If the number of boys in a class is 6 times the number of girls, which value can never be the total

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20 Jul 2018 Arithmatic

If the number of boys in a class is 6 times the number of girls, which value can never be the total number of students?

OPtion

1) 42
2) 56
3) 28
4) 140
5) 84
6) 48
7) 70
8) 63
9) 98
10) None of these

Solution

Let number of girls be x

So number of boys = 6x


Then, total number of students = x+6x 7x

i.e., total number of students must be a multiple of 7

In the given choices, 48 is not a multiple of 7

Correct Option: 6 Best Solution (8)