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If 'A' stands for '*', 'B' stands for '/', 'C' stands for '-', and 'D' stands for '+', what is the result of (20 A 4) B 2 D 5 C 10 =?
35
25
30
40
35
Apply BODMAS rule immediately after replacing letters with arithmetic signs: Bracket, Division, Multiplication, Addition, Subtraction.
Apply BODMAS rule immediately after replacing letters with arithmetic signs: Bracket, Division, Multiplication, Addition, Subtraction.
Variable Substitution
Replace the letters in the expression (20 A 4) B 2 D 5 C 10 with their given signs: A=*, B=/, C=-, D=+. The expression becomes (20 * 4) / 2 + 5 - 10.
BODMASApplication
First, solve inside the parenthesis: 20 * 4 = 80. The expression is now 80 / 2 + 5 - 10.
Arithmetic Resolution
Perform division: 80 / 2 = 40. Then perform addition: 40 + 5 = 45. Finally, perform subtraction: 45 - 10 = 35.
B: 25 is incorrect because it ignores the correct order of operations or implies wrong calculation; C: 30 is incorrect as it results from misapplying signs; D: 40 is incorrect as it fails to follow the division or subtraction sequence correctly.
A is correct because the expression (20 * 4) / 2 + 5 - 10 simplifies to 80 / 2 + 5 - 10, which yields 40 + 5 - 10 = 35.
Always ensure you solve the bracketed part first before moving to division and multiplication to avoid common errors in mathematical aptitude questions.