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The value of (325)(\frac{32}{5})(532​) ×\times× 92 + (35)(\frac{3}{5})(53​) ×\times× 2 is:​
Question

The value of (325)(\frac{32}{5}) ×\times 92 + (35)(\frac{3}{5}) ×\times 2 is:​

A.

401

B.

590

C.

812

D.

502

Correct option is B

Given:

The value of (325)(\frac{32}{5})×\times​ 92 +(35)(\frac{3}{5})×\times 2 = ?

Solution:

(325)×92+(35)×2=>15(32×92+3×2)=>15×2950=>590\begin{aligned}& \left(\frac{32}{5}\right) \times 92+\left(\frac{3}{5}\right) \times 2 \\& \Rightarrow \frac{1}{5}(32 \times 92+3 \times 2) \\& \Rightarrow \frac{1}{5} \times 2950 \\& \Rightarrow 590\end{aligned} 

Thus, the required answer is 590.

​​

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