Question : If A : B = 3 : 4 and B : C = 1 : 5, then what is A : C?
Option 1: 3 : 20
Option 2: 3 : 4
Option 3: 1 : 4
Option 4: 3 : 5
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Correct Answer: 3 : 20
Solution : A : B = 3 : 4 B : C = 1 : 5 = (1 × 4) : (5 × 4) = 4 : 20 Thus, A : B : C = 3 : 4 : 20 ⇒ A : C = 3 : 20 Hence, the correct answer is 3 : 20.
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Question : if $\frac{a}{b}=\frac{2}{3}$ and $\frac{b}{c}=\frac{4}{5}$, then $(a+b):(b+c)$=?
Option 1: 3 : 4
Option 2: 4 : 5
Option 3: 5 : 9
Option 4: 20 : 27
Question : If A : B = 3 : 2, B : C = 7 : 5 and C : D = 10 : 3, then what is A : D equal to?
Option 1: 7 : 1
Option 2: 1 : 7
Option 3: 4 : 3
Option 4: 3 : 4
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 : $\frac{1}{2}$ of A = $\frac{2}{5}$ of B = $\frac{1}{3}$ of C, then A : B : C is:
Option 1: 4 : 5 : 6
Option 2: 6 : 4 : 5
Option 3: 4 : 6 : 5
Option 4: 5 : 4 : 6
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
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