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04 Nov 2025, 09:02
Kudos
Bookmarks
C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
80% (01:37) correct
20%
(01:07)
wrong
based on 50
sessions
History
Date
Time
Result
Not Attempted Yet
Of the 30 students who each borrowed 2 books from the library, some read both books, some read only 1 book, and some read neither book. What percent of the books borrowed by the 30 students were actually read?
(1) Of the 30 students, 12 read only 1 book.
(2) Of the 30 students, 6 read neither book.
(1) Of the 30 students, 12 read only 1 book.
(2) Of the 30 students, 6 read neither book.
10 Nov 2025, 02:50
Kudos
Bookmarks
Each of the 30 students borrowed 2 books, so a total of 60 books were borrowed.
To find the percent of books read, we need to know how many of those 60 books were actually read.
Statement (1)
12 students read only 1 book each.
However, we do not know how many students read both books or how many read none.
Therefore, we cannot determine how many books were read in total.
Hence, Statement (1) is insufficient.
Statement (2)
6 students read neither book.
However, we do not know how many students read both books or only one.
Therefore, we cannot determine how many books were read in total.
Hence, Statement (2) is insufficient.
Statement (1) and Statement (2) combined
12 students read only 1 book, and 6 read neither.
That leaves 12 students who must have read both books.
Books read = (12 × 1) + (12 × 2) = 36.
Books borrowed = 60.
Percent read = (36 ÷ 60) × 100.
Hence, both statements together are sufficient to answer the question.
C is the correct answer choice.
To find the percent of books read, we need to know how many of those 60 books were actually read.
Statement (1)
12 students read only 1 book each.
However, we do not know how many students read both books or how many read none.
Therefore, we cannot determine how many books were read in total.
Hence, Statement (1) is insufficient.
Statement (2)
6 students read neither book.
However, we do not know how many students read both books or only one.
Therefore, we cannot determine how many books were read in total.
Hence, Statement (2) is insufficient.
Statement (1) and Statement (2) combined
12 students read only 1 book, and 6 read neither.
That leaves 12 students who must have read both books.
Books read = (12 × 1) + (12 × 2) = 36.
Books borrowed = 60.
Percent read = (36 ÷ 60) × 100.
Hence, both statements together are sufficient to answer the question.
C is the correct answer choice.
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