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Examoogle • User • info@examoogle.com • EE-2024-8821
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If A means ÷, B means ×,Cmeans +, and D means -, find the value: 10 B 3 D 8 A 2 C 5 =?
31
30
32
29
31
Given: Expression: 10 B 3 D 8 A 2 C 5. Sign meanings: A = ÷, B = ×, C = +, D = -.
Expression: 10 B 3 D 8 A 2 C 5. Sign meanings: A = ÷, B = ×, C = +, D = -.
BODMAS=Bracket, Of, Division, Multiplication, Addition, Subtraction
Apply the BODMAS rule strictly: first divide (A), then multiply (B), then add (C), and finally subtract (D). Calculate 10×3=30 and 8÷2=4 mentally to simplify the expression to 30−4+5.
Performing operations from left to right without respecting the BODMAS hierarchy, such as doing 3−8 before division.
Substitution of signs
Replace the letters A, B, C, and D with their respective mathematical operators: ÷, ×, +, -.
10×3−8÷2+5
Division step (BODMAS)
Perform the division operation first: 8÷2=4.
10×3−4+5
Multiplication step (BODMAS)
Perform the multiplication operation next: 10×3=30.
30−4+5
Addition and Subtraction
Perform the final addition and subtraction: 30−4=26 and 26+5=31.
26+5=31
A is correct because the step-by-step simplification of the expression 10×3−8÷2+5 results in 30−4+5=31.
This topic is foundational for all competitive exams; always look for the BODMAS order in complex arithmetic chains to avoid silly errors.