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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

29 Mar 2009, 10:59

4

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

95% (hard)

Question Stats:

48% (03:05) correct
52% (01:53) wrong based on 75 sessions

HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Of the students in a certain class, 55% of the female and 35% of the male passed an exam. Did more than half of the students in the class pass the exam?

(1) More than half of the students in the class are female. (2) The number of the female students is 20 more than the number of the male students.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

19 Apr 2009, 11:09

3

This post received KUDOS

1

This post was BOOKMARKED

nitya34 wrote:

Of the students in a certain class, 55% of the female and 35% of the male passed an exam. Did more than half of the students in the class pass the exam?

(1) More than half of the students in the class are female. (2) The number of the female students is 20 more than the number of the male students.

Good Q show your calculations

Lets say total students=100, Female x,then Male=100-x.

As per question 0.55x+0.35(100-x) > 0.5 * 100 solving we get is x>75 ?

St 1. not sufficient as we need to prove number of female > 75 St 2 : if x+y=100 and x-y=20 then solving we get x=60 (number of female). therefore we can say Number of female < 75 and therefore SUFFICIENT.

Clearly, the above statement can be disproved using the fact that \(35% \hspace{5}of\hspace{5} M \geq\hspace{5} 20\), in order for it to be an integer.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

28 Feb 2015, 14:31

1

This post received KUDOS

Expert's post

1

This post was BOOKMARKED

Hi All,

This question can be solved by TESTing VALUES.

The prompt comes with an interesting 'restriction' though. You CANNOT have a fraction of a person (e.g. 2/3 of girl, 1/8 of a boy, etc.), so we have to TEST VALUES that "fit" with the percentages that are given...

We're told that 55% of the females and 35% of the males in a class passed an exam. We're asked if MORE than half passed the exam. This is a YES/NO question.

Since we're dealing with 55% of females and 35% of males, there must be a MULTIPLE of 20 females AND a MULTIPLE of 20 males in the class. NO other possible numbers exist that will "fit" with this data. As an example, you could NOT have 2 females and 3 males, since the percents would then give us "fractions of a person."

Since 55% of 20 = 11 and 35% of 20 = 7, we now also have a "math shortcut" (we can use those multiples to save some time) that we can take advantage of. Knowing that, we can now deal with the two Facts in a more efficient way...

Fact 1: More than half of the students are FEMALE.

This is important; it tells us that we do NOT have an equal number of females and males.

IF....we have... 40 females and 20 males 22 females passed and 7 males passed 29/60 is LESS than half and the answer to the question is NO

IF....we have.... 60 females and 20 males 33 females passed and 7 males passed 40/80 is EXACTLY HALF and the answer to the question is NO

IF....we have.... 80 females and 20 males 44 females passed and 7 males passed 51/100 is MORE than half and the answer to the question is YES. Fact 1 is INSUFFICIENT

Fact 2: The number of females is 20 more than the number of males... The first TEST that we ran in Fact 1 will ALSO "fit" here:

IF....we have... 40 females and 20 males 22 females passed and 7 males passed 29/60 is LESS than half and the answer to the question is NO

IF....we have... 60 females and 40 males 33 females passed and 14 males passed 47/100 is LESS than half and the answer to the question is NO

IF....we have... 80 females and 60 males 44 females passed and 21 males passed 65/140 is LESS than half and the answer to the question is NO

From this work, you might notice how the numerator gets further and further "away" from exactly half. This is a pattern. The answer is ALWAYS NO. Fact 2 is SUFFICIENT

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

29 Mar 2009, 11:38

nitya34 wrote:

Of the students in a certain class, 55% of the female and 35% of the male passed an exam. Did more than half of the students in the class pass the exam?

(1) More than half of the students in the class are female. (2) The number of the female students is 20 more than the number of the male students.

Good Q show your calculations

I'll venture a B.

stmnt1 is clearly not sufic. stmnt2 - plugging in numbers, we can find the answer.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

29 Mar 2009, 11:57

Suppose there are f% of the students are female: 55f/100 + 35(100-f)/100 = 35 + 20f/100 percent of the students passed. Thus we need to know whether f/5 > 15, i.e. whether f > 75

(1) f > 50 not suff (2) only tells us that f > 50 not suff (t) not suff

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

19 Apr 2009, 23:40

Ok I got B as well but did it in a different way. I like Bandit's way better though. None the less, here goes:

1 not sufficient..we all agree.

2: The minimum number of males must be 20 and this is because we need a whole number that can split into the proportions 35% and 65%. I arrived at this by computing the prime factorizing 35, 65 and 100. 35= 5*7; 65= 5*13 and 100 = 2*2*5*5. Thus the 5 of 100 will cancel but the 2*2*5 will not. Thus the number of males must be multiples of 20.

Now I used M=20 and F=40 (because females is simply 20 more)

At this the numbers passed = 29 < 30 We can stop here..we need not calculate for M=40, 60,etc because as the proportion of males increase, since the passing rate is low for males, we are all the more sure that less than half of the students have passed.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

10 Jun 2009, 04:38

E for me.

When statements involve absolute relationship (i.e Stmt2 F-20=M) vs. relative (e.g. F/M=2/5) , you cannot say "lets assume F+M=100".

Let's look at the stem: 0.55F+0.35M>0.5(F+M)?

Simplify: 0.05F>0.15M? or F>3M or F/M>3?

Stmt1: F>M or F/M>1 This is not sufficient to answer the question.

Stmt2: F-20=M This statement does not give a relative value of F to M. It does not matter whether F-1=M or F-100000=M. We need total number of students to be able to use this statement. Hence, it is not sufficient.

Together, still we cannot answer the question. Hence, E.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

10 Jun 2009, 09:50

Expert's post

seofah wrote:

Stmt2: F-20=M This statement does not give a relative value of F to M. It does not matter whether F-1=M or F-100000=M. We need total number of students to be able to use this statement. Hence, it is not sufficient.

We cannot get 55% and 35% for any F and M. This is a trap here. In other words, M cannot be 1 or any number up to 19, because 35% * M will not be an integer value. So, M can be 20 and more. But for M>=20, the total number of students who passed exam will be always less than a half. _________________

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

10 Jun 2009, 23:12

B. Stmt 1 - We agree that it is insuff. Stmt 2 - No. of Boys = X No. of girls = X + 20 So total students = X + X + 20 = (2X + 20) We can assume that the number of students be 100 (it will not make a diff. as X will change accordingly)

So Boys = 40 Girls = 60

%Boys passed = 35% of 40 = 14 %Girls passed = 55% of 60 = 33 Total passed = 47 which is less then 50. Hence suff.

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

31 Jan 2014, 10:54

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Re: Of the students in a certain class, 55% of the female and [#permalink]

Show Tags

28 Feb 2015, 11:48

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email. _________________

Part 2 of the GMAT: How I tackled the GMAT and improved a disappointing score Apologies for the month gap. I went on vacation and had to finish up a...

So the last couple of weeks have seen a flurry of discussion in our MBA class Whatsapp group around Brexit, the referendum and currency exchange. Most of us believed...

This highly influential bestseller was first published over 25 years ago. I had wanted to read this book for a long time and I finally got around to it...