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

Question

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

virat · Answer

{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.

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	Nitish Sinha
	Rakesh Rakesh
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Top Contributors

Nitish

2 months, 2 weeks ago

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

Top Contributors

Nitish

2 months, 2 weeks ago

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

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