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. 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.
Author 
Message 
TAGS:

Hide Tags

Senior Manager
Status: Finally Done. Admitted in Kellogg for 2015 intake
Joined: 25 Jun 2011
Posts: 475
Location: United Kingdom
Concentration: International Business, Strategy
GPA: 2.9
WE: Information Technology (Consulting)

The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
Updated on: 27 Aug 2014, 05:30
Question Stats:
33% (01:28) correct 67% (01:25) wrong based on 757 sessions
HideShow timer Statistics
The GMAT is scored on a scale of 200 to 800 in 10 point increments. (Thus 410 and 760 are real GMAT scores but 412 and 765 are not). A firstyear class at a certain business school consists of 478 students. Did any students of the same gender in the firstyear class who were born in the samenamed month have the same GMAT score? (1) The range of GMAT scores in the firstyear class is 600 to 780. (2) 60% of the students in the firstyear class are male. Can someone please let me know how to solve this? I tried it this way: Considering Statement 1
Range of scores will be 600, 610, 620.........770, 780 and there are 12 months in a year so 12 distinct possibilities for a birth month of a student. I struggled from here to solve.
Considering Statement 2 > Is clearly insufficient as range for GMAT scores is not provided.
Official Answer and Stats are available only to registered users. Register/ Login.
_________________
Best Regards, E.
MGMAT 1 > 530 MGMAT 2> 640 MGMAT 3 > 610 GMAT ==> 730
Originally posted by enigma123 on 22 Nov 2011, 15:40.
Last edited by Bunuel on 27 Aug 2014, 05:30, edited 1 time in total.
Renamed the topic, edited the question and added the OA.




GMAT Tutor
Joined: 24 Jun 2008
Posts: 1325

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
23 Nov 2011, 07:28
enigma123 wrote: The GMAT is scored on a scale of 200 to 800 in 10 point increments. (Thus 410 and 760 are real GMAT scores but 412 and 765 are not). A firstyear class at a certain business school consists of 478 students. Did any students of the same gender in the firstyear class who were born in the samenamed month have the same GMAT score? (1) The range of GMAT scores in the firstyear class is 600 to 780. (2) 60% of the students in the firstyear class are male. Bowtie's solution above is perfect, but I'll go into a bit more detail in case it's unclear: This question (and another I responded to yesterday) is based on something called the 'pigeonhole principle'. That principle is usually explained as follows: if a postal worker has 4 envelopes which she will place in 3 pigeonholes, then it must be true that (at least) 2 envelopes will end up in the same pigeonhole, since even if the first 3 envelopes go into different pigeonholes, the 4th will need to go in a pigeonhole already containing an envelope. Changing the numbers to mimic the question above, say you have 20 people who take a test consisting of 19 questions. Then it must be true that two people answered the same number of questions correctly, since even if the first 19 people all had a different number of correct answers, that uses up all of the possibilities from 1 to 19, so the last person would need to have answered the same number of questions correctly as one of the first nineteen people. We have a similar situation here. From Statement 1, there are only 19 possible GMAT scores in the class. So if we know we have 20 students of the same gender who were born in the same month, we could then be sure that (at least) two of them must have the same GMAT score. We have 478 students in total. At least half of these, or 239 students, must be of the same gender (you couldn't have less than 239 men *and* less than 239 women in the class). Further, it is impossible that there are only 19 students of the same gender born in *every* month of the year (since then you'd only have at most 12*19 = 228 students of that gender), so we must have at least 20 students of the same gender born in the same month. So two of these students must have the same GMAT score, and the answer is A.
_________________
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




Verbal Forum Moderator
Status: Greatness begins beyond your comfort zone
Joined: 08 Dec 2013
Posts: 2125
Location: India
Concentration: General Management, Strategy
GPA: 3.2
WE: Information Technology (Consulting)

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
24 Oct 2015, 05:23
Total number of students in class = 478 Possible genders = 2 Total possible scores = 61 Number of months = 12 1. Score range = 600  780 Therefore , we have 19 possible scores Number of combinations =19 *2 * 12 = 456 Since 456< 478 . We will have atleast one repeat of the same gender and birth month. Sufficient. 2. Number of male = 60 % of 478= 286.8 Not sufficient. Answer A
_________________
When everything seems to be going against you, remember that the airplane takes off against the wind, not with it.  Henry Ford The Moment You Think About Giving Up, Think Of The Reason Why You Held On So Long +1 Kudos if you find this post helpful




