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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then what will come in place of the question mark (?) in the following equation?
104 A 4 D 3 B 9 C 12 = ?
5
34
11
20
11
Quick Trick: Substitute operator symbols first, then perform Division (104 ÷ 4 = 26) and Multiplication (3 × 9 = 27) simultaneously before performing Addition and Subtraction: 26 - 27 + 12 = 11.
Substitute operator symbols first, then perform Division (104 ÷ 4 = 26) and Multiplication (3 × 9 = 27) simultaneously before performing Addition and Subtraction: 26 - 27 + 12 = 11.
Symbol Replacement
Replace the letters with their respective mathematical operations as given: A with '÷', B with '×', C with '+', and D with '−'. The expression becomes: 104 ÷ 4 − 3 × 9 + 12.
Apply BODMAS Rule (Division & Multiplication)
Perform Division first: 104 ÷ 4 = 26. Then perform Multiplication: 3 × 9 = 27. The expression simplifies to: 26 − 27 + 12.
Apply BODMAS Rule (Addition & Subtraction)
Group positive numbers together and add: 26 + 12 = 38. Finally, subtract 27: 38 − 27 = 11.
A: 5 is incorrect because it results from a calculation error ignoring proper BODMAS order. B: 34 is incorrect due to incorrect precedence or arithmetic signs. D: 20 is incorrect as it wrongly combines operations without following standard order.
C is correct because substituting the given operators yields 104 ÷ 4 − 3 × 9 + 12 = 26 − 27 + 12 = 11.
In mathematical reasoning questions with sign substitutions, always perform Division and Multiplication together in one step left-to-right before solving Addition and Subtraction to save time and avoid mistakes.