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George has a total of B books in his library, 25 of which are hardcove

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George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 03:47
2
14
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

78% (01:54) correct 22% (01:55) wrong based on 1010 sessions

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George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B?

(1) 40 of the B books are fiction and the rest are nonfiction
(2) 60 of the B books are hardcovers and the rest are paperbacks

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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 06:19
Is this E by any chance as we dont have sufficient info about Non fiction books
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 09:02
it took be bloody 6 minutes to solve this question

IMO C, sorry dificult to write explaination..... waiting for OA
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 09:17
E for me too.

no info about Non-Fiction Paper back
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 09:40
1
Bunuel wrote:
George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B?

(1) 40 of the B books are fiction and the rest are nonfiction
(2) 60 of the B books are hardcovers and the rest are paperbacks


Stem
FI | NF |
---------------
25 | ?? | HC
---------------
?? | ?? | PB
---------------

1)
FI | NF |
---------------
25 | ?? | HC
---------------
15 | ?? | PB
---------------
^
||
Total = 40
Insufficient

2)
FI | NF |
---------------
25 | 35 | HC <= Total = 60
---------------
?? | ?? | PB
---------------
Insufficient

Both
FI | NF |
---------------
25 | 35 | HC
---------------
15 | ?? | PB
---------------
Insufficient

E is the answer.
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 16 Jun 2016, 12:22
2
Bunuel wrote:
George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B?

(1) 40 of the B books are fiction and the rest are nonfiction
(2) 60 of the B books are hardcovers and the rest are paperbacks


Statement 1:-

Total fiction books= 40
Hardcover fiction books= 25
So, paper-cover fiction books= 15 (40-25)

Since the total books is B and and fiction books are 40. Non fiction would be (B-40)

We don't know the value of non-fiction books (both hard cover and paper cover)
Not sufficient.

Statement 2

Hardcover books= 60
Fiction and Hardcover books= 25

So, non fiction hardcover books are= 35 (60-35)

Just as in statement 1, this statement does not give us the number of paper-cover book (both fiction and non fiction)
Not sufficient.

Combining both statements, we do not get the answer as we do not know the number of non-fiction and paper-cover books.

E is the answer
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 18 Jun 2016, 04:52
IMO E
info given
f | Nf |total
HC|25|-
PB|- |-
A)
f | Nf |total
HC|25|-
PB|14|-
T |40|-
Clearly not sufficient
B)
f | Nf |total
HC|25|35|60
PB|--|-
T |--|-
Insufficient

A and B combined
f | Nf |total
HC|25|35|60
PB|15|??|
T |40|??|
Still value of nonfiction paper back is not known
there not sufficient
So E
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 18 Jun 2016, 07:26
Divyadisha wrote:
Bunuel wrote:
George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B?

(1) 40 of the B books are fiction and the rest are nonfiction
(2) 60 of the B books are hardcovers and the rest are paperbacks


Statement 1:-

Total fiction books= 40
Hardcover fiction books= 25
So, paper-cover fiction books= 15 (40-25)

Since the total books is B and and fiction books are 40. Non fiction would be (B-40)

We don't know the value of non-fiction books (both hard cover and paper cover)
Not sufficient.

Statement 2

Hardcover books= 60
Fiction and Hardcover books= 25

So, non fiction hardcover books are= 35 (60-35)

Just as in statement 1, this statement does not give us the number of paper-cover book (both fiction and non fiction)
Not sufficient.

Combining both statements, we do not get the answer as we do not know the number of non-fiction and paper-cover books.

E is the answer

I think you meant (60-25), not (60-35)
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 04 Jul 2016, 00:46
IMO A...

What is the OA and OE?
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 04 Jul 2016, 01:11
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 04 Jul 2016, 01:18
Oh did a blunder!!

Now Got it!! Thanks Bunuel
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 04 Jul 2016, 13:41
A couple of ways to solve this question:

Venn Diagram Method: https://youtu.be/5G5IwHoHjgk
Chart Method: https://www.youtube.com/watch?v=DCn-r_4rNFI
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 20 Aug 2016, 01:31
In this kind of DS questions are fiction/non-fiction and hardcover/paperback options exhaustive? If there is no note that he has only these kinds of books, we can't assume it, right?
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 20 Aug 2016, 01:53
1
manlog wrote:
In this kind of DS questions are fiction/non-fiction and hardcover/paperback options exhaustive? If there is no note that he has only these kinds of books, we can't assume it, right?


We cannot assume that because each of the statements clearly stated " and the rest ", implying other options could not be assumed.
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George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 09 May 2017, 04:18
3
There are 4 categories of Books
P = Fiction & Hardcover
Q = Fiction & Paperback
R = Non-Fiction & Hardcover
S = Non-Fiction & Paperback

P+Q+R+S = B (given)
P = 25
Find Value of B

STMT 01: P+Q = 40
P=25 => Q = 15
P+Q+R+S = B
40+R+S = B
Since values of R & S are unknown. This stmt is insufficient.

STMT 02: P + R = 60
P=25 => R = 35
Q+S+60 = S
Since values of Q & S are unknow. This stmt is insufficient

STMT 01 & 02:
P=25 ; Q=15 ; R = 35 ; S = ?
P+Q+R+S = B
75+S = B
Still value of S is unknown. Hence E.
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 29 Aug 2018, 01:56
Bunuel wrote:
George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B?

(1) 40 of the B books are fiction and the rest are nonfiction
(2) 60 of the B books are hardcovers and the rest are paperbacks


It also took very long for me. After giving a thought again, I realized that it can be solved very easily by a table format.
fiction Non
------------------------------------------------------------
Hardcover 25 35 from 2nd = 60
-------------------------------------------------------------
Paper 15 PF x ----- no info
-----------------------------------------------------------------
Total 40 from 1st

So E.
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 30 Aug 2018, 15:24
I completely agree that this question can be answered efficiently using a matrix box approach, also known as the double matrix. The one thing I want to add to this discussion is to answer the question: How do we know that we can use a matrix box on this question?

Whenever we see that a group can be divided into 2 parts in 2 different ways, we can use a matrix box. In this case, George's books can be divided into fiction and nonfiction (1st way) and hardcover and paperback (2nd way). This tells us that we can use a matrix box.

I hope that this helps others to more quickly recognize that a matrix box or double matrix will be useful on questions like these. If you want more practice on recognizing and using matrix boxes, please visit the following link, where I have compiled a list of questions on which you can use matrix boxes:

Matrix Boxes
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Re: George has a total of B books in his library, 25 of which are hardcove  [#permalink]

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New post 02 Sep 2018, 03:57
Answer is E
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Re: George has a total of B books in his library, 25 of which are hardcove &nbs [#permalink] 02 Sep 2018, 03:57
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