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Examoogle • User • info@examoogle.com • EE-2024-8821
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If 'A' stands for '÷', 'B' stands for '×', 'C' stands for '+' and 'D' stands for '−', then the resultant of which of the following would be 113?
96 C 12 B 2 D (42 A 6) D 3 C 20
96 D 12 A 2 C (42 B 6) A 3 C 20
96 C 12 A 2 D (42 A 6) A 3 D 20
96 D 12 B 2 C (42 A 6) B 3 C 20
96 D 12 B 2 C (42 A 6) B 3 C 20
Apply BODMAS/PEMDAS. Replace the letters with operators: A=/, B=*, C=+, D=-. Calculate the value in the parentheses first, then solve the expression from left to right.
Apply BODMAS/PEMDAS. Replace the letters with operators: A=/, B=*, C=+, D=-. Calculate the value in the parentheses first, then solve the expression from left to right.
Mapping Operators
Replace letters with arithmetic symbols: A = /, B = *, C = +, D = -. For Option D, the equation is: 96 - 12 * 2 + (42 / 6) * 3 + 20.
BODMAS Simplification
Solve the parenthesis (42 / 6) = 7. Now the expression is 96 - 12 * 2 + 7 * 3 + 20.
Multiplication and Final Calculation
Perform multiplication: 12 * 2 = 24 and 7 * 3 = 21. The equation becomes 96 - 24 + 21 + 20. Solving left to right: 72 + 21 + 20 = 113.
A: 96 + 12 * 2 - (42 / 6) - 3 + 20 = 133; B: 96 - 12 / 2 + (42 * 6) / 3 + 20 = 214; C: 96 + 12 / 2 - (42 / 6) + 3 - 20 = 79. None of these result in 113.
D is correct because evaluating '96 D 12 B 2 C (42 A 6) B 3 C 20' with the given operators yields exactly 113.
Always evaluate the expressions inside parentheses first when solving multi-step mathematical coding problems to save time.
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