GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 11 Dec 2018, 21:34

Close

GMAT Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Events & Promotions in December
PrevNext
SuMoTuWeThFrSa
2526272829301
2345678
9101112131415
16171819202122
23242526272829
303112345
Open Detailed Calendar
  • Free GMAT Prep Hour

     December 11, 2018

     December 11, 2018

     09:00 PM EST

     10:00 PM EST

    Strategies and techniques for approaching featured GMAT topics. December 11 at 9 PM EST.
  • The winning strategy for 700+ on the GMAT

     December 13, 2018

     December 13, 2018

     08:00 AM PST

     09:00 AM PST

    What people who reach the high 700's do differently? We're going to share insights, tips and strategies from data we collected on over 50,000 students who used examPAL.

The odds against ram solving the problem are 4 to 3 and the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Senior Manager
Senior Manager
avatar
Joined: 28 Jul 2011
Posts: 358
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
The odds against ram solving the problem are 4 to 3 and the  [#permalink]

Show Tags

New post 02 May 2012, 06:52
8
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

35% (01:45) correct 65% (01:38) wrong based on 90 sessions

HideShow timer Statistics

The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

A. 1/4
B. 5/21
C. 16/21
D. 23/28
E. None

_________________

+1 Kudos If found helpful..

Most Helpful Expert Reply
Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8659
Location: Pune, India
Re: Probability  [#permalink]

Show Tags

New post 02 May 2012, 08:09
6
2
kotela wrote:
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4
2. 5/21
3.16/21
4.23/28
5.None


Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.
Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21
_________________

[b]Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

General Discussion
Senior Manager
Senior Manager
avatar
Joined: 28 Jul 2011
Posts: 358
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: Probability  [#permalink]

Show Tags

New post 02 May 2012, 22:47
VeritasPrepKarishma wrote:
kotela wrote:
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4
2. 5/21
3.16/21
4.23/28
5.None


Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.
Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21


Hi,

What is the chance that it will be solved when they both try?

I thought that the problem is solved only when they both try together as the questions says the same, but can we take even either Ram or Krishna solves the problem?

Thanks in advance
_________________

+1 Kudos If found helpful..

Veritas Prep GMAT Instructor
User avatar
P
Joined: 16 Oct 2010
Posts: 8659
Location: Pune, India
Re: Probability  [#permalink]

Show Tags

New post 03 May 2012, 08:07
kotela wrote:
VeritasPrepKarishma wrote:
kotela wrote:
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4
2. 5/21
3.16/21
4.23/28
5.None


Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.
Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21


Hi,

What is the chance that it will be solved when they both try?

I thought that the problem is solved only when they both try together as the questions says the same, but can we take even either Ram or Krishna solves the problem?

Thanks in advance


'They both try' means that they both try independently. It doesn't mean that they both are working together on the problem.
The intent of the problem is quite clear: The probability of A succeeding is 'a'; the probability of B succeeding is 'b'. What is the probability that at least one of them succeeds?
_________________

[b]Karishma
Veritas Prep GMAT Instructor

Learn more about how Veritas Prep can help you achieve a great GMAT score by checking out their GMAT Prep Options >

Senior Manager
Senior Manager
avatar
Joined: 28 Jul 2011
Posts: 358
Location: United States
Concentration: International Business, General Management
GPA: 3.86
WE: Accounting (Commercial Banking)
Re: The odds against ram solving the problem are 4 to 3 and the  [#permalink]

Show Tags

New post 04 May 2012, 01:48
Thanks for making it clear
_________________

+1 Kudos If found helpful..

Intern
Intern
avatar
B
Joined: 22 Oct 2016
Posts: 22
Re: The odds against ram solving the problem are 4 to 3 and the  [#permalink]

Show Tags

New post 22 Jul 2017, 05:36
VeritasPrepKarishma wrote:
kotela wrote:
The odds against ram solving the problem are 4 to 3 and the odds in favour of krishna solving the same are 7 to 5. What is the chance that it will be solved when they both try?

1. 1/4
2. 5/21
3.16/21
4.23/28
5.None


Odds against Ram are 4:3 so probability that he will solve the problem is 3/7.
Odds in favor of Krishna are 7:5 so probability that he will solve it is 7/12

It will be solved means that either Ram or Krishna or both will be able to solve it.

P(A or B) = P(A) + P(B) - P(A and B) = 3/7 + 7/12 - (3/7)*(7/12) = 16/21


Hi Karishma,

How did you assume, 3 is the failure rate of Ram and 7 is success rate of Krishna.

_________________

Regards,
Sarugiri

GMAT Tutor
avatar
S
Joined: 24 Jun 2008
Posts: 1325
Re: The odds against ram solving the problem are 4 to 3 and the  [#permalink]

Show Tags

New post 22 Jul 2017, 06:53
1
I don't think I've ever seen "odds" mentioned in a real GMAT question, so this probably isn't important to know, but odds are just a ratio of good outcomes to bad outcomes (and 'odds against' are the ratio of bad to good). So if the odds in favour of something happening are 3 to 1, then for every 3 times it happens, there is 1 time it does not happen, and the probability it happens is thus 3/4.

If the odds against Ram solving are 4 to 3, then 4/7 of the time Ram will not solve the problem. If the odds in favour of Krishna solving are 7 to 5, then 5/12 of the time Krishna will not solve the problem. If they both attempt the problem independently, they will both not solve the problem (4/7)(5/12) = 5/21 of the time. The rest of the time, or 1 - 5/21 = 16/21 of the time, at least one of them will solve it.
_________________

GMAT Tutor in Toronto

If you are looking for online GMAT math tutoring, or if you are interested in buying my advanced Quant books and problem sets, please contact me at ianstewartgmat at gmail.com

Intern
Intern
avatar
B
Joined: 27 Oct 2014
Posts: 29
Premium Member
Re: The odds against ram solving the problem are 4 to 3 and the  [#permalink]

Show Tags

New post 28 Jul 2018, 20:49
The chance that one of them will solve it = 1 - (odds that neither will solve it)
The chance that neither will solve it = odds that Krishna won't solve it * the odds that Ram won't solve it
Odds that Ram won't solve it = 4/7
Odds that Krishna won't solve it = 5/12
Odds that neither will solve it is 4/7*5/12 = 20/84
Odds that one of them will solve it is 1-20/84 = 64/84
Simplified, answer is (C)
GMAT Club Bot
Re: The odds against ram solving the problem are 4 to 3 and the &nbs [#permalink] 28 Jul 2018, 20:49
Display posts from previous: Sort by

The odds against ram solving the problem are 4 to 3 and the

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  


Copyright

GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.