

Consider the set with a 1 and a 9. For example,

1, 2, 4, 6, 7, 9.

Range = 9-1 ------> 8

III is not an answer. Eliminate (C) and (D).

We can stop here. The answer by elimination is (E).



II. The median is less than average.

Consider a equally spaced set, basically consecutive integers, where we know mean = median.

1, 2, 3, 4, 5, 6

Median = (3 + 4)/2 ------> 7/2 -------> 3.5

Mean = (1 + 2 + 3 + 4 + 5 +6)/6 ------> 21/6 ------> 3.5 (Note you can calculate mean for the set by (1 + 6)/2, since the set is equally spaced.)

\(Mean=Median\)

This leaves (E), since none of the conditions have to be true.
Re: Set S is comprised of six distinct positive integers less than 10. &nbs [#permalink] 20 Aug 2017, 07:36
Display posts from previous: Sort by

Set S is comprised of six distinct positive integers less than 10.

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.