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 →

Help on permutations problem

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
Legendary Member
Posts: 882
Joined: Fri Feb 20, 2009 2:57 pmFollowed by: 1 member
Thanked: 15 times
GMAT Score:690
by crackgmat007 » Tue Mar 17, 2009 7:17 pm
Please solve this with steps. Thanks.

Of the science books in a certain supply room, 50 are on botany, 65 are on zoology, 90 are on physics. 50 are on geology, and 110 are on chemistry. If science books are removed randomly from the supply room, how many must be removed to ensure that 80 of the books removed are on the same science?
(A) 81
(B) 159
(C) 166
(D) 285
(E) 324

answer is 324
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Legendary Member
Posts: 2467
Joined: Thu Aug 28, 2008 6:14 pmFollowed by: 11 members
Thanked: 331 times

by cramya » Tue Mar 17, 2009 7:53 pm
Process of elimination works best for this.

Consider worst case for these prob types.

50 are on botany, 65 are on zoology50 are on geology

165

still cant guarantee 80 of same type

Rule out 166 since by taking 1 more we cant get there

No we have 90 left phy 110 chemistry i.e 200 left


Look at the next choice i.e. 285

We haev taken 165 already so to get to 285 we need 120 books

Out of 200 we could pick 120 without getting to 80 from one science

60-> chem 60->phy

Dont waste a second choose E
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 260
Joined: Sun Oct 12, 2008 8:10 pm
Thanked: 4 times

by PAB2706 » Wed Mar 18, 2009 1:09 am
this is how i did it...i dnt know if the approach is right or not..but logically i found it ok..and the answer also came right.

50+65+50=165 (similarly as cramya did it)

now 110 chem and 90 phy books left....

again i considered the worst case scenario...

now there is a race for 80 btwn chem and phy books...either ways...i will take a minimum of 159 tries(if i select them alternating.........159 bcos if i start with chem i will reach to 80 mark for chem before selecting the 80th phy book so 160-1 =159)

therefore 165+159=324
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1