Question 10

6 books are needed to represent the number of biographies ordered.

The number of biographies ordered is represented by the difference between the total number of books ordered and the sum of the other categories. Since 92 total books were ordered, and the number of science fiction books, historical novels, and dictionaries accounted for a certain amount, the remaining quantity is 6.

A) 6

This option is correct because it accurately reflects the number of biographies ordered after calculating the total minus the other categories. The total of 92 books, minus the counts of the other genres, results in 6 biographies.

B) 7

This option is incorrect as it suggests one more biography than what is calculated. The proper arithmetic shows that the remaining books after accounting for the other genres is exactly 6, not 7.

C) 17

This option is incorrect because it overestimates the number of biographies ordered. The calculation clearly shows that only 6 books remain after the other genres are accounted for, making 17 an inaccurate representation.

D) 23

This option is incorrect as it significantly overstates the number of biographies. The total is limited to 6 remaining books after subtracting the counted genres, thus 23 is not a viable option.

E) 75

This option is incorrect because it represents an unrealistic count based on the total books ordered. The number of biographies cannot exceed the total of 92, and the remaining after accounting for other genres is only 6.

Conclusion

The correct answer is 6 books, as it accurately represents the number of biographies ordered after considering the total and the other categories. All other options either miscalculate the remaining number of books or exceed logical constraints based on the total provided. Thus, A is the only option that aligns with the calculations derived from the question context.