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 →

Probability that number is neither even nor multiple of 3

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
Legendary Member
Posts: 682
Joined: Fri Jan 16, 2009 2:40 amFollowed by: 1 member
Thanked: 32 times
by Vemuri » Sun Mar 22, 2009 2:32 am
The integers from 1 to 100 inclusive are each written on a single slip of paper and dropped into a jar. If one slip of paper is removed at random, approximately what is the probability that the number on it is neither even nor a multiple of 3?

A. 83%
B. 67%
C. 50%
D. 33%
E. 17%
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |
Senior | Next Rank: 100 Posts
Posts: 37
Joined: Sun Mar 01, 2009 12:34 am
Location: Alpharetta, GA

IMO D

by Dream Weaver » Sun Mar 22, 2009 2:46 am
IMO D (33%)

My approach could be wrong, so please specify the OA. But, here's how I conclude :

Probability of finding an even number is 50/100
Probability of finding a multiple of 3 is 33/100
Probability of finding an even number which is also a multiple of 3 is 16/100

So, I arrive to the probability of finding a even number or a multiple of 3 to be 50/100 + 33/100 - 16/100 = 67/100

What we need is opposite of this : 1- 67/100 = 33/100

Please specify the OA. Thanks !!
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
User avatar
Legendary Member
Posts: 682
Joined: Fri Jan 16, 2009 2:40 amFollowed by: 1 member
Thanked: 32 times

Re: IMO D

by Vemuri » Sun Mar 22, 2009 3:06 am
Hi Dream Weaver,

Your approach & answer are both correct :wink:
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Senior | Next Rank: 100 Posts
Posts: 37
Joined: Sun Mar 01, 2009 12:34 am
Location: Alpharetta, GA

Thanks Vemuri

by Dream Weaver » Sun Mar 22, 2009 3:10 am
:D
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Master | Next Rank: 500 Posts
Posts: 113
Joined: Thu Feb 26, 2009 8:13 am
Location: New Jersey
GMAT Score:650

Re: IMO D

by KICKGMATASS123 » Mon Mar 23, 2009 12:40 pm
How do u find an even number that is also a multiple of 3 number?

Is there an approach to this?

Thanks in advance
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Mon Mar 23, 2009 8:05 pm
Location: Philadelphia, PA
GMAT Score:610

by RBurroughs » Mon Mar 23, 2009 9:57 pm
I did this pretty quick in my head.

1/3 are multiples of 3, and 1/2 are even[ (3) odd, (6) even, 9 (odd)...]

so keeping true 1/2 are odd/even, 1/2 of the 66 left are odd, or 33%
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Junior | Next Rank: 30 Posts
Posts: 10
Joined: Mon Mar 23, 2009 8:05 pm
Location: Philadelphia, PA
GMAT Score:610

Re: IMO D

by RBurroughs » Mon Mar 23, 2009 9:58 pm
KICKGMATASS123 wrote:How do u find an even number that is also a multiple of 3 number?

Is there an approach to this?

Thanks in advance
1/3 are multiples of 3, 1/2 of these are even.

1/3*1/2 = 1/6
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1