If 'P' stands for 'x', 'Q' stands for '÷', 'R' stands for '-' and 'S' stands for '+', then the resultant of which of the following would be 57?

P' stands for 'x'

'Q' stands for '÷',

'R' stands for '-'

'S' stands for '+',

​$$\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[],{}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\ \hline \text{Addition} & + \\ \hline \text{Subtraction} & - \\\hline\end{array}$$​​

Option (a): (160 R 10) S (30 Q 2) S (16 Q 4) R 45

(160 - 10) + (30 ÷ 2) + (16 ÷ 4) - 45

? = (160 - 10) + 15 + 4 - 45

? = 150 + 15 + 4 - 45

? = 169 - 45

Option (b): (160 Q 10) S (30 P 2) R (16 P4) S 45

(160 ÷ 10) + (30 × 2) - (16 × 4) + 45

16 + 60 - (16 × 4) + 45

16 + 60 - 64 + 45

16 + 60 + 45 - 64 

121 - 64

we get the resultant of which of the following would be 57 in the option b

Thus, the correct option is (b).

 

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