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Simplify: [(120тИТ24├╖(4+2))├Ч2тИТ(50├╖5+6)]+[(18+12├Ч2тИТ8)тИТ(9├╖3+5)]
252
242
262
232
242
Solve inner brackets first. Work from inside out for nested brackets: solve the division (24├╖6=4) and the innermost additions/subtractions first to reduce complexity.
An expression involving brackets, multiplication, division, addition, and subtraction.
BODMAS=Brackets,Orders,Division,Multiplication,Addition,Subtraction
Solve inner brackets first. Work from inside out for nested brackets: solve the division (24├╖6=4) and the innermost additions/subtractions first to reduce complexity.
Confusing the order of operations within the brackets, specifically calculating the outer multiplication before solving the division inside the parentheses.
Simplify first square bracket
Solve inside the inner parentheses: 4+2=6, then 24├╖6=4. Next, 120тИТ4=116. Then, 116├Ч2=232. For the second part: 50├╖5=10, 10+6=16. Subtracting these gives 232тИТ16=216.
(120тИТ4)├Ч2тИТ16=232тИТ16=216
Simplify second square bracket
Solve inside the parentheses: 12├Ч2=24, 18+24=42, 42тИТ8=34. For the second parenthesis: 9├╖3=3, 3+5=8. Subtracting gives 34тИТ8=26.
(34)тИТ(8)=26
Combine both results
Add the results of the two square brackets: 216+26=242.
216+26=242
B is correct because the step-by-step simplification using BODMAS results in 242.
This concept of operator precedence is fundamental for all quantitative sections including Algebra and Data Interpretation, where nested expressions appear frequently.