Out of total 36 students in a class, what percent of students passed the talent hunt exam, if each of the 36 students appeared for the exam?

(1) 70% of boys and 12.5% of girls passed the talent hunt exam.

(2) There are more than 12 boys in the class.

Boys + girls = 36

(1)

means that 0,7*boys and 0,25*girls must be an integer.

there could be X girls and Y boys:

X must be a multiplier of 0,25: 4,8,12,16,20,24,28,32

Now, Y must be a multiplier of 0,7, and the number must be 36-X. We have only one option - 20. There were 36-20= 16 girls and 20 boys. 4 girls and 14 boys passed the exam. (28/36)*100= 2800/36 [%] passed the exam.

(2)

clearly not sufficient.

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