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16 Feb 2015, 06:45
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
53% (02:32) correct
47%
(02:11)
wrong
based on 401
sessions
History
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Time
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Not Attempted Yet
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
(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
shelrod007
Joined: 23 Jan 2013
Last visit: 16 Sep 2016
Posts: 99
Given Kudos: 41
Concentration: Technology, Other
Schools: Berkeley Haas
GMAT Date: 01-14-2015
WE:Information Technology (Computer Software)
16 Feb 2015, 10:42
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Statement 1 : Not sufficient , we do know the value of X
Statement 2 : Not sufficient we do know the number of books still
Stmnt.PNG [ 9.85 KiB | Viewed 9893 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
Statement 2 : Not sufficient we do know the number of books still
Attachment:
Stmnt.PNG [ 9.85 KiB | Viewed 9893 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
17 Feb 2015, 08:32
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Bookmarks
Bunuel
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
