It is currently 24 Mar 2018, 20:41

### 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 June
Open Detailed Calendar

# What is the average of the first 19 positive even integers?

Author Message
TAGS:

### Hide Tags

Intern
Joined: 16 Mar 2017
Posts: 13
What is the average of the first 19 positive even integers? [#permalink]

### Show Tags

20 Sep 2017, 00:35
1
This post was
BOOKMARKED
00:00

Difficulty:

15% (low)

Question Stats:

86% (00:45) correct 14% (01:15) wrong based on 49 sessions

### HideShow timer Statistics

What is the average of the first 19 positive even integers?

A. 12
B. 14
C. 16
D. 18
E. 20
[Reveal] Spoiler: OA
Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 8003
Location: Pune, India
Re: What is the average of the first 19 positive even integers? [#permalink]

### Show Tags

20 Sep 2017, 03:11
1
KUDOS
Expert's post
1
This post was
BOOKMARKED
Note that the first positive even integer is 2 i.e. 2*1.
The second is 4 i.e. 2*2
The third is 6 i.e. 2*3
So there is a natural counting available with positive even integers.
The 19th will be 2*19 = 38

This forms an Arithmetic Progression. The average will be (2 + 38)/2 = 20

Posted from my mobile device
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

Get started with Veritas Prep GMAT On Demand for \$199

Veritas Prep Reviews

Director
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 528
Location: India
GPA: 3.64
What is the average of the first 19 positive even integers? [#permalink]

### Show Tags

20 Sep 2017, 04:56
2
KUDOS
petrified17 wrote:
What is the average of the first 19 positive even integers?

A. 12
B. 14
C. 16
D. 18
E. 20

If u can remember this formula, it is very quick. I found it on Gmatclub.
Sum of n consecutive even integers = n(n+1)
Sum of 19 positive even integers = 19 x 20
Average = $$\frac{19*20}{19}$$= 20

Please give kudos, if u liked my post!
_________________

Please give kudos, if you like my post

When the going gets tough, the tough gets going...

Last edited by souvonik2k on 26 Sep 2017, 10:17, edited 1 time in total.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 2319
Location: United States (CA)
Re: What is the average of the first 19 positive even integers? [#permalink]

### Show Tags

25 Sep 2017, 18:07
petrified17 wrote:
What is the average of the first 19 positive even integers?

A. 12
B. 14
C. 16
D. 18
E. 20

The first positive even integer is 2 and the nineteenth positive even integer is 38; thus, the average is (2 + 38)/2 = 20.

_________________

Scott Woodbury-Stewart
Founder and CEO

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

Re: What is the average of the first 19 positive even integers?   [#permalink] 25 Sep 2017, 18:07
Display posts from previous: Sort by