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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? 147 A 3 C 51 D 16 B 3 = ?
52
59
50
54
52
Apply BODMAS rule strictly: perform division and multiplication first, then addition and subtraction to ensure accuracy in multi-step arithmetic.
Apply BODMAS rule strictly: perform division and multiplication first, then addition and subtraction to ensure accuracy in multi-step arithmetic.
Mapping the Symbols
Replace the given letters with their mathematical counterparts: 147 A 3 C 51 D 16 B 3 becomes 147 ÷ 3 + 51 - 16 × 3.
Applying BODMAS
Follow BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction): First divide (147 ÷ 3 = 49), then multiply (16 × 3 = 48). The equation becomes 49 + 51 - 48.
Final Calculation
Perform addition and subtraction: 49 + 51 = 100, then 100 - 48 = 52.
B: 59 results from incorrect order of operations (e.g., adding before multiplying); C: 50 results from arithmetic errors; D: 54 results from miscalculating the product 16x3 or the sum 49+51.
A is correct because applying the BODMAS rule to the expression 147 ÷ 3 + 51 - 16 × 3 yields 49 + 51 - 48 = 52.
In any substitution-based reasoning problem, always perform division and multiplication operations in the same step to save time, then resolve addition and subtraction left-to-right.
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