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The value of $${\text{1 + }}\frac{1}{{4 \times 3}} + \frac{1}{{4 \times {3^2}}} + \frac{1}{{4 \times {3^2}}} = ?$$

A. $$\frac{{121}}{{108}}$$

B. $$\frac{3}{2}$$

C. $$\frac{{31}}{2}$$

D. None of these

Answer: Option A

Solution(By Examveda Team)

$$\eqalign{ & {\text{Given expression,}} \cr & \frac{{4 \times {3^3} + {3^2} + 3 + 1}}{{4 \times {3^3}}} \cr & = \frac{{108 + 9 + 3 + 1}}{{108}} \cr & = \frac{{121}}{{108}} \cr} $$

This Question Belongs to Arithmetic Ability >> Simplification

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