Live GMAT classes with Target Test Prep start Nov 21 and Nov 22. First class free.

See classes
Target Test Prep · GMAT

Choose how you want to prepare

Learn live with an expert or move at your own pace. Every option includes the complete TTP study system.

Newsweek Readers’ Choice Awards 2026 winner: Target Test Prep, #1 Test Prep

Target Test Prep was voted #1 Best Test Prep in the 2026 Newsweek Readers’ Choice™ Awards.

★★★★★5.0563 reviews
GMATLiveTeachStarts Nov 22
Josh Braslow, Target Test Prep GMAT expert
LIVE ONLINE CLASSES

Get Ready for GMAT Test Day Faster with Live Online Classes

with Josh Braslow, 20+ years in test prep

Nov 22 · Josh Braslow
Sun · 9:30 AM to 12:30 PM ET
Included
40 hours of live online classes + 6 months of TTP OnDemand
  • Attend the first class for free
  • Every class is recorded, so you never fall behind
View classes & enroll
Limited seats availableTarget Test Prep
EALiveTeachOnDemandStart anytime
EXECUTIVE ASSESSMENT

Target Test Prep EA OnDemand

Self-paced EA prep. Study on your schedule.

EXECUTIVE ASSESSMENT

with

165+ EA score guarantee
$05-day trial no automatic billing
Schedule
Included
40 hours of live online classes plus six months of access to the complete TTP EA OnDemand course.
  • 165+ EA Score Guarantee
  • 4,100+ Quant, Verbal, and Integrated Reasoning practice questions
  • 400+ hours of in-depth video lessons
  • 3,000+ step-by-step video solutions
View EA class & enroll Start free 5-day trial
Limited cohort · enrollment openTrial includes full course accessTarget Test Prep
GMATOnDemandStart anytime
SELF-PACED MASTERCLASS

Target Test Prep GMAT OnDemand

Complete access from day one. Study on your schedule.

715+ score guarantee
$0to start then $127/mo
  • Personalized study plan and analytics
  • Thousands of lessons and practice questions

Scented or Unscented / Round or Square

Expert replies
by kanha81 » Mon Mar 09, 2009 2:00 pm
I am having a tough time putting this problem in perspective in order to determine if it's solvable or not. Grateful, if you can please SHOW the logic in steps on how you solve the problem:

q: Each candle in a particular box is either rounder or square and either scented or unscented. If 60% of the candles are round; what is the probability that a candle selected randomly from the box will be unscented?

i) If a candle is scented, it has an 80% chance of being round
ii) If a candle is square, it has an 25% chance of being scented

Thanks a bunch!
I tried to solve this problem using the table approach; however, got confused while determining the unknowns.
Want to Beat GMAT.
Always do what you're afraid to do. Whoooop GMAT
Join the discussion
Source: — Data Sufficiency |

kanha81 wrote:I am having a tough time putting this problem in perspective in order to determine if it's solvable or not. Grateful, if you can please SHOW the logic in steps on how you solve the problem:

q: Each candle in a particular box is either rounder or square and either scented or unscented. If 60% of the candles are round; what is the probability that a candle selected randomly from the box will be unscented?

i) If a candle is scented, it has an 80% chance of being round
ii) If a candle is square, it has an 25% chance of being scented

Thanks a bunch!
I tried to solve this problem using the table approach; however, got confused while determining the unknowns.
I find it helps to show this visually.


Image
Brent Hanneson - Creator of GMATPrepNow.com
Image
Join the discussion

Re: Scented or Unscented / Round or Square

by rseeker2 » Mon Mar 09, 2009 9:28 pm
My take.. C

I did it this way...

Let 'a' be the number of round,scented candles
Let 'b' be the number of round,unscented candles
Let 'c' be the number of square,unscented candles
Let 'd' be the number of square,scented candles


Required -- the probability that a candle selected randomly from the box will be unscented i.e., b+c/a+b+c+d

Given -- 60% of the candles are round --> a+b/a+b+c+d = 60/100
which leads to 2(a+b) = 3(c+d) ------------- (i)

----------------------------------------------------------------------------

1) If a candle is scented, it has an 80% chance of being round

--> a/a+d = 80/100 --> a = 4d ------------ (ii)

Using (i) and (ii), b+c/a+b+c+d reduces to c-d/c+d, which cannot be determined

Hence, (1) alone is not sufficient


2) If a candle is square, it has a 25% chance of being scented

--> d/c+d = 25/100 --> c = 3d -------------- (iii)

Using (i) and (iii), b+c/a+b+c+d reduces to b+3d/10d, which cannot be determined

Hence, (2) alone is not sufficient


Combining both, if (iii) is used in c-d/c+d(arrived at using (i) and (ii)), we get 3d-d/3d+d = 1/2

Hence, both the statements together are needed to arrive at the answer
Join the discussion