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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−', what will come in place of the question mark ‘?’ in the following equation? 28 B 4 D 20 A 5 C 8 = ?
117
116
122
119
116
Apply BODMAS rule immediately after substituting symbols (B=multiply, D=subtract, A=divide, C=add) to prevent order-of-operation errors.
Apply BODMAS rule immediately after substituting symbols (B=multiply, D=subtract, A=divide, C=add) to prevent order-of-operation errors.
Substitution of signs
Replace the letters with their given mathematical operators in the expression 28 B 4 D 20 A 5 C 8: 28 * 4 - 20 / 5 + 8.
Applying BODMAS
First, perform division: 20 / 5 = 4. Equation becomes 28 * 4 - 4 + 8. Second, perform multiplication: 28 * 4 = 112. Equation becomes 112 - 4 + 8.
Final Calculation
Perform addition and subtraction: 112 - 4 = 108, and 108 + 8 = 116.
A: 117 is incorrect because it fails to result from the standard BODMAS sequence. C: 122 is incorrect as it results from ignoring the division priority. D: 119 is incorrect as it results from incorrect arithmetic or order of operations.
B is correct because following the BODMAS rule (Division, Multiplication, Addition, Subtraction) on the substituted expression 28 * 4 - 20 / 5 + 8 leads exactly to 116.
Always remember that division and multiplication have higher precedence than addition and subtraction. In competitive exams, double-check your division result before proceeding to ensure no calculation errors ripple through the equation.