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The value of 122+144−364−12=?
120
116
132
108
120
Use BODMAS: Compute squares and square roots first, then proceed with addition and subtraction sequentially to avoid order-of-operation errors.
Expression given is 12² + sqrt{144} - 3sqrt{64} - 12.
a2+b−cd−e=x
Use BODMAS: Compute squares and square roots first, then proceed with addition and subtraction sequentially to avoid order-of-operation errors.
Students often miscalculate 364 as (3×64) vs performing multiplication before subtraction; additionally, some subtract 12 at the wrong stage.
Evaluate powers and roots
Calculate 122=144, 144=12, and 64=8.
144+12−3(8)−12
Perform multiplication
Multiply the constant with the root value: 3×8=24.
144+12−24−12
Simplify the final expression
Calculate the result by performing addition and subtraction from left to right: 144+12−24−12=156−24−12=132−12=120.
120
A is correct because the result of the simplification 144+12−24−12 is 120.
This basic arithmetic foundation is critical for Data Interpretation (DI) sets, where quick calculation of percentages and square roots determines the time taken to solve the entire set.