Question : Arrange the given ratios in descending order 15 : 7, 5 : 11, and 21 : 77.
Option 1: 21 : 77 > 5 : 11 > 15 : 7
Option 2: 15 : 7 > 5 : 11 > 21 : 77
Option 3: 15 : 7 > 21 : 77 > 5 : 11
Option 4: 5 : 11 > 15 : 7 > 21 : 77
Correct Answer: 15 : 7 > 5 : 11 > 21 : 77
Solution : Given: 15 : 7, 5 : 11, and 21 : 77 15 : 7 = $\frac{15}{7}$ = $\frac{165}{77}$ 5 : 11 = $\frac{5}{11}$ = $\frac{35}{77}$ 21 : 77 = $\frac{21}{77}$ $\therefore$ Arranging in descending order, we get, 15 : 7 > 5 : 11 > 21 : 77 Hence, the correct answer is 15 : 7 > 5 : 11 > 21 : 77.
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