It is currently 20 Oct 2017, 13:10

### 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

# If the average (arithmetic mean) of 5 positive temperatures

Author Message
TAGS:

### Hide Tags

Intern
Joined: 26 Feb 2011
Posts: 35

Kudos [?]: 120 [0], given: 1

If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

06 Mar 2011, 09:31
12
This post was
BOOKMARKED
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:19) correct 31% (01:20) wrong based on 244 sessions

### HideShow timer Statistics

If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:

A. 6x
B. 4x
C. 5x/3
D. 3x/2
E. 3x/5
[Reveal] Spoiler: OA

Kudos [?]: 120 [0], given: 1

Math Forum Moderator
Joined: 20 Dec 2010
Posts: 1964

Kudos [?]: 2051 [0], given: 376

### Show Tags

06 Mar 2011, 09:48
1
This post was
BOOKMARKED
The sum of three greatest should be more than sum of two lowest.

The total sum is; 5x

A. 6x; 6x is more than 5x. Not possible.
B. 4x; 5x-4x=x(Possible)
C. 5x/3; 10x/3; 10x/3 > 5x/3. Not possible
D. 3x/2; 7x/2; 7x/2 > 3x/2. Not possible
E. 3x/5; 22x/5; 22x/5 > 3x/5. Not possible.

Ans: "B"
_________________

Kudos [?]: 2051 [0], given: 376

SVP
Joined: 16 Nov 2010
Posts: 1597

Kudos [?]: 592 [0], given: 36

Location: United States (IN)
Concentration: Strategy, Technology

### Show Tags

06 Mar 2011, 23:55
I took 5 numbers and tried it out, because it's a "could be", so a possibility should be enough.

1, 2, 3, 4, 5 and mean = 15/5 = 3

so highest 3 = 3 + 4 + 5 = 12 = 4*3

_________________

Formula of Life -> Achievement/Potential = k * Happiness (where k is a constant)

GMAT Club Premium Membership - big benefits and savings

Kudos [?]: 592 [0], given: 36

Math Expert
Joined: 02 Sep 2009
Posts: 41892

Kudos [?]: 129017 [3], given: 12187

### Show Tags

07 Mar 2011, 03:09
3
KUDOS
Expert's post
4
This post was
BOOKMARKED
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:
A/ 6x
B/ 4x
C/ 5x/3
D/ 3x/2
E/ 3x/5

Note that we have 5 positive temperatures.

Next, as the average is x then the sum of the temperatures is 5x and as all the temperatures are positive then the sum of the 3 greatest must be more than (or equal to) 3x (as the average of the 3 greatest must be at least x) and less than 5x: 3x<SUM<5x --> only option B fits.

_________________

Kudos [?]: 129017 [3], given: 12187

Intern
Status: Sophomore
Affiliations: President of Student Associoation
Joined: 09 Dec 2010
Posts: 37

Kudos [?]: 1 [0], given: 11

Schools: HBS 2+2, IESE YTP

### Show Tags

07 Mar 2011, 21:25
Temperatures should be positive.

Kudos [?]: 1 [0], given: 11

Manager
Joined: 25 Aug 2008
Posts: 217

Kudos [?]: 76 [0], given: 5

Location: India
WE 1: 3.75 IT
WE 2: 1.0 IT

### Show Tags

18 Apr 2011, 03:05
I followed the same strategy like Fluke.
OA is B.
_________________

Cheers,
Varun

If you like my post, give me KUDOS!!

Kudos [?]: 76 [0], given: 5

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7676

Kudos [?]: 17369 [3], given: 232

Location: Pune, India
Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

06 Oct 2013, 21:50
3
KUDOS
Expert's post
If the average (arithmetic mean) of 5 positive temperatures is x degrees Fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be:

A. 6x
B. 4x
C. 5x/3
D. 3x/2
E. 3x/5

Responding to a pm:

Avg of 5 temperatures is x. So the sum of all 5 temperatures is 5x.
Now what CAN be the sum of the 3 greatest temperatures?