Manager
Joined: 08 Sep 2011
Posts: 59
Concentration: Finance, Strategy

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
23 Nov 2011, 07:15
I got A. so you have 478 students born in 12 different months. so each month has an average of 39.8 kids in them and there is a possiblity of 19 scores. Since 39>19*2 you know that some cases 3 students had the same score in the same month. Since there are 3 students obviously 2 or more had to be the same gender. So the answer should be A.
Now if the question asked specficially if the scores were for a male or female A would not work, or if it was in a given month. But because it asked if any month at all, we can use the average of 39.8 to answer the question.
Hoped this helped



Manager
Joined: 19 Nov 2014
Posts: 70
Location: India
Concentration: Technology, General Management
WE: Information Technology (Computer Software)

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
20 Oct 2015, 05:36
I have always got this question wrong but after a long thinking i finally deduced how to go about these types of questions : IN A  we have 19 ranges  from 600 to 780 ; total months are 12  Jan dec ; lets start putting the students in one group so that they dont fall in same gender same score same month born category score 600  12 males  12 different born months  Naming individuals as 600JanM , 600 FEBM , 600marM and so on we get 12 different males with different score and born month similarly for females score 600  12 females  12 different born months Naming individuals as 600JanF , 600 FEBF , 600marF and so on we get 12 different females with different score and born month doing these for each score we get 24 people ( males and females ) for each score with different gender, score and born month total til now 24 *19 scores = 456 we are still left with 22 more students and we have to adjust them in one of the either months/scores ; So ANswer is A Hope i was able to explain ; if i am wrong in my approach pls pls correct me
_________________
KUDOS pls if you like My Post



Intern
Joined: 18 May 2016
Posts: 29

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
20 Dec 2016, 11:41
To build on Skywalker18 answer.
Total number of students in class = 478. We need to see if we can fit them all in a case by themselves Possible genders = 2 Total possible scores = 61 Number of months = 12 Without statements, there are 61*12*2 cases that can be filled. Indeed there are 61*12 different combination of scores and months. Since these combinations can be repeated if the gender differs, and there is a max amount of choice when there are 1/2 female, 1/2 male, we can put two individual on each cases, if they are man and female. Thus we can multiply 61*12.
1. Score range = 600  780 Therefore , we have 19 possible scores Number of combinations =19 *2 * 12 = 456 Since 456< 478 . We will have atleast one repeat of the same gender and birth month.
Sufficient.
2. Number of male = 60 % of 478= 286.8
Not sufficient. Answer A



Current Student
Joined: 12 Aug 2015
Posts: 2629

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
20 Dec 2016, 14:02
Great Question. Here is what i did i this one => Number of students =478
Statement 1>
Number of cases = 19*2*12=456 Hence there must be a repletion. Hence sufficient => YES
Statement 2> No clue of GMAT scores. Hence Not sufficient
Hence A
_________________
MBA Financing: INDIAN PUBLIC BANKS vs PRODIGY FINANCE! Getting into HOLLYWOOD with an MBA! The MOST AFFORDABLE MBA programs!STONECOLD's BRUTAL Mock Tests for GMATQuant(700+)AVERAGE GRE Scores At The Top Business Schools!



Intern
Joined: 31 May 2017
Posts: 2

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
10 Jul 2017, 03:03
IanStewart wrote: enigma123 wrote: The GMAT is scored on a scale of 200 to 800 in 10 point increments. (Thus 410 and 760 are real GMAT scores but 412 and 765 are not). A firstyear class at a certain business school consists of 478 students. Did any students of the same gender in the firstyear class who were born in the samenamed month have the same GMAT score? (1) The range of GMAT scores in the firstyear class is 600 to 780. (2) 60% of the students in the firstyear class are male. Bowtie's solution above is perfect, but I'll go into a bit more detail in case it's unclear: This question (and another I responded to yesterday) is based on something called the 'pigeonhole principle'. That principle is usually explained as follows: if a postal worker has 4 envelopes which she will place in 3 pigeonholes, then it must be true that (at least) 2 envelopes will end up in the same pigeonhole, since even if the first 3 envelopes go into different pigeonholes, the 4th will need to go in a pigeonhole already containing an envelope. Changing the numbers to mimic the question above, say you have 20 people who take a test consisting of 19 questions. Then it must be true that two people answered the same number of questions correctly, since even if the first 19 people all had a different number of correct answers, that uses up all of the possibilities from 1 to 19, so the last person would need to have answered the same number of questions correctly as one of the first nineteen people. We have a similar situation here. From Statement 1, there are only 19 possible GMAT scores in the class. So if we know we have 20 students of the same gender who were born in the same month, we could then be sure that (at least) two of them must have the same GMAT score. We have 478 students in total. At least half of these, or 239 students, must be of the same gender (you couldn't have less than 239 men *and* less than 239 women in the class). Further, it is impossible that there are only 19 students of the same gender born in *every* month of the year (since then you'd only have at most 12*19 = 228 students of that gender), so we must have at least 20 students of the same gender born in the same month. So two of these students must have the same GMAT score, and the answer is A. How do we know the no.of men or women? The question doesn't give us any info about the number.



