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    If ' P ' stands for ' × ', ' Q ' stands for ' ÷\div÷​ ', ' R ' stands for ' - ' ' and ' S ' stands for ' + ', then the resultant of which of the follo
    Question

    If ' P ' stands for ' × ', ' Q ' stands for ' ÷\div​ ', ' R ' stands for ' - ' ' and ' S ' stands for ' + ', then the resultant of which of the following would be 75?​

    A.

    13S5S2P6P3R24R(44R2)

    B.

    13P5S2P6Q3S24R(44Q2)

    C.

    13R5S2P6P3S24R(44P2)

    D.

    13P5R2P6P3S24S(44Q2)

    Correct option is D

    Given: Resultant would be 75.
    Letters
    P
    Q
    R
    S
    Symbols
    ×
    ÷
    -
    +
    Given equation is solve by BODMAS rule.
    Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\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}
    Now, we check each options.
    Option (a): 13S5S2P6P3R24R(44R2) (False)
    New equation: 13 + 5 + 2 × 6 × 3 - 24 - (44 - 2)
    = 18 + 12 × 3 - 24 - 42
    = 18 + 36 - 66
    = 54 - 66
    = - 12
    Option (b): 13P5S2P6Q3S24R(44Q2) (False)
    New equation: 13 × 5 + 2 × 6 ÷ 3 + 24 - (44 ÷ 2)
    = 13 × 5 + 2 × 2 + 24 - 22
    = 65 + 4 + 24 - 22
    = 71
    Option (c): 13R5S2P6P3S24R(44P2) (False)
    New equation: 13 - 5 + 2 × 6 × 3 + 24 - (44 × 2)
    = 13 - 5 + 12 × 3 + 24 - 88
    = 13 - 5 + 36 + 24 - 88
    = 73 - 93
    = - 20
    Option (d): 13P5R2P6P3S24S(44Q2) (True)
    New equation: 13 × 5 - 2 × 6 × 3 + 24 + (44 ÷ 2)
    = 65 - 2 × 6 × 3 + 24 + 22
    = 65 - 12 × 3 + 46
    = 65 - 36 + 46
    = 111 - 36
    = 75
    Thus, correct option is (d).

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