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4(36÷3)×(48÷6)−(16÷2)
24
21
23
22
22
Solve inner brackets first: (36÷3)=12, (48÷6)=8, (16÷2)=8. Then perform: (12 × 8 - 8) / 4 = (96 - 8) / 4 = 88 / 4 = 22.
Expression to evaluate: (36 ÷ 3) × (48 ÷ 6) - (16 ÷ 2) / 4
BODMAS Rule: B-Bracket, O-Of, D-Division, M-Multiplication, A-Addition, S-Subtraction
Solve inner brackets first: (36÷3)=12, (48÷6)=8, (16÷2)=8. Then perform: (12 × 8 - 8) / 4 = (96 - 8) / 4 = 88 / 4 = 22.
Students often make the error of dividing by 4 only the last term instead of the entire numerator result due to incorrect bracket expansion.
Evaluate parentheses
According to the BODMAS rule, first solve the operations inside the parentheses.
(36÷3)=12,(48÷6)=8,(16÷2)=8
Substitute and simplify the numerator
Substitute the evaluated values into the expression and solve multiplication first.
12×8−8=96−8=88
Final division
Divide the resulting numerator by the denominator.
488=22
D is correct because the step-by-step simplification of the expression results in 22.
Always verify order of operations when expressions involve multiple divisions and subtractions, as this is a frequent source of calculation errors in aptitude sections.