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If 2A = 3B = 4C, then A : B : C is equal to –

a) 2 : 3 : 4
b) 3 : 4 : 6
c) 4 : 3 : 2
d) 6 : 4 : 3

Answer: d
Explanation: Let 2A = 3B = 4C = k
$$\eqalign{ & A = \frac{k}{2}, \cr & B = \frac{k}{3}, \cr & C = \frac{k}{{4}} \cr & {\text{A}}:{\text{B}}:{\text{C}} = \frac{k}{2}:\frac{k}{3}:\frac{k}{4} \cr & = \frac{1}{2}:\frac{1}{3}:\frac{1}{4} {\text{ (Multiply by 12)}} \cr & = 6:4:3 \cr} $$

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