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1358 - Data Sufficiency

Data Sufficiency MCQ No. : 50326

In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?

(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.

(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.

Correct Answer: D

Explanation:

Algebra Sets and functions

Let x represent the fiction books that are written in Spanish. A table could be set up like the one below, filling in the information that is known or able to be known:

Spanish Non-Spanish Total
Fiction x 24
Nonfiction 56
Total 23 57 80
  • (1) If a; represents the fiction books written in Spanish, then x+6 can now be used to represent the fiction books that are not written in Spanish. From the table above, it can be seen then that x + x + 6 = 24, or 2x = 18. Therefore, x, or the number of fiction books written in Spanish, is 9; SUFFICIENT.
  • (2) If x represents the fiction books written in Spanish, then x+ 5 can now be used to represent the nonfiction books written in Spanish. From the table, it can be said that x + x + 5 = 23, or 2x = 18. Therefore, x, or the number of fiction books written in Spanish, is 9; SUFFICIENT.

The correct answer is D; each statement alone is sufficient.

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