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

 It is currently 13 Dec 2018, 06:10

Stanford Chat (Calls Started)  |  Wharton Chat  (Calls Expected Soon)  |  Fuqua Chat (Calls Expected Soon)

### 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

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

## Events & Promotions

###### Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
• ### The winning strategy for 700+ on the GMAT

December 13, 2018

December 13, 2018

08:00 AM PST

09:00 AM PST

What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.
• ### GMATbuster's Weekly GMAT Quant Quiz, Tomorrow, Saturday at 9 AM PST

December 14, 2018

December 14, 2018

09:00 AM PST

10:00 AM PST

10 Questions will be posted on the forum and we will post a reply in this Topic with a link to each question. There are prizes for the winners.

# In a list of K consecutive integers, the median is 240. If K is an odd

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 51184
In a list of K consecutive integers, the median is 240. If K is an odd  [#permalink]

### Show Tags

28 Mar 2018, 02:07
00:00

Difficulty:

45% (medium)

Question Stats:

78% (01:51) correct 22% (02:13) wrong based on 53 sessions

### HideShow timer Statistics

In a list of K consecutive integers, the median is 240. If K is an odd number, what is the greatest integer in the list?

(A) 239 + (K - 1)/2
(B) 240 + (K - 1)/2
(C) 239 + K/2
(D) 240 + (K + 1)/2
(E) 120 + K

_________________
Manager
Joined: 20 Feb 2017
Posts: 164
Location: India
Concentration: Operations, Strategy
WE: Engineering (Other)
In a list of K consecutive integers, the median is 240. If K is an odd  [#permalink]

### Show Tags

28 Mar 2018, 03:00
In an AP series , the median or middle term is given by = (first term + last term) /2
Let the last term =L
first term = A
In an AP , last term is given by = a+[n-1]d , where n= no of terms and d= common difference
Here n=k, and d=1 (consecutive numbers)
hence ,
240= [a+a+(k-1)]/2
this gives a= 240- (k-1)/2
hence the largest integer or last term = a+ (k-1)
substituting a, we get
last term or largest term = 240+ (k-1)/2
option B
_________________

If you feel the post helped you then do send me the kudos (damn theya re more valuable than \$)

Manager
Joined: 30 Mar 2017
Posts: 135
GMAT 1: 200 Q1 V1
Re: In a list of K consecutive integers, the median is 240. If K is an odd  [#permalink]

### Show Tags

28 Mar 2018, 12:58
We are given that a list contains K consecutive integers and that K is odd. So the median term is the $$\frac{(K+1)}{2}$$th term of $$K$$ terms. Which means that there are $$K - \frac{(K+1)}{2}$$ terms from the median to the max term.

(median) + (# of terms to get to the max) = max term
$$240 + K - \frac{(K+1)}{2}$$

$$240+\frac{2K-K-1}{2}$$

$$240+\frac{K-1}{2}$$

VP
Joined: 07 Dec 2014
Posts: 1128
In a list of K consecutive integers, the median is 240. If K is an odd  [#permalink]

### Show Tags

28 Mar 2018, 19:27
Bunuel wrote:
In a list of K consecutive integers, the median is 240. If K is an odd number, what is the greatest integer in the list?

(A) 239 + (K - 1)/2
(B) 240 + (K - 1)/2
(C) 239 + K/2
(D) 240 + (K + 1)/2
(E) 120 + K

let K=3
greatest term=241
241=240+(3-1)/2
B
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4294
Location: United States (CA)
Re: In a list of K consecutive integers, the median is 240. If K is an odd  [#permalink]

### Show Tags

29 Mar 2018, 16:25
1
Bunuel wrote:
In a list of K consecutive integers, the median is 240. If K is an odd number, what is the greatest integer in the list?

(A) 239 + (K - 1)/2
(B) 240 + (K - 1)/2
(C) 239 + K/2
(D) 240 + (K + 1)/2
(E) 120 + K

We can let K = 3, so the list of numbers would be 239, 240, 241.

Looking at the answer choices we see that B must be correct since 240 + (3 - 1)/2= 241.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: In a list of K consecutive integers, the median is 240. If K is an odd &nbs [#permalink] 29 Mar 2018, 16:25
Display posts from previous: Sort by