Question : The ratio of the number of boys and girls in a school is 3 : 4 respectively. If the number of boys increases by 10% and the number of girls increases by 15%, what will be the new ratio of the number of boys to the number of girls?

Option 1: $\frac{33}{45}$

Option 2: $\frac{35}{46}$

Option 3: $\frac{33}{46}$

Option 4: $\frac{46}{33}$

Question : In a class, there are 54 students. $33 \frac{1}{3}$% of the number of students are boys and the rest are girls. The average score in mathematics of boys is 50% more than that of girls. If the average score of all the students is 70, then what is the average score of the boys?

Option 1: 81

Option 2: 84

Option 3: 87

Option 4: 90

Question : The ratio of the number of boys and girls in a school is 8 : 12. If 50% of boys and 25% of girls are getting scholarships for their studies, what is the percentage of school students who are not getting any scholarships?

Option 1: 65

Option 2: 66

Option 3: 67

Option 4: 68

Question : The ratio of the number of boys to girls in a school is 5 : 2. If 87% of the boys and 80% of the girls passed in the annual exams, then find the percentage of students who failed in the annual exams.

Option 1: 18%

Option 2: 16%

Option 3: 15%

Option 4: 17%

Question : In a school of 720 students, the ratio of boys to girls is 3 : 5. Find how many new boys may be allowed to the school if 18 new girls are admitted, so that the ratio of boys to girls changes to 2 : 3.

Option 1: 42

Option 2: 44

Option 3: 50

Option 4: 38