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If A and B are in the ratio 3 : 4, and B and C in the ratio 12 : 13, then A and C will be in the ratio

a) 3 : 13
b) 9 : 13
c) 36 : 13
d) 13 : 9

Answer: b
Explanation:
$$\eqalign{ & {\frac{A}{B}} \times {\frac{B}{C}} = {\frac{3}{4}} \times {\frac{{12}}{{13}}} \cr & \,\frac{A}{C} = \frac{{36}}{{52}} = 9:13 \cr} $$

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