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যদি ‘P’ দ্বারা ‘×’, ‘Q’ দ্বারা ‘÷’, ‘R’ দ্বারা ‘−’ এবং ‘S’ দ্বারা ‘+’ বোঝানো হয়, তাহলে নিম্নলিখিত সমীকরণে প্রশ্নবোধক চিহ্নের (?) স্থানে কী বসবে?
(12 P 3) Q 4 S 5 P 8 =?
41
53
49
62
41
Apply BODMAS rule immediately after substituting symbols. The sequence is Division → Multiplication → Addition → Subtraction.
Apply BODMAS rule immediately after substituting symbols. The sequence is Division → Multiplication → Addition → Subtraction.
Symbol Substitution
Replace letters with arithmetic operators as per the question: P = ×, Q = ÷, R = −, S = +. The expression becomes (12 × 3) ÷ 4 + 5 × 8.
BODMAS Application
Solve brackets first: (12 × 3) = 36. Now the expression is 36 ÷ 4 + 5 × 8.
Division and Multiplication
Execute division and multiplication from left to right: 36 ÷ 4 = 9 and 5 × 8 = 40. Now expression is 9 + 40.
Addition
Perform the final addition: 9 + 40 = 49.
A: 41 is the result of incorrect order (e.g., ignoring multiplication before addition), B: 53 ignores precedence, D: 62 results from incorrect grouping.
C is correct because the application of BODMAS on the expression (12 × 3) ÷ 4 + 5 × 8 yields 9 + 40 = 49.
In any coded expression, always handle brackets and Division (Q) first. Failing to perform multiplication before addition is the most common error in these questions.
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