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If 'P' stands for '÷', 'Q' stands for '×', 'R' stands for '+', and 'S' stands for '−', then what is the value of the following expression? 40 S 10 P 5 R 2 Q 8 = ?
54
48
32
56
54
Apply BODMAS rule immediately after substituting signs: divide first, then multiply, then add and subtract from left to right.
Apply BODMAS rule immediately after substituting signs: divide first, then multiply, then add and subtract from left to right.
Substitution of Signs
Replace letters with their given operators: 40 S 10 P 5 R 2 Q 8 becomes 40 - 10 / 5 + 2 * 8.
Apply BODMAS Rule
Final Arithmetic Calculation
Perform addition and subtraction from left to right: 40 - 2 = 38; then 38 + 16 = 54.
B: 48 results from performing addition before multiplication; C: 32 results from incorrect order of operations; D: 56 results from grouping (40-10)/(5+2*8) incorrectly.
A is correct because applying BODMAS rules (40 - (10/5) + (2*8)) leads to 40 - 2 + 16 = 54.
Always verify division operations first; errors often stem from performing addition before multiplication.
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