BTGmoderatorLU wrote:A lecture course consists of 595 students. The students are to be divided into discussion sections, each with an equal number of students. Which of the following cannot be the number of students in a discussion section?
A. 17
B. 35
C. 45
D. 85
E. 119
Number of discussion sections = (total number of students)/(number of students per section).
section.
Since the total number of students = 595, the number of students per section must be a FACTOR OF 595.
The question stem asks for a value that CANNOT be the number of students per classroom.
For an integer to be a multiple of 3, its digits must sum to a multiple of 3.
Since the sum of the digits of 595 is not a multiple of 3, 595 is not divisible by 3.
Implication:
Any answer choice that is a multiple of 3 cannot be a factor of 595 and thus cannot serve as the number of students per section.
Since 45 is a multiple of 3, it cannot serve as the number of students per section.
The correct answer is
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