Answer:
Given, total number of students in a class = 30 Number of students who like football = 6 Number of students who like cricket = 12 Then, number of students who like tennis = Total number of students - (Number of students who like football + Number of students who like cricket) \[=30-(6+12)=30-18=12\] (a) Ratio of number of students liking football to number of students liking tennis \[\text{=}\frac{\text{Number}\,\text{of}\,\text{students}\,\text{who}\,\text{like}\,\text{football}}{\text{Number}\,\text{of}\,\text{students}\,\text{who}\,\text{like}\,\text{tennis}}=\frac{6}{12}\] \[=\frac{6\div 6}{12\div 6}=\frac{1}{2}=1:2\][\[\because \]HCF of 6 and 12 = 6] (b) Ratio of number of students liking cricket to total number of students \[\text{=}\frac{\text{Number of students who like cricket }}{\text{Total number of students}}=\frac{12}{30}\] \[=\frac{12\div 6}{30\div 6}=\frac{2}{5}\] [\[\because \]HCF of 12 and 30 = 6]
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