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    If P denotes ‘+’, Q denotes ‘–’, R denotes ‘÷’, S denotes ‘×’ and 28P8R4Q3S1= a3, then the value of "a" is
    Question

    If P denotes ‘+’, Q denotes ‘–’, R denotes ‘÷’, S denotes ‘×’ and 28P8R4Q3S1= a3, then the value of "a" is

    A.

    2

    B.

    3

    C.

    1

    D.

    4

    Correct option is B

    Given:
    ​28P8R4Q3S1= a3
    Symbol
    Meaning
    P
    + (Addition)
    Q
    (Subtraction)
    R
    ÷ (Division)
    S
    × (Multiplication)
    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}​​
    So the expression becomes:
    28 + 8 ÷ 4 – 3 × 1 = a3
    28 + 2 – 3 × 1 = a3
    28 + 2 – 3 = a3
    30 – 3 = a3
    27 = a3
    The value of the expression is 27, and we’re told that it equals a3, which means:
    a3 = 27
    So, a = 3 \rightarrow (3)3= 27
    Thus, the correct option is: (b)

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