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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? 18 A 6 B 11 C 8 D 6 = ?
35
33
36
34
35
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly to the substituted expression to avoid arithmetic errors.
Apply the BODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction) strictly to the substituted expression to avoid arithmetic errors.
Substitute Symbols
Replace the letters with their respective mathematical operations: A=÷, B=×, C=+, D=-. The equation 18 A 6 B 11 C 8 D 6 becomes 18 ÷ 6 × 11 + 8 - 6.
Apply BODMAS Rule
First perform division: 18 ÷ 6 = 3. Now the equation is 3 × 11 + 8 - 6. Next, perform multiplication: 3 × 11 = 33. Now the equation is 33 + 8 - 6.
Final Calculation
Perform addition: 33 + 8 = 41. Finally, perform subtraction: 41 - 6 = 35.
B is wrong because 33 does not account for the final operation; C is wrong because 36 results from incorrect order of operations; D is wrong because 34 is off by 1 from the correct calculation result.
A is correct because substituting the operators according to BODMAS (18/611+8-6) yields exactly 311+8-6 = 33+8-6 = 41-6 = 35.
In competitive exams, always check if the division operator results in a whole number; if not, re-verify your substitution as these problems are designed to yield integer results.
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