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29 Jan 2024, 07:45
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B
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Difficulty:
25%
(medium)
Question Stats:
82% (02:10) correct
18%
(02:42)
wrong
based on 643
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Not Attempted Yet
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
2024-01-29_18-36-14.png [ 39.08 KiB | Viewed 7985 times ]
A. 50
B. 60
C. 70
D. 80
E. 90
Attachment:
2024-01-29_18-36-14.png [ 39.08 KiB | Viewed 7985 times ]
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29 Jan 2024, 07:48
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guddo
- {Total} = {Fiction} + {Hardcover} - {Both} + {Neither}
N = 40 + 50 - 30 + {Neither}
N = 60 + {Neither}
The least possible value of N is when {Neither}, the number of books which are paperback nonfiction books, is 0. Hence, the least value of N is 60.
Answer: B.
30 Jan 2024, 00:11
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guddo
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
Attachments
Screenshot 2024-01-30 123935.png [ 67.51 KiB | Viewed 9325 times ]
