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If 'P' stands for '├Ч', 'Q' stands for '├╖', 'R' stands for 'тИТ' and 'S' stands for '+', what will come in place of the question mark '?' in the following equation? (32┬аP┬а4)┬аR┬а(21┬аP┬а5)┬аS┬а(9┬аQ┬а3)┬аP┬а6=?
33
41
47
50
41
Substitute the symbols P, Q, R, S with x, /, -, + respectively and apply BODMAS rule strictly.
Substitute the symbols P, Q, R, S with x, /, -, + respectively and apply BODMAS rule strictly.
Step 1: Replace Symbols
Substitute 'P' with 'x', 'Q' with '/', 'R' with '-', and 'S' with '+' in the given equation: (32 x 4) - (21 x 5) + (9 / 3) x 6.
Step 2: Solve Brackets
Calculate the values inside each bracket: (32 x 4) = 128, (21 x 5) = 105, and (9 / 3) = 3. The equation becomes: 128 - 105 + 3 x 6.
Step 3: Perform Multiplication
Multiply 3 and 6: 3 x 6 = 18. The expression is now: 128 - 105 + 18.
Step 4: Final Addition and Subtraction
Perform addition and subtraction from left to right: 128 - 105 = 23, then 23 + 18 = 41.
A: 33 is incorrect because it fails to calculate the correct intermediate values. C: 47 is incorrect due to arithmetic error during addition/subtraction. D: 50 is incorrect because it misinterprets the operations.
B is correct because replacing symbols and evaluating the expression using BODMAS yields 41.
Always evaluate brackets and division/multiplication first before carrying out addition and subtraction in symbol-substitution equations.
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