Question : If the ratio of boys to girls in a class is 8 : 5, which of the following options could be the total number of students in that class?
Option 1: 81
Option 2: 78
Option 3: 57
Option 4: 66
Correct Answer: 78
Solution :
Let the ratio of boys and girls be $8x:5x$
Total students be $8x+5x=13x$
Now, checking for the options which is divisible by 13.
a. 81 = $\frac{81}{13}$ = 6.23
b. 78 = $\frac{78}{13}$ = 6
c. 57 = $\frac{57}{13}$ = 4.38
d. 66 = $\frac{66}{13}$ = 5.07
Thus, 78 is exactly divisible by 13.
Hence, the correct answer is 78.
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