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

It is currently 20 Feb 2019, 19:44

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
Events & Promotions in February
PrevNext
SuMoTuWeThFrSa
272829303112
3456789
10111213141516
17181920212223
242526272812
Open Detailed Calendar
  • Free GMAT Prep Hour

     February 20, 2019

     February 20, 2019

     08:00 PM EST

     09:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. Wednesday, February 20th at 8 PM EST
  • Online GMAT boot camp for FREE

     February 21, 2019

     February 21, 2019

     10:00 PM PST

     11:00 PM PST

    Kick off your 2019 GMAT prep with a free 7-day boot camp that includes free online lessons, webinars, and a full GMAT course access. Limited for the first 99 registrants! Feb. 21st until the 27th.

The arithmetic mean of the even integers from 200 to 300

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

Hide Tags

 
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3340
Location: India
GPA: 3.12
Premium Member
The arithmetic mean of the even integers from 200 to 300  [#permalink]

Show Tags

New post 22 Dec 2017, 06:00
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

73% (01:27) correct 27% (02:04) wrong based on 67 sessions

HideShow timer Statistics

The arithmetic mean of the even integers from 200 to 300 (both inclusive) is greater by what number than the arithmetic mean of the odd integers in the same range?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: Experts Global

_________________

You've got what it takes, but it will take everything you've got

Intern
Intern
avatar
B
Joined: 30 Aug 2017
Posts: 7
WE: Supply Chain Management (Other)
Re: The arithmetic mean of the even integers from 200 to 300  [#permalink]

Show Tags

New post 22 Dec 2017, 06:33
is the answer E?

300-200 + 1 = 101
299-201 + 1 = 99
101 - 99 = 2
Current Student
avatar
V
Joined: 27 May 2014
Posts: 524
GMAT 1: 730 Q49 V41
GMAT ToolKit User Premium Member
Re: The arithmetic mean of the even integers from 200 to 300  [#permalink]

Show Tags

New post 22 Dec 2017, 06:56
2
pushpitkc wrote:
The arithmetic mean of the even integers from 200 to 300(both inclusive) is greater by what number
than the arithmetic mean of the odd integers in the same range?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: Experts Global


Lets consider a smaller range:
(1) 200 to 204
even numbers: 200, 202, 204; Avg = 202
Odd numbers: 201, 203; Avg = (201+203)/2 = 202
Difference = 0

(1) 200 to 210
even numbers: 200, 202, 204, 206, 208, 210; Avg = (204+206)/2 = 205
Odd numbers: 201, 203, 205, 207, 209 Avg = (201+203+205+207+209)/5 = 205
Difference = 0

Ans: C.
_________________

440 to 730: If I Can, You Can Too

examPAL Representative
User avatar
G
Joined: 07 Dec 2017
Posts: 889
Re: The arithmetic mean of the even integers from 200 to 300  [#permalink]

Show Tags

New post 22 Dec 2017, 06:57
Writing down the first few elements of the two sequences can help us understand what we're dealing with.
This is a Logical approach.

The even numbers between 200 to 300 are 200, 202, 204..... 296, 298, 300.
As usual for sequences on the GMAT, the difference between each two terms is constant.
So, the sum of the first and last terms (200+300) equals the sum of the second and second-last terms (202+298) and so on.
Then the average of this sequence is just (200+300)/2=250.

Similarly, the odd sequence is 201, 203, 205....295, 297, 299.
Once again, the sum of the first and last (201+299) is the same as the sum of the second and second-last (203 + 297) and so on.
Then the average of this sequence is (201+299)/2=250.

Therefore the difference between averages is 0.
(C) is our answer.
_________________

Image
Sign up for 7-day free trial
Image

Senior SC Moderator
avatar
V
Joined: 22 May 2016
Posts: 2489
The arithmetic mean of the even integers from 200 to 300  [#permalink]

Show Tags

New post 22 Dec 2017, 08:54
pushpitkc wrote:
The arithmetic mean of the even integers from 200 to 300(both inclusive) is greater by what number
than the arithmetic mean of the odd integers in the same range?

A. -2
B. -1
C. 0
D. 1
E. 2

Source: Experts Global

Evenly spaced sequence

The arithmetic mean of an arithmetic sequence is
\(\frac{FirstTerm + LastTerm}{2}\)

Even integers, arithmetic mean:
\(\frac{200+300}{2} = 250\)

Odd integers, arithmetic mean:
\(\frac{201 + 299}{2} = 250\)

Difference: 0

Answer C

Small sample
As posters above demonstrate, to use a small sample is often shrewd.
Yet another way to take a small sample:

Replicate the pattern of the numbers in the prompt
• begin and end with even numbers
• if you're not sure, use integers that end in the same units digit (here, 0), and
• if you're going to do all the math, choose small numbers

The arithmetic mean of the even integers from 0 to 10, inclusive
\(0, 2, 4, 6, 8, 10\), where \(A =\frac{S}{n} = \frac{30}{6} = 5\)

Arithmetic mean of odd integers from 0 to 10, inclusive
\(1, 3, 5, 7, 9\), where \(A=\frac{S}{n} = \frac{25}{5} = 5\)
Difference: 0

Answer C
_________________

To live is the rarest thing in the world.
Most people just exist.

Oscar Wilde

GMAT Club Bot
The arithmetic mean of the even integers from 200 to 300   [#permalink] 22 Dec 2017, 08:54
Display posts from previous: Sort by

The arithmetic mean of the even integers from 200 to 300

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


Copyright

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®.