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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-’, what will come in place of the question mark (?) in the following equation?
8 D 46 A 46 B 40 C 47 = ?
16
17
13
15
15
Quick Trick: Replace letters with mathematical operators and follow the strict BODMAS order of operations: Division first, then Multiplication, then Addition/Subtraction.
Replace letters with mathematical operators and follow the strict BODMAS order of operations: Division first, then Multiplication, then Addition/Subtraction.
Symbol Substitution
Substitute each letter with its corresponding operator: A becomes ÷, B becomes ×, C becomes +, and D becomes -. The expression 8 D 46 A 46 B 40 C 47 transforms into: 8 - 46 ÷ 46 × 40 + 47.
Division (BODMAS - D)
Perform division first: 46 ÷ 46 = 1. The equation becomes: 8 - 1 × 40 + 47.
Multiplication (BODMAS - M)
Perform multiplication next: 1 × 40 = 40. The equation becomes: 8 - 40 + 47.
Addition & Subtraction (BODMAS - AS)
Rearrange and perform addition and subtraction: (8 + 47) - 40 = 55 - 40 = 15.
A: 16 is incorrect due to incorrect order of operations or sign miscalculation. B: 17 is incorrect as 55 - 40 equals 15, not 17. C: 13 is incorrect resulting from arithmetic error.
D is correct because substituting the given operators yields 8 - (46 ÷ 46) × 40 + 47 = 8 - 40 + 47 = 15.
In mathematical operational substitution problems, always perform division and multiplication before addition and subtraction to avoid common order-of-operation errors.