Solve $$\frac{294 ÷ 14 × 5 + 11}{?}$$ = 82 ÷ 5 + 1.7
A. 8
B. 6
C. 12
D. 5
E. 10
Answer: Option A
Solution(By Examveda Team)
Let the missing number be x$$\eqalign{ & \frac{{294 \div 14 \times 5 + 11}}{x} = {8^2} \div 5 + 1.7 \cr & \Rightarrow \frac{{\frac{{294}}{{14}} \times 5 + 11}}{x} = \frac{{64}}{5} + 1.7 \cr & \Rightarrow \frac{{21 \times 5 + 11}}{x} = 12.8 + 1.7 \cr & \Rightarrow \frac{{105 + 11}}{x} = 12.8 + 1.7 \cr & \Rightarrow \frac{{116}}{x} = 14.5 \cr & \Rightarrow x = \frac{{116}}{{14.5}} \cr & \Rightarrow x = \frac{{116 \times 10}}{{145}} \cr & \Rightarrow x = 8 \cr} $$
Hence, the number is 8
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