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

It is currently 19 Sep 2019, 16:19

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

The sum of 5 different positive 2-digit integers is 130. What is the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 58117
The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 22 Jan 2015, 08:01
2
5
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

81% (01:16) correct 19% (01:29) wrong based on 167 sessions

HideShow timer Statistics

Manager
Manager
User avatar
G
Joined: 13 Oct 2013
Posts: 135
Concentration: Strategy, Entrepreneurship
GMAT ToolKit User
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 22 Jan 2015, 11:55
1
sum of 5 different 2 digit integers=130

to find out the largest number, we need to make other 4 numbers to the smallest as possible.
smallest 2 digit number is 10
=>10+11+12+13+n=130
=>n=130-46=84

Answer is B

_________________
---------------------------------------------------------------------------------------------
Kindly press +1 Kudos if my post helped you in any way :)
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1772
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 28 Jan 2015, 01:03
1
Answer = B. 84

Highest number = 130 - (Addition of all 4 smallest numbers)

= 130 - (10+11+12+13)

= 130 - 46 = 84
_________________
Kindly press "+1 Kudos" to appreciate :)
Target Test Prep Representative
User avatar
D
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 7755
Location: United States (CA)
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 10 Jun 2019, 19:29
1
Bunuel wrote:
The sum of 5 different positive 2-digit integers is 130. What is the highest possible value of the largest of these integers?

A. 88
B. 84
C. 78
D. 74
E. 68

Kudos for a correct solution.


Since we want to maximize the largest integer, we must minimize the four smallest integers. The smallest 2-digit integers are 10, 11, 12, and 13,which have a sum of 46. Thus, the largest integer would be 130 - 46 = 84.

Answer: B
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
TTP - Target Test Prep Logo
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.

Intern
Intern
avatar
Joined: 21 Sep 2013
Posts: 27
Location: United States
Concentration: Finance, General Management
GMAT Date: 10-25-2013
GPA: 3
WE: Operations (Mutual Funds and Brokerage)
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 22 Jan 2015, 08:27
3
Bunuel wrote:
The sum of 5 different positive 2-digit integers is 130. What is the highest possible value of the largest of these integers?

A. 88
B. 84
C. 78
D. 74
E. 68

Kudos for a correct solution.


First of all we know that all five nos. are positive and 2digit nos. so the smallest digit will be 10.
since we need to maximize the largest no. we will minimize the other nos. as much as possible.
but these nos. need to be distinct therefore
10+11+12+13+84=130
Intern
Intern
avatar
Joined: 18 Feb 2013
Posts: 29
GMAT 1: 710 Q49 V38
Reviews Badge
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 22 Jan 2015, 14:33
We need the other 4 numbers to be different and smallest possible.

10, 11, 12, 13 + x =130
x=84

Answer B.
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3353
Location: India
GPA: 3.12
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 30 Jul 2017, 00:13
Let the 5 different positive integers be a,b,c,d and e.
a+b+c+d+e = 130

It has been said that these numbers are all different and also 2-digit integers.
The smallest 2 digit integer is 10.
The other smallest integers are 11,12,13. The sum of the smallest 4 integers are 46.

The last integer is 120 - 46 = 84(Option B)
_________________
You've got what it takes, but it will take everything you've got
CEO
CEO
User avatar
V
Joined: 12 Sep 2015
Posts: 3962
Location: Canada
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 22 Sep 2017, 14:33
Top Contributor
Bunuel wrote:
The sum of 5 different positive 2-digit integers is 130. What is the highest possible value of the largest of these integers?

A. 88
B. 84
C. 78
D. 74
E. 68

Kudos for a correct solution.


Since the 5 numbers are all different, let's let A, B, C, D and E represent the numbers.
Furthermore, let's say A < B < C , D < E, which means E is the biggest value.

We're told that A + B + C + D + E = 130
In order to MAXIMIZE the value of E, we must MINIMIZE the other 4 values.
In other words, we want to MINIMIZE the value of A + B + C + D
Since the numbers must be 2-digit integers, the smallest values for A, B, C and D are 10, 11, 12 and 13 respectively.

So, plugging those values into our equation, we get: 10 + 11 + 12 + 13 + E = 130
Simplify: 46 + E = 130
E = 84

Answer:

Cheers,
Brent
_________________
Test confidently with gmatprepnow.com
Image
EMPOWERgmat Instructor
User avatar
V
Status: GMAT Assassin/Co-Founder
Affiliations: EMPOWERgmat
Joined: 19 Dec 2014
Posts: 15026
Location: United States (CA)
GMAT 1: 800 Q51 V49
GRE 1: Q170 V170
Re: The sum of 5 different positive 2-digit integers is 130. What is the  [#permalink]

Show Tags

New post 02 Mar 2018, 11:36
Hi All,

This is an example of a "limit" question (a prompt that asks you to solve for the "lowest" or "highest" possible value) and Brent's solution is perfect (it's exactly how I would approach this question). Sometimes Quant questions are more about "playing" with a series of restrictions and saying "what if…?" than doing lots of algebra.

There is an algebra approach to this prompt, but it still involves aspects of what Brent showed in his approach (TESTing VALUES, minimizing values so you can maximize one of them):

Since we're dealing with 5 DIFFERENT positive 2-digit integers, to maximize 1 of them, we have to minimize all of the others.

I'll call the smallest 2-digit integer….X
So the next 3 smallest would be….(X+1), (X+2) and (X+3)

Those 4 values sum to 4X + 6

Since the sum of all 5 terms = 130, the 5th value (the biggest one) is….130 - (4X+6)

If you make X the smallest positive 2-digit number possible, you'd have X=10. Plug THAT value into the calculation and you get…

130 - (40+6) = 84

Final Answer:

While I would NOT recommend approaching the question in this way (since it requires so much more work and time), it does get you to the correct answer.

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

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

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/
GMAT Club Bot
Re: The sum of 5 different positive 2-digit integers is 130. What is the   [#permalink] 02 Mar 2018, 11:36
Display posts from previous: Sort by

The sum of 5 different positive 2-digit integers is 130. What is the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne