Question : If 2A = 3B = 7C, then what is the value of A : B : C?
Option 1: 3 : 2 : 1
Option 2: 21 : 14 : 6
Option 3: 21 : 7 : 6
Option 4: 14 : 18 : 5
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Correct Answer: 21 : 14 : 6
Solution : Given, 2A = 3B ⇒ A = $\frac{3}{2}$B And, 7C = 3B ⇒ C = $\frac{3}{7}$B ⇒ A : B : C = $\frac{3}{2}$B : B : $\frac{3}{7}$B ⇒ A : B : C = 21B : 14B : 6B = 21 : 14 : 6 Hence, the correct answer is 21 : 14 : 6.
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Question : If a : b : c = 2 : 3 : 7, then what is 2a : 3b : 7c?
Option 1: 4 : 9 : 49
Option 2: 5 : 10 : 52
Option 3: 6 : 10 : 49
Option 4: 6 : 10 : 47
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
Question : If $A: B: C=2: 3: 5$, then what is the value of $(A+B):(B+C):(C+A)$?
Option 1: 8 : 15 : 14
Option 2: 5 : 8 : 7
Option 3: 6 : 9 : 14
Option 4: 9 : 10 : 12
Question : If U : V = 6 : 7 and V : W = 21 : 6, then find U : V : W.
Option 1: 6 : 7 : 6
Option 2: 5 : 4 : 3
Option 3: 6 : 14 : 12
Option 4: 6 : 7 : 2
Question : If a : b : c = 5 : 6 : 4, then what is the value of (a + b + c) : (3a + b – c)?
Option 1: 25 : 23
Option 2: 18 : 23
Option 3: 15 : 17
Option 4: 18 : 19
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