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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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