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# Among the N books in Estelle's library, 40 are fiction and the rest

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Among the N books in Estelle's library, 40 are fiction and the rest [#permalink]
I think gmatophobia , you have unnecessarily made the solution  bigger . From the matrix , it is obvious that the minimum value of non fiction books is 20 . It can be >= 20 , depending on the value of paper back and non fiction books.
hence the minimum no of total books = 40 + 20 = 60. It is actually >= 60. KarishmaB
gmatophobia wrote:
guddo wrote:
Among the N books in Estelle's library, 40 are fiction and the rest are nonfiction. Fifty of the N books are hardcovers and the rest are paperbacks. If 30 of the N books are hardcover fiction books, what is the least possible value of N?

A. 50
B. 60
C. 70
D. 80
E. 90

Attachment:
2024-01-29_18-36-14.png

The information from the question can be plotted into a 2*2 matrix as shown below. As N represents the number of books

$$N-60 \geq 0$$

$$N \geq 60$$

Least possible value of N = 60

Option B

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Among the N books in Estelle's library, 40 are fiction and the rest [#permalink]
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As per given info, we know total hardcover is 50, total fiction is 40, and fiction-hardcover is 30. So we get that Fiction softcover must be 10 and Non fiction hardcover must be 20. Minimum value of non fiction softcover will be 0 so minimum value of Total books = 60

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Screenshot 2024-05-03 at 10.18.29 AM.png [ 148.6 KiB | Viewed 390 times ]

Among the N books in Estelle's library, 40 are fiction and the rest [#permalink]
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