Question : If A : B = 5 : 4, B: C = 6 : 5, C: D = 7 : 10, then what is the value of A : D?
Option 1: 21 : 25
Option 2: 7 : 3
Option 3: 21 : 20
Option 4: 25 : 24
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Correct Answer: 21 : 20
Solution : According to the question A : B = 5 : 4 B : C = 6 : 5 C : D = 7 : 10 Now, ⇒ A : D = (5 : 4) × (6 : 5) × (7 : 10) = $\frac{5×6×7}{4× 5 × 10}$ = $\frac{210}{200}$ = $\frac{21}{20}$ Hence, the correct answer is 21 : 20
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