Question : What is the compounded ratio of (2 : 5), (5 : 11), and (33 : 8)?
Option 1: 3 : 4
Option 2: 2 : 11
Option 3: 33 : 5
Option 4: 2 : 5
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Correct Answer: 3 : 4
Solution : The compounded ratio of (2 : 5), (5 : 11), and (33 : 8) = $\frac{2}{5}$ × $\frac{5}{11}$ × $\frac{33}{8}$ = $\frac{3}{4}$ = 3 : 4 Hence, the correct answer is 3 : 4.
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Question : The ratio of speed of the three racers is 5 : 2 : 1. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 2 : 5 : 10
Option 2: 2 : 5 : 8
Option 3: 5 : 2 : 10
Option 4: 2 : 5 : 3
Question : If the ratio of the volumes of two cylinders is 7 : 5 and the ratio of their heights is 5 : 7, then what is the ratio of their radii?
Option 1: 5 : 7
Option 2: 3 : 4
Option 3: 5 : 9
Option 4: 4 : 5
Question : The lengths, the breadths, and the volumes of two cuboids are in the ratios of 4 : 5, 3 : 4, and 2 : 3, respectively. What is the ratio of their heights?
Option 1: 3 : 5
Option 2: 10 : 9
Option 3: 8 : 15
Option 4: 2 : 3
Question : The three racers' speed ratio is 3 : 2 : 4. What is the respective ratio of time taken by the three racers to cover the same distance?
Option 1: 6 : 8 : 9
Option 2: 4 : 8 : 5
Option 3: 10 : 8 : 3
Option 4: 4 : 6 : 3
Question : What is the value of $4^{2}-3^{2}+6^{2}-5^{2}+8^{2}-7^{2}$?
Option 1: 30
Option 2: 33
Option 3: 3
Option 4: 27
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