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 →

Lengthy Question

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 626
Joined: Fri Dec 23, 2011 2:50 amFollowed by: 10 members
Location: Ahmedabad
Thanked: 31 times
by ronnie1985 » Wed Apr 18, 2012 6:09 am
Got the question from web forum. Can you tell me the shortest method to solve? Also can we expect such lengthy questions in GMAT?
Thanks in advance.
Attachments
Capture.JPG
Follow your passion, Success as perceived by others shall follow you
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
User avatar
Master | Next Rank: 500 Posts
Posts: 385
Joined: Mon Apr 16, 2012 8:40 amFollowed by: 29 members
Location: Pune, India
Thanked: 186 times

by aneesh.kg » Wed Apr 18, 2012 6:59 am
from the inequality,
3 =< n =< 8

y = (n4 + 4n3 + 64n + 56)/ (n + 4)^2
= (n4 - 32n2 + 56)/(n+4)^2 + 4n
= [(n2 + 8n + 16)(n2 - 8n + 32) - 456]/(n+4)2 + 4n
= (n2 - 4n + 32) - 456/(n+4)2
Substituting n = 3,
y = 29 - 9 (approx)
= 20
Substituting n = 8,
y = 64 - 3 (approx)
= 61

So, I am getting y approximately between 20 and 61.

I am interested to know a better way to solve this; and I don't think you should expect such a question in GMAT.
Aneesh Bangia
GMAT Math Coach
[email protected]

GMATPad:
Facebook Page: https://www.facebook.com/GMATPad
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Thu Apr 19, 2012 8:36 am

by Cheerios » Thu Apr 19, 2012 1:21 pm
The question is wrong, unless n4 doesn't mean n^4. Try n=3:

y=[81+56+12(16+9)]/[9+24+16]
=[137+300]/[49]
=437/49 -> approx. 9
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1