Intern
Joined: 01 Mar 2017
Posts: 14

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
25 Jun 2018, 09:19
That is such a good question. Could anyone please share the link to more questions using the same logic? Thanks!
Posted from my mobile device



Manager
Joined: 07 Feb 2017
Posts: 188

The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
25 Jun 2018, 10:46
2 Possible Genders 12 Possible Birth Months 19 Possible Scores
Max 2 * 12 * 19 = 456 unique genderbirth monthscore Combinations Since 478 students, some must have same genderbirth monthscore At least 22 students have same genderbirth monthscore
A is sufficient



Intern
Joined: 30 Jun 2018
Posts: 2

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
05 Aug 2018, 09:12
What if the whole class consists of only males?



Manager
Status: sleeping
Joined: 20 Jul 2018
Posts: 52
Location: United States (NY)

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
05 Aug 2018, 09:27
enigma123 wrote: The GMAT is scored on a scale of 200 to 800 in 10 point increments. (Thus 410 and 760 are real GMAT scores but 412 and 765 are not). A firstyear class at a certain business school consists of 478 students. Did any students of the same gender in the firstyear class who were born in the samenamed month have the same GMAT score? (1) The range of GMAT scores in the firstyear class is 600 to 780. (2) 60% of the students in the firstyear class are male. Can someone please let me know how to solve this? I tried it this way: Considering Statement 1
Range of scores will be 600, 610, 620.........770, 780 and there are 12 months in a year so 12 distinct possibilities for a birth month of a student. I struggled from here to solve.
Considering Statement 2 > Is clearly insufficient as range for GMAT scores is not provided. this is an interesting question. did you make this question yourself, or was it made by a nonGMAC related provider? I've never seen a question which is self referencing
_________________
NYC based Verbal and Writing tutor; taking clients pro bono atm



Manager
Joined: 02 Aug 2017
Posts: 61
Concentration: Strategy, Nonprofit
GPA: 3.71

The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
27 Aug 2018, 18:27
Total possible outcomes = 2*61*12 (2 possible genders, 61 possible score increments (from 200 to 800), and 12 months). We need to reduce this number of possible outcomes to less than the number of students because then we'll definitely have a repeat. Consider 1): between 600 and 780, there are 19 possible scores. Total possible outcomes=2*19*12=456 which is less than 478, the number of students,hence we are sure to see at least one repeat. : SUFFICIENTConsider 2): 60% male Total possible outcome = 2*61*12 remains the same, hence it does nothing to reduce outcomes : Not SUFFICIENTHence, answer is A
_________________
Everything is in flux, nothing stays still
MGMAT1 :590 Q42 V30 (07/07/18) VERITAS :660 Q48 V33 (16/07/18) GMATPREP1 :690 Q46 V36 (22/07/18) GMATPREP2 :740 Q51 V39 (06/08/18) ECONOMIST :740 Q49 V44 (11/08/18) KAPLAN :690 Q49 V36 (17/08/18) PRINCETON :690 Q48 V38 (26/08/18) MGMAT2 :720 Q43 V45 (02/09/18)



Senior Manager
Joined: 29 Dec 2017
Posts: 385
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37
GPA: 3.25
WE: Marketing (Telecommunications)

The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
18 Sep 2018, 07:56
Nishika wrote: What if the whole class consists of only males? Then you can spread max 12 people for one score. In range 600 to 780 you have total 19 scores (600, 610,620...,770,780) So you are able to uniquely distribute only 12*19=228 students of 478. Any 229th student and so on will take one of already taken possitions. Your constraints even limit possible options (worsen the case)



Senior Manager
Joined: 04 Jun 2018
Posts: 358
Location: Germany
Concentration: General Management, Finance
GPA: 3.6
WE: Analyst (Transportation)

Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr
[#permalink]
Show Tags
27 Sep 2018, 12:26
Really intersting type of question. At first it appeared like we were missing several important bits of information to solve the question, but the more time one spend reasoning, the more the picture cleared up. The seemed almost like a small riddle.
_________________
A couple of things that helped me in verbal: https://gmatclub.com/forum/verbalstrategies268700.html#p2082192
Gmat Prep CAT #1: V42, Q34, 630 Gmat Prep CAT #2: V46, Q35, 660 Gmat Prep CAT #3: V41, Q42, 680
On the mission to improve my quant score, all help is appreciated!




Re: The GMAT is scored on a scale of 200 to 800 in 10 point incr &nbs
[#permalink]
27 Sep 2018, 12:26






