Join 60,000+ competitive exam aspirants
Find the value of 50тИТ[30тИТ(80├╖4тИТ(10тИТ12├╖4)├╖7)].
21
23
25
27
21
Work from the innermost parentheses outward; perform the operations inside the smallest brackets first, keeping track of the signs to prevent errors.
A mathematical expression: 50 - [30 - (80 / 4 - (10тИТ12 / 4) / 7)]
BODMAS:┬аBracket,┬аOf,┬аDivision,┬аMultiplication,┬аAddition,┬аSubtraction
Work from the innermost parentheses outward; perform the operations inside the smallest brackets first, keeping track of the signs to prevent errors.
A common mistake is incorrectly evaluating the order inside the innermost parentheses, specifically performing subtraction before division (i.e., (10тБ╗┬╣┬▓)/4 instead of 10-(12/4)).
Solve innermost parenthesis
Evaluate the innermost parenthesis by first performing the division inside it: 12├╖4=3, then subtract: 10тИТ3=7.
10тИТ12├╖4=10тИТ3=7
Simplify the next level of brackets
Substitute the result back into the middle bracket: (80├╖4тИТ7├╖7). First, 80├╖4=20 and 7├╖7=1. Then, subtract: 20тИТ1=19.
80├╖4тИТ7├╖7=20тИТ1=19
Calculate the outer square bracket
Substitute 19 into the outer bracket: 30тИТ19=11.
30тИТ19=11
Final subtraction
Subtract the result of the brackets from 50: 50тИТ11=39.
50тИТ11=39
There appears to be a mismatch between the standard BODMAS evaluation and the provided option. Following the correct order of operations, the result is 39. Given the options provided, if forced to check the expression logic 50тИТ[30тИТ(20тИТ1)]=50тИТ11=39.
This topic is foundational for Data Interpretation and number series questions where strict order of operations is required to get the correct tabular value.