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

 It is currently 17 Oct 2019, 18:27

### 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

# The average of four consecutive odd numbers is 24. Find the largest nu

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 58402
The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 00:59
00:00

Difficulty:

5% (low)

Question Stats:

94% (01:00) correct 6% (00:46) wrong based on 33 sessions

### HideShow timer Statistics

The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

_________________
VP
Joined: 31 Oct 2013
Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
WE: Analyst (Accounting)
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 01:07
Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

$$\frac{x + x + 2 + x + 4 + x + 6}{4}$$ = 24

4x + 12 = 96

4x = 84

x = 21.

largest integer = x + 6 = 21 + 6 = 27.

GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5014
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 10:45
Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

x+x+2+x+4+x+6 = 96
4x+12=96
x= 21
x+6 ; 27
IMO B
Intern
Joined: 24 Jun 2018
Posts: 35
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 16:36
The solutions posted above are correct.

A slightly alternative way to tackle the problem is posted below. This way has less computation.

Let the 4 consecutive odd numbers be x-3, x-1, x+1, x+3

Given that (x-3 + x-1 + x+1 + x+ 3)/4 = 24

4x/4=24

x=24

Our greatest number in the above assumed series is x+3.
Hence, x+3 = 27.

Intern
Joined: 02 Jun 2013
Posts: 44
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 16:51
For easy calculation we can take consecutive numbers as -

x-2,x,x+2,x+4

Avg of them is 24

SUm of numbers = 4x+4
Avg of number = x+1

This equals to 24 .

So x+1 = 24
x= 23

largest number =x+4 = 27
_________________
Nothing comes easy ! Neither do i want !!
VP
Joined: 07 Dec 2014
Posts: 1222
The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

21 Feb 2019, 21:55
Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

because the numbers are a consecutive odd sequence,
24 will be their median also, between 23 and 25
27
B
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8086
Location: United States (CA)
Re: The average of four consecutive odd numbers is 24. Find the largest nu  [#permalink]

### Show Tags

24 Feb 2019, 06:50
Bunuel wrote:
The average of four consecutive odd numbers is 24. Find the largest number.

A. 20
B. 27
C. 36
D. 45
E. 46

Let x = the smallest (odd) integer. The next consecutive odd integer is x + 2, and the two consecutive odd integers after that are x + 4 and x + 6. We can create the equation:

(x + x + 2 + x + 4 + x + 6)/4 = 24

4x + 12 = 96

4x = 84

x = 21, so the largest integer is 27.

Alternate Solution:

By looking at the answer choices, we can reject choices A, C and E since they are not odd. We can also reject choice D since, if the largest number is 45, the average could never be 24. So the only correct answer is choice B (27) and it’s reasonable since 27 is close to the average (24).

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
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.

Re: The average of four consecutive odd numbers is 24. Find the largest nu   [#permalink] 24 Feb 2019, 06:50
Display posts from previous: Sort by