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
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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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Question : The ratio of the number of boys to the number of girls in a class is 2 : 5. If 10 boys leave the class and 20 new girls join the class, then the new ratio of boys and girls in the class becomes 4 : 25. What is the number of boys in the class now?
Option 1: 12
Option 2: 8
Option 3: 9
Option 4: 22
Question : In a class of 60 students, the ratio of girls to boys is 2 : 3. If 20 more girls join the class, then what is the new number of girls in the class?
Option 1: 45
Option 2: 44
Option 3: 50
Option 4: 56
Question : In a college, the ratio of the number of boys to girls is 3 : 8. If there are 180 boys, then how many girls are in the college?
Option 1: 380
Option 2: 480
Option 3: 660
Option 4: 420
Question : In a class, if 55% of the students are boys and the number of girls is 90, then find the number of boys.
Option 1: 135
Option 2: 120
Option 3: 198
Option 4: 110
Question : If the surface area of two spheres is in the ratio 81 : 25, then what is the ratio of their radius?
Option 1: 5 : 8
Option 2: 7 : 9
Option 3: 5 : 7
Option 4: 9 : 5
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