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

It is currently 22 Aug 2019, 04:53

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

Which of the following could be the median for a set of integers {97,

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

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 57238
Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 09 Jul 2018, 05:24
00:00
A
B
C
D
E

Difficulty:

  5% (low)

Question Stats:

80% (00:59) correct 20% (01:16) wrong based on 51 sessions

HideShow timer Statistics

e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 3018
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 09 Jul 2018, 05:36

Solution



Given:
    • A set of integers = {97, 98, 56, x, 86}
    • 20 < x < 80

To find:
    • The median of the given set of integers

Approach and Working:
    • As there are 5 terms in the set, the median will be the 3rd term in the series, sorted in ascending or descending order
    • Also, because 20 < x < 80, the least 2 terms will be always x and 56, in any order
    • Hence, the mid-term = 3rd term = 86

Hence, the correct answer is option B.

Answer: B
_________________
VP
VP
User avatar
D
Status: Learning stage
Joined: 01 Oct 2017
Posts: 1032
WE: Supply Chain Management (Energy and Utilities)
Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 09 Jul 2018, 20:49
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

A. 71
B. 86
C. 91.5
D. 97
E. 397.5


There are 2 scenarios for the given set of integers since 20 < x < 80.
1.20 < x < 56 , Arranging in ascending order, {x,56,86,97,98}, we have median=86
2. \(56\leq{x}\)<80, Arranging in ascending order, {56,x,86,97,98}, we have median=86

Ans. (B)
_________________
Regards,

PKN

Rise above the storm, you will find the sunshine
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3913
Location: Canada
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 03 Jan 2019, 12:32
Top Contributor
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

(A) 71
(B) 86
(C) 91.5
(D) 97
(E) 397.5


Since we're told x is an INTEGER, we can eliminate C and E

Rearrange KNOWN values in ascending order: {56, 86, 97, 98}

At this point, we can see that, if x is some number between 56 and 86, the median will be 86

For example, if x = 60, then the set becomes {56, 60, 86, 97, 98}
Median = 86

Answer: B

RELATED VIDEO FROM OUR COURSE

_________________
Test confidently with gmatprepnow.com
Image
GMAT Club Legend
GMAT Club Legend
User avatar
D
Joined: 18 Aug 2017
Posts: 4512
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 06 Jan 2019, 05:18
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

(A) 71
(B) 86
(C) 91.5
(D) 97
(E) 397.5



set of integers wont have optins c & e

so re arranging set ( 56,86,x,97,98)

only value which goes correct is B 86 .
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7420
Location: United States (CA)
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 17 Jun 2019, 17:36
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

A. 71
B. 86
C. 91.5
D. 97
E. 397.5


If 20 < x ≤ 56, then in ascending order, the list of numbers is:

x, 56, 86, 97, 98.

We see that the median is 86.

If 56 ≤ x < 80, then in ascending order, the list of numbers is:

56, x, 86, 97, 98.

We see that the median is 86.

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

ISB School Moderator
User avatar
G
Joined: 08 Dec 2013
Posts: 578
Location: India
Concentration: Nonprofit, Sustainability
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Reviews Badge CAT Tests
Re: Which of the following could be the median for a set of integers {97,  [#permalink]

Show Tags

New post 17 Jun 2019, 17:56
Bunuel wrote:
Which of the following could be the median for a set of integers {97, 98, 56, x, 86}, given that 20 < x < 80?

A. 71
B. 86
C. 91.5
D. 97
E. 397.5


tow possible positions of x (Marked in RED)

x 56 x 86 97 98

In either case, 86 is the median.
_________________
Kindly drop a '+1 Kudos' if you find this post helpful.

GMAT Math Book


-I never wanted what I gave up
I never gave up what I wanted-
GMAT Club Bot
Re: Which of the following could be the median for a set of integers {97,   [#permalink] 17 Jun 2019, 17:56
Display posts from previous: Sort by

Which of the following could be the median for a set of integers {97,

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





cron

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