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

It is currently 15 Dec 2018, 19:38

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
  • $450 Tuition Credit & Official CAT Packs FREE

     December 15, 2018

     December 15, 2018

     10:00 PM PST

     11:00 PM PST

    Get the complete Official GMAT Exam Pack collection worth $100 with the 3 Month Pack ($299)
  • FREE Quant Workshop by e-GMAT!

     December 16, 2018

     December 16, 2018

     07:00 AM PST

     09:00 AM PST

    Get personalized insights on how to achieve your Target Quant Score.

A shelf contains hardcover and paperback books, of either fiction or n

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

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
A shelf contains hardcover and paperback books, of either fiction or n  [#permalink]

Show Tags

New post 16 Feb 2015, 05:45
1
8
00:00
A
B
C
D
E

Difficulty:

  95% (hard)

Question Stats:

53% (02:07) correct 47% (02:44) wrong based on 229 sessions

HideShow timer Statistics

A shelf contains hardcover and paperback books, of either fiction or nonfiction. How many books are on the shelf?

(1) 2/3 of the books are fiction and 1/4 of the books are hardcover
(2) Fewer than 30 books are paperback and more than 10 are nonfiction


Kudos for a correct solution.

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
Joined: 23 Jan 2013
Posts: 141
Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
WE: Information Technology (Computer Software)
GMAT ToolKit User
Re: A shelf contains hardcover and paperback books, of either fiction or n  [#permalink]

Show Tags

New post 16 Feb 2015, 09:42
1
1
Statement 1 : Not sufficient , we do know the value of X

Statement 2 : Not sufficient we do know the number of books still

Attachment:
Stmnt.PNG
Stmnt.PNG [ 9.85 KiB | Viewed 3683 times ]


When combined \(\frac{X}{3} >10\) = \(X > 30\)
\(\frac{3*X}{4} < 30\) = \(X < 40\)

Values can be 30 < X < 40 . Only 36 seems to satisfy the equation .

The answer is C
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7108
A shelf contains hardcover and paperback books, of either fiction or n  [#permalink]

Show Tags

New post 17 Feb 2015, 07:32
1
1
Bunuel wrote:
A shelf contains hardcover and paperback books, of either fiction or nonfiction. How many books are on the shelf?

(1) 2/3 of the books are fiction and 1/4 of the books are hardcover
(2) Fewer than 30 books are paperback and more than 10 are nonfiction


Kudos for a correct solution.



ans C..

1) statement tells us ' 2/3 of the books are fiction and 1/4 of the books are hardcover'... it basically tells us that the total books have to be a multiple of 3 and 4 or 12..
so total books = 12,24,36,48,60..... insufficient
2) say total books are x...two informations-
a) as 1/4 are hardcover, 3/4 are paperback..
x*3/4<30.. or x<40
b) 2/3 are fiction, so 1/3 are nonfiction...
x*1/3>10...x>30..
insufficient..

combined with (a), the values can be 12,24,36.. and with (b), the values can be 36,48..
however only 36 is common... so sufficient
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


GMAT online Tutor

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 51218
Re: A shelf contains hardcover and paperback books, of either fiction or n  [#permalink]

Show Tags

New post 22 Feb 2015, 10:02
Bunuel wrote:
A shelf contains hardcover and paperback books, of either fiction or nonfiction. How many books are on the shelf?

(1) 2/3 of the books are fiction and 1/4 of the books are hardcover
(2) Fewer than 30 books are paperback and more than 10 are nonfiction


Kudos for a correct solution.


VERITAS PREP OFFICIAL SOLUTION

Solution: C.

Statement 1 indicates that the total number of books is a multiple of 12, as the number must be able to be broken into both thirds and fourths. But without any actual numbers, the statement is not sufficient. Similarly statement 2 is not sufficient, as it offers no insight into proportions. But together, the statements guarantee that there are either 24, 36 or 48 total books (multiples of 12 that are in the range of the statement 2 numbers). 48 is out of the question, as if 3/4 of the books are paperback, that would mean that 3/4 of 48 = 36 books are paperback, and statement 2 limits that number to under 30. And 24 is not enough - 1/3 of the books are nonfiction, meaning that only 8 out of 24 books would be nonfiction, and the statement requires that at least 10 be nonfiction. With 36 total books: 2/3 are fiction = 24. 1/3 are nonfiction = 12. 1/4 are hardcover = 9, and 3/4 are paperback = 27.
_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
avatar
S
Joined: 24 Sep 2018
Posts: 138
Premium Member CAT Tests
A shelf contains hardcover and paperback books, of either fiction or n  [#permalink]

Show Tags

New post 06 Oct 2018, 07:10
A shelf contains hardcover and paperback books, of either fiction or nonfiction. How many books are on the shelf?

(1) 2/3 of the books are fiction and 1/4 of the books are hardcover
(2) Fewer than 30 books are paperback and more than 10 are nonfiction

Quote:
Statement 1 indicates that the total number of books is a multiple of 12, as the number must be able to be broken into both thirds and fourths. But without any actual numbers, the statement is not sufficient.


Quote:
Similarly statement 2 is not sufficient, as it offers no insight into proportions.


Quote:
But together, the statements guarantee that there are either 24, 36 or 48 total books (multiples of 12 that are in the range of the statement 2 numbers).

48 is out of the question, as if 3/4 of the books are paperback, that would mean that 3/4 of 48 = 36 books are paperback, and statement 2 limits that number to under 30.

And 24 is not enough - 1/3 of the books are nonfiction, meaning that only 8 out of 24 books would be nonfiction, and the statement requires that at least 10 be nonfiction.

With 36 total books: 2/3 are fiction = 24. 1/3 are nonfiction = 12. 1/4 are hardcover = 9, and 3/4 are paperback = 27.

_________________

Please award :thumbup: kudos, If this post helped you in someway. :student_man:

GMAT Club Bot
A shelf contains hardcover and paperback books, of either fiction or n &nbs [#permalink] 06 Oct 2018, 07:10
Display posts from previous: Sort by

A shelf contains hardcover and paperback books, of either fiction or n

  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®.