BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

Sum to 75

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 941
Joined: Sun Dec 27, 2009 12:28 amFollowed by: 1 member
Thanked: 20 times
by bhumika.k.shah » Mon Feb 01, 2010 9:42 pm
How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Mon Feb 01, 2010 10:50 pm
bhumika.k.shah wrote:How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
repeat post is regretted
Last edited by sanju09 on Mon Feb 01, 2010 10:56 pm, edited 1 time in total.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Mon Feb 01, 2010 10:51 pm
sanju09 wrote:
bhumika.k.shah wrote:How many different sets of positive square integers, each greater than 1, add up to 75?

(A) 4
(B) 7
(C) 10
(D) 12
(E) 13

how to start solving this sum ? is there some formula that i am unaware of ??

OA E
Miss 1, take 4, 9, 16, 25, 36, 49, 64 in to account only, and then delete 64 from the list, for no combination from the remaining 6 square integers may add up to 11. Carry on deleting; now 49, for no combination from the remaining 5 square integers may add up to 26; then 36, for no combination from the remaining 4 square integers may add up to 39 and finally forget 25 going to combine with the three little champs 4, 9, and 16 to give us a total of 75. Fusssss...

When we consider a set, we mean no repetition in elements, if by any chance, this question is allowing us to consider repetition in elements too, then a shot can be tried, but, order first!!
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 1404
Joined: Tue May 20, 2008 6:55 pmFollowed by: 2 members
Thanked: 18 times

by tanviet » Mon Feb 01, 2010 11:27 pm
this is from GMATPREP

but your writing is wrong

"how many different intergers", not " different set of intergers"

"how many different integers, sum of square of which is 75
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760

by sanju09 » Mon Feb 01, 2010 11:45 pm
duongthang wrote:
"how many different integers, sum of square of which is 75
ok so they mean, any integer, "each greater than 1" is not the case really. Is it so, duongthang?
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 941
Joined: Sun Dec 27, 2009 12:28 amFollowed by: 1 member
Thanked: 20 times

by bhumika.k.shah » Mon Feb 01, 2010 11:47 pm
probably.not quite sure.came across it somewhere.thought of posting it.to know different approaches.
duongthang wrote:this is from GMATPREP

but your writing is wrong

"how many different intergers", not " different set of intergers"

"how many different integers, sum of square of which is 75
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 1275
Joined: Thu Sep 21, 2006 11:13 pmFollowed by: 2 members
Location: Arabian Sea
Thanked: 125 times

by ajith » Tue Feb 02, 2010 12:06 am
I see only way to solve this is to mix and match and that is very boring since I can at least 10 options and there is a chance that I overlook some possibilities.
Always borrow money from a pessimist, he doesn't expect to be paid back.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1