Let's try to find the maximum value that the 'sum of the 3 greatest temperatures' can take and the minimum value that it can take.

Maximum: To make the sum of 3 greatest temperatures as large as possible, we make the 2 lowest temperatures as small as possible. The two lowest temperatures can be as small as 0.0000000000000001 i.e. anything slightly more than 0. So the sum of the 3 greatest temperatures will be slightly less than 5x.

Minimize: To minimize the sum of 3 greatest temperatures, we make the 2 lowest temperatures as high as possible. For the average to be x, either some values should be less than x and some more OR all values could be equal to x. That is, the temperatures could be x, x, x, x, x - in this case the two lowest temperatures are maximum (all temperatures are the same actually). So sum of 3 greatest temperatures will be at least 3x.

Note that only one value lies between 5x and 3x and that is 4x.

We don't really need to figure out the minimum sum. Once we know that maximum sum can be a little less than 5x, we see that the sum of 3 greatest temperatures can easily be 4x. We will be left with a sum of x for the two lowest temperatures. They can be x/2 each. The 3 greatest temperatures can be x, x and 2x or many other variations.
_________________

Karishma
Veritas Prep | GMAT Instructor
My Blog

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

Veritas Prep Reviews

Kudos [?]: 17369 [3], given: 232

Veritas Prep GMAT Instructor
Joined: 16 Oct 2010
Posts: 7676

Kudos [?]: 17369 [1], given: 232

Location: Pune, India
Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

06 Oct 2013, 21:52
1
KUDOS
Expert's post

Kudos [?]: 17369 [1], given: 232

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16635

Kudos [?]: 273 [0], given: 0

Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

29 Nov 2014, 08:51
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 16635

Kudos [?]: 273 [0], given: 0

Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

04 Dec 2015, 04:22
Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

Kudos [?]: 273 [0], given: 0

EMPOWERgmat Instructor
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 9984

Kudos [?]: 3412 [0], given: 172

Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: 340 Q170 V170
Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

05 Dec 2015, 11:26
Hi All,

One of the great 'shortcuts' to this question is that it asks for what COULD be the sum of the three highest temperatures. As such, once you find an answer that COULD be the sum, you can STOP working. Once you prove that Answer
[Reveal] Spoiler:
B
is a possibility, then you've answered the question (and you can stop).

GMAT assassins aren't born, they're made,
Rich
_________________

760+: Learn What GMAT Assassins Do to Score at the Highest Levels
Contact Rich at: Rich.C@empowergmat.com

# Rich Cohen

Co-Founder & GMAT Assassin

Special Offer: Save \$75 + GMAT Club Tests Free
Official GMAT Exam Packs + 70 Pt. Improvement Guarantee
www.empowergmat.com/

***********************Select EMPOWERgmat Courses now include ALL 6 Official GMAC CATs!***********************

Kudos [?]: 3412 [0], given: 172

Manager
Joined: 24 Oct 2013
Posts: 150

Kudos [?]: 21 [0], given: 127

Location: India
Concentration: General Management, Strategy
WE: Information Technology (Computer Software)
Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

26 Sep 2016, 22:55
let x be 2 and total sum becomes 10
now using maximization and minimization the least values can be 1 and 1 equaling to 2 =>10-2 = 8 (rest of the temp)

substituting x in the options gives the answer B

Kudos [?]: 21 [0], given: 127

BSchool Forum Moderator
Joined: 12 Aug 2015
Posts: 2212

Kudos [?]: 839 [0], given: 595

Re: If the average (arithmetic mean) of 5 positive temperatures [#permalink]

### Show Tags

17 Dec 2016, 21:46
Great Question.
I actually didnt solve it as a maxima minima question
I used brute Force to arrive at his set {x/2,x/2,4x/3,4x/3,4x/3} using Option B.

Quality Official Question

_________________

Give me a hell yeah ...!!!!!

Kudos [?]: 839 [0], given: 595

Re: If the average (arithmetic mean) of 5 positive temperatures   [#permalink] 17 Dec 2016, 21:46
Display posts from previous: Sort by