GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
The books on a bookshelf are either hardcover or paperback.
[#permalink]
03 Apr 2020, 08:21
03 Apr 2020, 08:21
Expert Reply
00:00
Question Stats:
75% (01:47) correct
25% (01:09) wrong based on 12 sessions
Hide Show timer Statistics
The books on a bookshelf are either hardcover or paperback. Sixty percent of the books are paperback and half of the hardcover books are fiction. If 40% of the paperback books are fiction, what percent of the books are nonfiction?
(A) 30
(B) 40
(C) 44
(D) 56
(E) 60
Kudos for the right answer and explanation
(A) 30
(B) 40
(C) 44
(D) 56
(E) 60
Kudos for the right answer and explanation
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: The books on a bookshelf are either hardcover or paperback.
[#permalink]
03 Apr 2020, 08:32
03 Apr 2020, 08:32
Carcass wrote:
The books on a bookshelf are either hardcover or paperback. Sixty percent of the books are paperback and half of the hardcover books are fiction. If 40% of the paperback books are fiction, what percent of the books are nonfiction?
(A) 30
(B) 40
(C) 44
(D) 56
(E) 60
Kudos for the right answer and explanation
(A) 30
(B) 40
(C) 44
(D) 56
(E) 60
Kudos for the right answer and explanation
Time for the Double Matrix Method!
This technique can be used for most questions featuring a population in which each member has two characteristics associated with it (aka overlapping sets questions)..
Here, we have a population of books, and the two characteristics are:
- hardcover or paperback
- fiction or nonfiction
From the given information, the diagram looks like this:
Once we fill in the empty boxes, we got the following:
At this point we can see that 56 of the 100 books are nonfiction.
56/100 = 56%
Answer: D
To learn more about the Double Matrix Method, watch this video:
Then you can try solving these two questions:
- https://gre.myprepclub.com/forum/qotd-11-o ... -2660.html
- https://gre.myprepclub.com/forum/on-a-cert ... 13470.html
gmatclubot
Re: The books on a bookshelf are either hardcover or paperback. [#permalink]
03 Apr 2020, 08:32
Moderators:
