Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

 It is currently 15 Jul 2019, 23:33 ### 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

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # A set of data contains five terms. If the average of those terms is 12

Author Message
TAGS:

### Hide Tags

Math Expert V
Joined: 02 Sep 2009
Posts: 56237
A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags 00:00

Difficulty:   45% (medium)

Question Stats: 66% (02:18) correct 34% (02:14) wrong based on 141 sessions

### HideShow timer Statistics A set of data contains five terms. If the average of those terms is 12 and the range of the set is 15, what is the greatest possible value of a term in that set?

A. 12
B. 15
C. 18
D. 21
E. 24

_________________
Senior PS Moderator V
Joined: 26 Feb 2016
Posts: 3360
Location: India
GPA: 3.12
A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags

1
2
Bunuel wrote:
A set of data contains five terms. If the average of those terms is 12 and the range of the set is 15, what is the greatest possible value of a term in that set?

A. 12
B. 15
C. 18
D. 21
E. 24

If the range is 15, the minimum value is x and the maximum value is x+15

We are also given that the average of the 5 element set is 12. Since we are
asked to find the greatest possible value of the set, the other 3 elements are
equal to the minimum value
$$x+x+15+3x = 5*12 = 60$$ -> $$5x + 15 = 60$$ -> $$x = \frac{45}{5} = 9$$

Therefore, the greatest possible value of a term in the set is x+15 = 24(Option E)
_________________
You've got what it takes, but it will take everything you've got
Manager  B
Joined: 03 Apr 2016
Posts: 89
Location: India
Schools: ISB '19, IIMB EPGP"20
GMAT 1: 580 Q43 V27 GMAT 2: 650 Q32 V48 GRE 1: Q160 V151 GPA: 3.99
WE: Design (Consulting)
Re: A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags

Bunuel wrote:
A set of data contains five terms. If the average of those terms is 12 and the range of the set is 15, what is the greatest possible value of a term in that set?

A. 12
B. 15
C. 18
D. 21
E. 24

This question expects us to find out the greatest possible value of the term. The question also provides the average of the terms and range of terms. One of the ways of solving such questions is to assign all variables expect one with a lowest possible value 'x' for example. Now, the last variable can be called 'n'.
Since we know mean is 12, we get (x+x+x+x+n)/5 = 12 => 4x+n = 60. Now the range is given as 15 => n-x = 15.
upon solving these two linear equations, we can find out that x=9 and n=60-4*9 = 24. So greatest term in the set is 24, option D
Target Test Prep Representative D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 6923
Location: United States (CA)
Re: A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags

Bunuel wrote:
A set of data contains five terms. If the average of those terms is 12 and the range of the set is 15, what is the greatest possible value of a term in that set?

A. 12
B. 15
C. 18
D. 21
E. 24

Using the average formula: average = sum/number, we see that the sum of the 5 terms is 60.

We can let a = the smallest term and b = the largest term. Since range = largest - smallest, we see that the range is (b - a) = 15. We want to determine the greatest possible value for b, so we should minimize the sum of the remaining terms. To do that, we let each of the remaining three terms be equal to a, Thus, we have:

a + a + a + a + b = 60

and

b - a = 15

If we subtract the second equation from the first, we have:

5a = 45

a = 9

Thus, b = 9 + 15 = 24.

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

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.

Director  P
Joined: 02 Oct 2017
Posts: 727
Re: A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags

I go via options..
Largest value in options is 24
So if 24 is largest then for difference of 15, 9 should be minimum.
And remaining 27 out of 60(which is sum) can be easily compensated by 3 9s

Posted from my mobile device
_________________
Give kudos if you like the post
Manager  S
Joined: 12 Apr 2017
Posts: 112
Location: United States
Concentration: Finance, Operations
GPA: 3.1
A set of data contains five terms. If the average of those terms is 12  [#permalink]

### Show Tags

My thought:

5 values, the range is 15 so the lowest plus 15 = maximum value.
Average = 12, so the total of the set is 60

Set each value to the lowest possible = "x"

you get

x + x + x + x + (x+15) = 60
5x + 15 = 60
5x = 45
x = 9
x + 15 = 24 A set of data contains five terms. If the average of those terms is 12   [#permalink] 01 Feb 2019, 14:51
Display posts from previous: Sort by

# A set of data contains five terms. If the average of those terms is 12  