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If A means ├╖, B means ├Ч,Cmeans +, and D means -, find the value: 10 B 3 D 8 A 2 C 5 =?
31
30
32
29
31
Apply the BODMAS rule strictly: first divide (A), then multiply (B), then add (C), and finally subtract (D). Calculate 10├Ч3=30 and 8├╖2=4 mentally to simplify the expression to 30тИТ4+5.
Expression: 10 B 3 D 8 A 2 C 5. Sign meanings: A = ├╖, B = ├Ч, C = +, D = -.
BODMAS=Bracket,┬аOf,┬аDivision,┬аMultiplication,┬аAddition,┬аSubtraction
Apply the BODMAS rule strictly: first divide (A), then multiply (B), then add (C), and finally subtract (D). Calculate 10├Ч3=30 and 8├╖2=4 mentally to simplify the expression to 30тИТ4+5.
Performing operations from left to right without respecting the BODMAS hierarchy, such as doing 3тИТ8 before division.
Substitution of signs
Replace the letters A, B, C, and D with their respective mathematical operators: ├╖, ├Ч, +, -.
10├Ч3тИТ8├╖2+5
Division step (BODMAS)
Perform the division operation first: 8├╖2=4.
10├Ч3тИТ4+5
Multiplication step (BODMAS)
Perform the multiplication operation next: 10├Ч3=30.
30тИТ4+5
Addition and Subtraction
Perform the final addition and subtraction: 30тИТ4=26 and 26+5=31.
26+5=31
A is correct because the step-by-step simplification of the expression 10├Ч3тИТ8├╖2+5 results in 30тИТ4+5=31.
This topic is foundational for all competitive exams; always look for the BODMAS order in complex arithmetic chains to avoid silly errors.
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