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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? 93 D 7 B 5 C (69 A 3) C 26 = ?
75
122
93
107
107
Substitute the symbols with their mathematical operators strictly according to BODMAS rule: Division first, then Multiplication, Addition, and Subtraction.
Substitute the symbols with their mathematical operators strictly according to BODMAS rule: Division first, then Multiplication, Addition, and Subtraction.
Step 1: Decode the symbols
Replace the letters with their respective mathematical operators given in the prompt: A = ÷, B = ×, C = +, D = −.
Step 2: Rewrite the expression
Substituting the symbols in 93 D 7 B 5 C (69 A 3) C 26 gives: 93 - 7 × 5 + (69 ÷ 3) + 26.
Step 3: Apply BODMAS rule
First, evaluate parenthesis and multiplication/division: (69 ÷ 3) = 23 and (7 × 5) = 35. The expression becomes: 93 - 35 + 23 + 26.
Step 4: Perform Addition and Subtraction from left to right
93 - 35 = 58. Then, 58 + 23 = 81. Finally, 81 + 26 = 107.
A: 75 is incorrect due to arithmetic calculation errors or skipping bracket evaluation. B: 122 is incorrect due to incorrect precedence order. C: 93 is incorrect and represents an uncalculated intermediate term.
D is correct because substituting the operators and strictly following the BODMAS rule yields 107.
Always solve brackets first and perform division/multiplication before addition/subtraction to avoid sign errors in arithmetic reasoning questions.
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