January 26, 2019 January 26, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn how to leverage Meaning and Logic to solve the most challenging Sentence Correction Questions. January 27, 2019 January 27, 2019 07:00 AM PST 09:00 AM PST Attend this webinar to learn a structured approach to solve 700+ Number Properties question in less than 2 minutes.
Author 
Message 
TAGS:

Hide Tags

Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

In a group of 5 students, some study French
[#permalink]
Show Tags
Updated on: 01 Dec 2017, 17:48
Question Stats:
70% (02:14) correct 30% (02:26) wrong based on 31 sessions
HideShow timer Statistics
In a group of 5 students, some study French, some study German, some study both. Two students are selected to be sent for a technical presentation having delegates from France as well as Germany. What could be the probability that lectures given by French as well as German delegates would be understood by the team of two students? A)0.42 B)0.45 C)0.60 D)0.72 E)0.75 Source: Selfmade
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS
Originally posted by gmatbusters on 01 Dec 2017, 08:01.
Last edited by gmatbusters on 01 Dec 2017, 17:48, edited 1 time in total.



Intern
Joined: 24 Nov 2017
Posts: 6

Re: In a group of 5 students, some study French
[#permalink]
Show Tags
01 Dec 2017, 08:32
Isn't more information needed to solve this problem? Specifically either how many speak German or French or both?
Otherwise I'm stumped on how to get the answer.



Retired Moderator
Status: Preparing for GMAT
Joined: 25 Nov 2015
Posts: 988
Location: India
GPA: 3.64

Re: In a group of 5 students, some study French
[#permalink]
Show Tags
01 Dec 2017, 10:01
Janvisahu wrote: In a group of 5 students, some study French, some study German, some study both. Two students are selected to be sent for a technical presentation having delegates from France as well as Germany. Find the probability that lectures given by French as well as German delegates would be understood by the team of two students. A)0.42 B)0.45 C)0.60 D)0.72 E)0.75
Source: Selfmade This can be solved only by backsolving. Since 2 students to be selected who understand both French and German, minimum students who know both languages must be 2 otherwise probability would be zero, which is not in the options. Prob that 2 students know both languages = 1/5 = 0.2 not an option. Consider 3 students know both languages, prob =3/5 = 0.6. Option C Consider 4 students know both languages, prob =4/5 = 0.8, not an option. Hence answer C. However, this is not a GMAT type question.
_________________
Please give kudos, if you like my post
When the going gets tough, the tough gets going...



Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

In a group of 5 students, some study French
[#permalink]
Show Tags
Updated on: 01 Dec 2017, 19:20
Hi souvonik2k, you have answered the question correctly kudos to you. This question is based on a basic logic , I will describe my logic here. We do not know the number of students studying French or how many of them study German, so it is not possible to find the number of favorable events that one of the students is French student, and other is German student. But we can always say for sure that the number of favorable events will be a positive integer. Now the total number of events will be 5C2 = 5!/(3!2!) = 10. Hence required probability = positive integer/ 10 which always gives a single decimal or an integer. So from the options given, only C has a single decimal, other choices have two decimal. Hence, Clearly, C is the answer. This concept will be very useful for the complex probability questions, If we know that denominator is 10, then probability can not have 2 digit decimal answer, or so on. No need to calculate the number of cases which is a very tiresome process for some complex problems. souvonik2k, Bunuel, VeritasPrepKarishma , Now tell me is the question a good one for GMAT? (PS  I saw a concept video for probability by some GMAT prep, which inspires me to make this question.) Please give kudos , if you like my post I believe in learning by doing... I will be posting questions based on the basic concepts, but tricky though souvonik2k wrote: Janvisahu wrote: In a group of 5 students, some study French, some study German, some study both. Two students are selected to be sent for a technical presentation having delegates from France as well as Germany. Find the probability that lectures given by French as well as German delegates would be understood by the team of two students. A)0.42 B)0.45 C)0.60 D)0.72 E)0.75
Source: Selfmade This can be solved only by backsolving. Since 2 students to be selected who understand both French and German, minimum students who know both languages must be 2 otherwise probability would be zero, which is not in the options. Prob that 2 students know both languages = 1/5 = 0.2 not an option. Consider 3 students know both languages, prob =3/5 = 0.6. Option C Consider 4 students know both languages, prob =4/5 = 0.8, not an option. Hence answer C. However, this is not a GMAT type question.
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS
Originally posted by gmatbusters on 01 Dec 2017, 16:49.
Last edited by gmatbusters on 01 Dec 2017, 19:20, edited 2 times in total.



Math Expert
Joined: 02 Aug 2009
Posts: 7213

Re: In a group of 5 students, some study French
[#permalink]
Show Tags
01 Dec 2017, 17:22
Janvisahu wrote: In a group of 5 students, some study French, some study German, some study both. Two students are selected to be sent for a technical presentation having delegates from France as well as Germany. Find the probability that lectures given by French as well as German delegates would be understood by the team of two students. A)0.42 B)0.45 C)0.60 D)0.72 E)0.75
Source: Selfmade Hi... A Question should be solvable, it may be that the choices are helpful at times. But if we are looking at a question that has no solution and is totally dependent on the choices, then the Question has a big question mark '?' on it. When you say " what is the probability...?", It means the question has ONE answer, but in this case there could be different answers
_________________
1) Absolute modulus : http://gmatclub.com/forum/absolutemodulusabetterunderstanding210849.html#p1622372 2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html 3) effects of arithmetic operations : https://gmatclub.com/forum/effectsofarithmeticoperationsonfractions269413.html
GMAT online Tutor



Senior DS Moderator
Joined: 27 Oct 2017
Posts: 1199
Location: India
Concentration: International Business, General Management
GPA: 3.64
WE: Business Development (Energy and Utilities)

In a group of 5 students, some study French
[#permalink]
Show Tags
01 Dec 2017, 17:47
Dear Sir I agree with you, but in many GMAT questions, we get more than one answer and we do mark the options provided by the question. I have edited the question by " what could be the probability " Actually, my purpose of posting the question was to put emphasis on the concept, " This concept will be very useful for the complex probability questions, If we know that denominator is 10, then probability can not have 2 digit decimal answer, or so on. No need to calculate the number of cases which is a very tiresome process for some complex problems."
If you like my post, appreciate it by providing kudos... chetan2u wrote: Janvisahu wrote: In a group of 5 students, some study French, some study German, some study both. Two students are selected to be sent for a technical presentation having delegates from France as well as Germany. Find the probability that lectures given by French as well as German delegates would be understood by the team of two students. A)0.42 B)0.45 C)0.60 D)0.72 E)0.75
Source: Selfmade Hi... A Question should be solvable, it may be that the choices are helpful at times. But if we are looking at a question that has no solution and is totally dependent on the choices, then the Question has a big question mark '?' on it. When you say " what is the probability...?", It means the question has ONE answer, but in this case there could be different answers
_________________
Win GMAT CLUB Test Weekly Quant Quiz Contest Weekly Quant Quiz Questions Direct Download SC: Confusable words All you need for Quant, GMAT PS Question Directory,GMAT DS Question Directory Error log/Key Concepts Combination Concept: Division into groups Question of the Day (QOTD) Free GMAT CATS




In a group of 5 students, some study French &nbs
[#permalink]
01 Dec 2017, 17:47






