If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students - mathselab.com

If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students?

Question


If the number of boys in a class is 8 times the number of girls, which value can never be the total number of students?


A. 27
B. 42
C. 45
D. 81


Answer: B. 42


Solution:

Let number of girls = x

number of boys = 8x

Then, total number of students = x + 8x = 9x

i.e., total number of students must be a multiple of 9.

In the given choices, 42 is not a multiple of 9.

Hence, total number of students cannot be 42.

Hence, The Answer is 42.



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