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

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 : If the volume of two circular cones is in the ratio 4 : 1 and their diameter is in the ratio 5 : 4, then the ratio of their height is:

Option 1: 25 : 16

Option 2: 25 : 64

Option 3: 64 : 25

Option 4: 16 : 25

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 : The radii of two cylinders are in the ratio of 4 : 5 and their heights are in the ratio of 5 : 2. The ratio of their volume is:

Option 1: 9 : 4

Option 2: 2 : 1

Option 3: 9 : 7

Option 4: 8 : 5