The value of \({{3} \over 8}\) + \(\left[\left(\frac{4}{8}\div \frac{2}{3}\right)\times \frac{8}{5}+\frac{3}{10}\right] \) is:

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SSC MTS (2022) Official Paper (Held On: 11 May, 2023 Shift 3)
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  1. \({{15} \over 8}\)
  2. \({{3} \over 8}\)
  3. \({{3} \over 2}\)
  4. \({{15} \over 2}\)

Answer (Detailed Solution Below)

Option 1 : \({{15} \over 8}\)
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SSC MTS 2024 Official Paper (Held On: 01 Oct, 2024 Shift 1)
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Detailed Solution

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Given

 \({{3} \over 8} \)  +  \(\left[\left(\frac{4}{8}\div \frac{2}{3}\right)\times \frac{8}{5}+\frac{3}{10}\right] \) 

Concept used:

image (2)
Calculation

⇒  \({{3} \over 8} \) + \(\left[\left(\frac{4}{8}\div \frac{2}{3}\right)\times \frac{8}{5}+\frac{3}{10}\right] \) 

⇒  \({{3} \over 8} \)  + \(\left[\left(\frac{4}{8}\times \frac{3}{2}\right)\times \frac{8}{5}+\frac{3}{10}\right] \)  

⇒  \({{3} \over 8} \)  +   \(\left(\frac{3}{4}\times \frac{8}{5}+\frac{3}{10}\right)\)   

⇒  \({{3} \over 8} \)  +  \((\frac{6}{5}+\frac{3}{10}) \)  

⇒  \({{3} \over 8} \)  +  \(15\over 10\)    


⇒ \((15 + 60 )\over 40\)     

⇒  \(75 \over 40\)   

⇒  \(15 \over 8\)   

∴ The required answer is 15/8.

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